- Type of paper
: Book
Title: Least Squares Problems. Financial Mathematics.
- Authors:
- Scitovski, Rudolf (42563)
- Editors
- Meler, Marcel
Publisher: Ekonomski fakultet i Elektrotehnički fakultet
Year: 1993
Number of pages: 144
Number of references: 56
Language: hrvatski
- Type of paper
: Book
Title: Linear algebra
- Authors:
- Jukić, Dragan (145661)
- Editors
- Meler, Marcel
Publisher: Ekonomski fakultet
Year: 1992
Number of pages: 103
Number of references: 5
Language: hrvatski
- Type of paper
: Book
Title: Numerical Analysis. Probability and statistics.
- Authors:
- Scitovski, Rudolf (42563)
- Galić, Radoslav (81682)
- Šilac-Benšić, Mirta
- Editors
- Pintarić, Antun
Publisher: Elektrotehnicki fakultet Osijek
Year: 1994
Number of pages: 330
Number of references: 52
Language: hrvatski
- Type of paper
: Book
Title: Mathematics
- Authors:
- Crnjac, Miljenko (135410)
- Jukić, Dragan (145661)
- Scitovski, Rudolf (42563)
- Editors
- Boras, Ivan
Publisher: Ekonomski fakultet
ISBN: 953-6073-03-X
Year: 1994
Number of pages: 378
Number of references: 36
Language: hrvatski
Summary: This book presents topics in one variable calculus and
financial mathematics. The book is written to the syllabus of mathematics
for first year students of Economics and Agronomy at the University of
Osijek.
The textbook contains nine chapters dealing with: numbers, functions,
sequences, series, limits, differentiation, integration, differntial
equations and finally a substantial chapter on the mathematics of finance.
Keywords: mathematics, sequences, functions, differentiation, integration, financial mathematics
- Type of paper
: Book
Title: Functions of complex variable
- Authors:
- Galić, Radoslav (81682)
- Editors
- Jović, Franjo (18985)
- Marošević, Tomislav (154736)
Publisher: Elektrotehnicki fakultet Osijek
ISBN: 953-6032-10-4
Year: 1994
Number of pages: 102
Number of references: 5
Language: hrvatski
- Type of paper
: Book
Title: Introduction in Linear Algebra
- Authors:
- Galić, Radoslav (81682)
Publisher: Elektrotehnicki fakultet Osijek
Year: 1995
Number of pages: 104
Number of references: 5
Language: hrvatski
- Type of paper
: Paper in journal
Title: A special nonlinear least square problem
- Authors:
- Scitovski, Rudolf (42563)
Journal: Journal of Computational and Applied Mathematics
Number: 3
ISSN: 0377-0427
Volume: 53
Year: 1994
Pages: from 323 to 331
Number of references: 10
Language: engleski
Summary: In this paper we consider the existence of the solution of
aspecial nonlinear least squares problem. We find the necessary condition
on the data, which insure the existence of the optimal parameters for the
asymmetric S-function in the sense of the least squares.
Keywords: nonlinear least squares parameter estimation
- Type of paper
: Paper in journal
Title: Analysis of the chick growth characteristics by means of
asymmetric S-function
- Authors:
- Kralik, Gordana
- Scitovski, Rudolf (42563)
Journal: Stočarstvo
Number: 5
Volume: 47
Year: 1993
Pages: from 207 to 213
Number of references: 13
Language: hrvatski
- Type of paper
: Paper in journal
Title: Recursive Relations and Powers of Square Matrices
- Authors:
- Jukić, Dragan (145661)
Journal: Ekonomski vjesnik
Number: 1
ISSN: 0353-359
Volume: 6
Year: 1992
Pages: from 133 to 136
Number of references: 3
Language: hrvatski
- Type of paper
: Paper in journal
Title: On some question of Gear, Grubb and kraljević
- Authors:
- Crnjac, Miljenko (135410)
- Guljaš, Boris
- Miller, Harry I.
Journal: Acta Math. Hung.
Number: 3
Volume: 57
Year: 1991
Pages: from 253 to 257
Number of references: 16
Language: engleski
- Type of paper
: Paper in journal
Title: On the image of two sets of positive outer Lebesgue
measure in Rn
- Authors:
- Crnjac, Miljenko (135410)
- Miller, Harry I.
Journal: Acta Math. Univ. Comenianae
Volume: 58
Year: 1991
Pages: from 11 to 16
Number of references: 9
Language: engleski
- Type of paper
: Paper in journal
Title: One Solution of Pythagora's equation
- Authors:
- Crnjac, Miljenko (135410)
Journal: Život i škola
Year: 1993
Pages: from 0 to 0
- Type of paper
: Paper in journal
Title: Two different proofs of Weierstrasse theorem
- Authors:
- Crnjac, Miljenko (135410)
Journal: Život i škola
Year: 1993
Pages: from 0 to 0
Language: hrvatski
- Type of paper
: Paper in journal
Title: U-K seminets of the maximal degree
- Authors:
- Galić, Radoslav (81682)
Journal: Glasnik matematički
Number: 45
ISSN: 0017-095X
Volume: 25
Year: 1990
Pages: from 9 to 20
Number of references: 6
Language: engleski
- Type of paper
: Paper in journal
Title: Credit payment strategies
- Authors:
- Dukić, Branimir
- Francišković, Drago (130842)
- Jukić, Dragan (145661)
- Scitovski, Rudolf (42563)
- Šilac-Benšić, Mirta
Journal: Financijska praksa
Number: 1
ISSN: 0350-5669
Volume: 18
Year: 1994
Pages: from 15 to 26
Number of references: 9
Language: hrvatski
Summary: This paper contains mathematical explanation of the
software which makes it
possible for credit users to choose their own payment strategies.
In addition, the paper includes two concrete strategies:
the strategy based on constant payment amounts and the strategy based on
payment amounts harmonised with the expected profit.
Keywords: financial mathematics, credit payment
- Type of paper
: Paper in journal
Title: Impossible figures
- Authors:
- Scitovski, Rudolf (42563)
- Scitovski, Klaudija
Journal: Matka
Number: 10
ISSN: 1330-1047
Volume: 3
Year: 1994
Pages: from 55 to 60
Language: hrvatski
- Type of paper
: Paper in journal
Title: Mathematics on chessboard
- Authors:
- Vukojević, Drago
- Scitovski, Rudolf (42563)
Journal: Matka
Number: 12
ISSN: 1330-1047
Volume: 3
Year: 1994
Pages: from 146 to 152
Language: hrvatski
- Type of paper
: Paper in journal
Title:
- Authors:
- Galić, Dario
- Scitovski, Rudolf (42563)
Journal: Matematičko-fizički list
ISSN: 0543-0038
Language: hrvatski
- Type of paper
: Paper in journal
Title:
- Authors:
- Ilić, Igor
- Tonković, S.
- Mađarević, R.
Journal: Innovation et Technologie en Biologie et Medecine
Number: 5
Volume: 13
Year: 1992
Pages: from 522 to 526
Language: francuski
- Type of paper
: Paper in journal
Title: Entropies of coding and noncoding sequences of DNA and
proteins
- Authors:
- Lauc, Gordan
- Ilić, Igor
- Hefer-Lauc, M.
Journal: Biophysical Chemitry
Volume: 42
Year: 1992
Pages: from 7 to 11
Language: engleski
- Type of paper
: Paper in proceedings
Title: One Generalization of Growth Law
- Authors:
- Scitovski, Rudolf (42563)
- Galić, Radoslav (81682)
- Editors
- Martić, Ljubomir
- Neralić, Luka
- Pašagić, Husein
Proceedings title: Zbornik radova 3. Konferencije iz operacijskih istraživanja
Language: hrvatski
Place: Zagreb
Year: 1993
Pages: from 313 to 323
Meeting: 3. konferencija iz operacijskih istraživanja
Held: from 10/04/93 to 10/06/93
- Type of paper
: Paper in proceedings
Title: Feasibility of tools for solving a linear over-determined
system
- Authors:
- Fischer, Darko (132776)
- Jović, Franjo (18985)
- Scitovski, Rudolf (42563)
- Editors
- Čerić, Vlatko
- Hljuz Dobrić, Vesna
Proceedings title: Proceedings of the 15th Internat. Conf. on Information Technology Interfaces
Language: engleski
Place: Pula
Year: 1993
ISBN/ISSN: 1330-1012
Pages: from 315 to 319
Meeting: International Conference on INFORMATION TECHNOLOGY INTERFACES
Held: from 06/15/93 to 06/18/93
Summary: Over-determined linear system is presented. Four types
offeasible solutions are given: mean value of all determinedsubsystems,
mean value of determined subsystem which solutionsare in the confidence
interval, minimum square values forabsolute differences and minimum
relative square values of allequations. The feasibility of solutions is
discussed.
Keywords: linear system, feasible solution, risk factor
- Type of paper
: Paper in proceedings
Title: Application of the Graph Theory to Transport
- Authors:
- Crnjac, Miljenko (135410)
Proceedings title: Znanost i praksa mehanizacije poljoprivrede
Place: Đakovo, Hrvatska
Year: 1992
Pages: from 309 to 312
Meeting: Znanost i praksa mehanizacije poljoprivrede
- Type of paper
: Paper in proceedings
Title:
- Authors:
- Crnjac, Miljenko (135410)
Proceedings title: Zbornik Poljoprivrednog fakulteta Sveučilišta J.J. Strossmayer u Osijeku
Language: hrvatski
Place: Osijek
Year: 1993
Pages: from 0 to 0
- Type of paper
: Paper in proceedings
Title: Solving the parabolic differential equation by a computer
- Authors:
- Galić, Radoslav (81682)
- Editors
- Andersen, Adolf
Proceedings title: VIII. Internationales wissenschaftliches Kolloquium: Wissenschaft fuer die Praxi
Language: engleski
Place: Bremen (D), Njemačka
Year: 1992
Pages: from 29 to 39
Meeting: Internationales wissenschaftliches Kolloquium: Wissenschaft fuer die Praxis
Held: from 10/12/92 to 10/16/92
- Type of paper
: Paper in proceedings
Title: International Cooperation of the faculty of Electrical
Engineering in Osijek
- Authors:
- Galić, Radoslav (81682)
- Ivanović, Milan (104233)
- Scitovski, Rudolf (42563)
- Editors
- Srb, Vjekoslav
Proceedings title: Zbornik radova IV. simpozija o novim tehnologijama
Language: hrvatski
Place: Zagreb
Year: 1993
Pages: from 128 to 131
Meeting: IV. simpozij o mnovim tehnologijama
Held: from 10/25/93 to 10/27/93
- Type of paper
: Paper in proceedings
Title: Null Estimation in Beam Pattern of Adaptive Antenna Array
- Authors:
- Sobol, Dragan (112164)
- Marošević, Tomislav (154736)
- Editors
- Jerič, Viljem
Proceedings title: 33. simpozij ETAN u pomorstvu
Language: hrvatski
Place: Zagreb
Year: 1991
ISBN/ISSN: 0353-4685
Pages: from 283 to 286
Meeting: ETAN u pomorstvu
Held: from 06/24/91 to 06/26/91
- Type of paper
: Paper in proceedings
Title: Estimation of the optimal initial conditions in
mathematical model
- Authors:
- Scitovski, Rudolf (42563)
- Marošević, Tomislav (154736)
- Jukić, Dragan (145661)
- Editors
- Kalpić, Damir
- Hljuz-Dobrić, Vesna
Proceedings title: ITI'95 Proceedings of the 17th Conference on INFORMATION TECHNOLOGY INTERFACES
Language: engleski
Place: Zagreb
Year: 1995
ISBN/ISSN: 1330-1012
Pages: from 475 to 480
Meeting: International Conference on INFORMATION TECHNOLOGY INTERFACES
Held: from 06/13/95 to 06/16/95
Summary: It was exhibited that solving the parameter identification
problem in mathematical model
described by a system of ordinary differential equations of first order
using the smoothing the data methods, gives better
results than the well known quasilinearization method.
But in this case one has to estimate the optimal initial conditions.
In this paper we give an efficient method for solving this problem.
Keywords: optimal initial conditions, quasilinearization, parameter identification
- Type of paper
: Paper in proceedings
Title: Application of the moving least squares method in surface
generating
- Authors:
- Scitovski, Rudolf (42563)
- Jukić, Dragan (145661)
- Bašić, Ivica
- Editors
- Kalpić, Damir
- Hljuz-Dobrić, Vesna
Proceedings title: ITI'95 Proc. of the 17th Internat. Confer. on INFORMATION TECHNOLOGY INTERFACES
Language: engleski
Place: Zagreb
Year: 1995
ISBN/ISSN: 1330-1012
Pages: from 469 to 474
Meeting: International Conference on INFORMATION TECHNOLOGY INTERFACES
Held: from 06/13/95 to 06/16/95
Summary: We give a computer method for surface generating from data
gathered by measurements.
The method is based on smoothing the data by using the
moving least squares method. The paper includes a
numerical example done in Mathematica.
Keywords: surface generating, moving least squares
- Type of paper
: Paper in proceedings
Title: Application of the moving least squares method for solving
parameter identification problem in mathematical model
- Authors:
- Galić, Radoslav (81682)
- Scitovski, Rudolf (42563)
- Marošević, Tomislav (154736)
- Editors
- Hunjak, Tihomir
- Martić, Ljubomir
- Neralić, Luka
Proceedings title: KOI'94 Zbornik radova 4. konferencije operacijskih istraživanja
Language: hrvatski
Place: Zagreb
Year: 1994
Pages: from 181 to 191
Meeting: Konferencija iz operacijskih istraživanja
Held: from 10/04/94 to 10/06/94
Summary: We give a method for solving the parameter
identification problem in the
mathematical model using
the noninterpolated moving least squares method. The method was ilustrated
in
one numerical example.
Keywords: parameter identifications, parameter estimation, moving least squares, mathematical model, nonlinear least squares
- Type of paper
: Paper in proceedings
Title: New credit payment strategies
- Authors:
- Crnjac, Miljenko (135410)
- Jukić, Dragan (145661)
- Scitovski, Rudolf (42563)
- Editors
- Hunjak, Tihomir
- Martić, Ljubomir
- Neralić, Luka
Proceedings title: KOI'94 Zbornik radova Konferencije iz operacijskih istraživanja
Language: hrvatski
Place: Zagreb
Year: 1994
Pages: from 218 to 228
Meeting: Konferencija iz operacijskih istraživanja
Held: from 10/04/94 to 10/06/94
Summary: This paper contains some
new credit payment strategies as appendix to the paper Š4Ć, having a
possibility
of software extension.
Keywords: financial mathematics, credit payment
- Type of paper
: Paper in proceedings
Title: Estimating the depthwise distribution of earth's layers
- Authors:
- Scitovski, Rudolf (42563)
- Galić, Radoslav (81682)
- Kolund, Ivica
- Bašić, Ivica
- Jukić, Dragan (145661)
- Editors
- Hunjak, Tihomir
- Martić, Ljubomir
- Neralić, Luka
Proceedings title: KOI'95 Zbornik radova Konferencije iz operacijskih istraživanja
Language: hrvatski
Place: Zagreb
Year: 1995
Pages: from 111 to 120
Meeting: Konferencija iz operacijskih istraživanja
Held: from 10/03/95 to 10/05/95
Summary: The depthwise distribution of earth's layers in a
limited area can
be estimated using experimental data. In this paper we present a method
which,
using the given experimental data, gives an explicit function such that its
graph represents the upper (respectively lower) boundary surface of a
layer. Our
method is based on the moving least squares method.
Keywords: surfaces generating, moving least squares method
- Type of paper
: Paper in proceedings
Title: The problem of optimal initial conditions in a
mathematical model
- Authors:
- Galić, Radoslav (81682)
- Scitovski, Rudolf (42563)
- Marošević, Tomislav (154736)
- Jukić, Dragan (145661)
- Editors
- Hunjak, Tihomir
- Martić, Ljubomir
- Neralić, Luka
Proceedings title: KOI'95 Zbornik radova Konferencije iz operacijskih istraživanja
Language: hrvatski
Place: Zagreb
Year: 1995
Pages: from 62 to 71
Meeting: Konferencija iz operacijskih istraživanja
Held: from 10/03/95 to 10/05/95
Summary: A mathematical model is usually described by a single
or several
differential equations with some number of parameters, which are not known
in
advance. This parameters are to be determined using some experimental data.
The initial conditions in a model are usually not known. In this paper we
present an efficient method for estimating the optimal initial conditions.
Keywords: optimal initial conditions, quasilinearization, parameter identification
- Type of paper
: Paper in proceedings
Title: Estimating the parameters in mathematical model using the
total least squares method
- Authors:
- Jukić, Dragan (145661)
- Crnjac, Miljenko (135410)
- Scitovski, Rudolf (42563)
- Editors
- Hunjak, Tihomir
- Martić, Ljubomir
- Neralić, Luka
Proceedings title: KOI'95 Zbornik radova 5. Konferencije iz operacijskih istraživanja
Language: hrvatski
Place: Zagreb
Year: 1995
Pages: from 99 to 110
Meeting: Konferencija iz operacijskih istraživanja
Held: from 10/03/95 to 10/05/95
Summary: In this paper we apply the total least squares method to
estimate the
parameters in a mathematical model. This method is particularly suitable
when
the measured values of both the independent and dependent variable
contain errors. Our method is illustrated by examples of linear regression.
Keywords: total least squares, errors-in-variables, parameter estimation, linear regression
- Type of paper
: Paper in proceedings
Title: New product diffusion models
- Authors:
- Meler, Marcel
- Scitovski, Rudolf (42563)
- Editors
- Hunjak, Tihomir
- Martić, Ljubomir
- Neralić, Luka
Proceedings title: KOI'95 Zbornik radova 5. Konferencije iz operacijskih istraživanja
Language: hrvatski
Place: Zagreb
Year: 1995
Pages: from 194 to 203
Meeting: Konferencija iz operacijskih istraživanja
Held: from 10/03/95 to 10/05/95
Summary: New product diffusion models
The objective of this paper is to review and assess some of the well
known new product diffusion models
with the respect to the assumptions about the change of the rate of growth
of the
current market.
One new model has been proposed.
For these models the number
and size of consumer categories have also been analised.
Keywords: new product, diffusion model
- Type of paper
: Paper in proceedings
Title: Surface generating by the moving least squares method
- Authors:
- Marošević, Tomislav (154736)
- Scitovski, Rudolf (42563)
- Galić, Radoslav (81682)
- Editors
- Jozsa, Lajos
Proceedings title: PMMF JUBILEUMI TUDOMANYOS ULESSZAK '95
Language: engleski
Place: Pecs, Hungary
Year: 1995
Meeting: PMMF JUBILEUMI TUDOMANYOS ULESSZAK '95
Held: from 09/07/95 to 09/08/95
Summary: It is possible to generate a surface in a limited region
using some experimental data. In this paper we present a method for surface
generating which by using the given experimental data, gives an explicit
function such that its graph represents surfaces. The method is based on
smoothing the data by using the moving least squares method.
Keywords: surface generating, moving least squares
- Type of paper
: Paper in proceedings
Title: Application of assymetric S-function for analysis and
valuation of the growth of boars
- Authors:
- Kralik, Gordana
- Scitovski, Rudolf (42563)
- Senčić, Đuro
- Editors
- Aumaitre, A.
Proceedings title: 44th Annual Meeting of the European Association of the Animals Production
Language: engleski
Place: Aarhus, Denmark
Year: 1993
Meeting: Annual Meeting of the European Association of the Animals Production
Held: from 08/16/93 to 08/19/93
- Type of paper
: Summary in proceedings
Title: Moving total least squares for parameter identification in
mathematical model
- Authors:
- Scitovski, Rudolf (42563)
- Ungar, Šime
- Jukić, Dragan (145661)
- Editors
- Kleinschmidt, Peter
- Moehring, R.
Proceedings title: Symposium ueber OPERATIONS RESEARCH (SOR'95)
Language: engleski
Place: Passau, Deutschland
Year: 1995
Pages: from 116 to 116
Meeting: SYMPOSIUM ueber OPERATIONS RESEARCH
Held: from 09/13/95 to 09/15/95
Summary:
We consider the parameter identification problem in mathematical model
which is described by a system of differential equations. Usually it is not
possible to express the solution of such a system by means of elementary
functions, but nevertheless, one has to estimate the optimal parameter
values
using the experimental data.
In our paper we apply the smooth-the-data method. In order to obtain
the
smooth functions we are using the moving total least squares method.
The local approximants are linear functions obtained by applying
the total least squares method using appropriate weight functions. This
means
that for each local approximant one has to find the smallest singular value
(e.g. by using the Jacobi's method) of a second order matrix. The reason
for
using the total least squares is the fact that the errors may be expected
in
experimental measurements of both the independent and the dependent
variables
in the model.
Once the optimal parameters are estimated, the optimal initial
conditions
are going to be estimated using the quasilinearisation method.
The method is going to be tested on the mathematical model of insulin
sensitivity.
Keywords: parameter identification, moving total least squares, quasilinearization
- Type of paper
: Summary in proceedings
Title: Modeling the optimal strategy in fish production and game
raising in closed environments
- Authors:
- Petrač, Božidar
- Scitovski, Rudolf (42563)
- Crnjac, Miljenko (135410)
Proceedings title: 31. AGRONOMSKO SAVJETOVANJE
Language: hrvatski
Place: Zagreb
Year: 1995
Pages: from 89 to 89
Meeting: AGRONOMSKO SAVJETOVANJE
Held: from 02/20/95 to 02/24/95
Summary: We analyze the mathematical model of fish production and
game raising in
closed environments. Following well known population models of mathematical
biology, one can define a special model for harvesting fish and game
hunting
in order to economize husbandry. The model is described by an ordinary
differential equation containing several parameters.
By analyzing the steady states in the model, one can determine an
exploitation
strategy which will, after some time, guarantee the maximal possible yield.
The parameters in model can be determined on the basis of empirical data,
by
solving the appropriate parameter identification problem for ordinary
differential equation. To carry this out, one can choose from various
efficient
methods to be found in mathematical literature.
On the basis of such model it is possible to define a long term optimal,
but
ecologically acceptable strategy of managing fish farms and game ranges, to
plan with sufficient precision the amount of fish and game for the market,
and
finally assure the competitiveness on the market.
- Type of paper
: M.A.
Title: Enumeration of sequences
Faculty: Matematički odjel PMF-a Sveučilište u Zagrebu
Date of defense: 06/20/95
Language: hrvatski
Number of pages: 107
Summary: Krešimir Seršić, Enumeration of sequences
Since the enumeration sequences have certain historical significance, in
the beginning have been described Smirnov- ,Newcomb- and Andre- problems.
Sequences, which belong to these problems, can be analyzed using the
properties of ordinary generating functions and exponential generating
functions.
In this work it will be generally dealt with $2$- partitions, only one
example is, exceptionally, $3-$ partition.
In the further analysis the key-role has the elimination theorem. Using
this theorem and also so called general strategy we prove the theorem of
maximal sequence display. The sequences with repeating and fixed schemata
are particularly analysed.
The permanent and its qualities are also discussed in this chapter, as well
as the idiom of conditionless partition.
The last chapter is dedicated to the distingushed sequences. Here is
introduced the term of cluster generating function thogether with some
examples of the use of this theorem.
- Type of paper
: M.A.
Title: Newton-like methods for solving sparse nonlinear systems
of equations
Faculty: Matematički odjel PMF-a Sveučilište u Zagrebu
Date of defense: 06/14/94
Language: hrvatski
Number of pages: 110
Summary: Tomislav Marošević, Newton-like methods for solving sparse
nonlinear
systems of equations
We consider iterative methods of Newton and quasi-Newton types for solving
sparse nonlinear systems of equations.
In introduction some examples of sparse nonlinear systems are showed.
Newton's method and Broyden's secant method are firstly exibited as
fundamental
methods for solving nonlinear systems.
All the methods for solving sparse nonlinear systems of equations
contained in the
main part have property of local and Q-superlinear convergence.
We describe: class of inexact Newton methods,
modified finite difference sparse methods,
Schubert's method,
other sparse secant methods
(Dennis-Marwil method, family of methods with factorization scaling,
Chadee method).
We mention partitioned quasi-Newton updates and
combination of different algorithms for sparse systems
(secant-finite difference algorithm,
a hybrid algorithm as combination of Schubert and SFD algorithm).
Finally, several examples of test problems are mentioned.
- Type of paper
: M.A.
Title: Nonlinear least squares problems in analysis of a function
Faculty: Elektrotehnički fakultet Sveučilište u Zagrebu
Date of defense: 11/26/92
Language: hrvatski
Number of pages: 95
Summary: Vladimir Redžep, Nonlinear least squares problem in
analysis of a function.
This paper presents part of applied least squares method in research of
some particular functions. This work gives one approach to determine
parameters of exponential functions, periodical functions and S-function.
The determination of the optimal parameters lead to system of nonlinear
equations. Levenberg - Marquardt algorithm is used to solve this system.
The review of some recent methods in solving least squares methods is also
presented. This paper contains description of algorithm and corresponding
FORTRAN programms.
The results of this work are applied in research of class of functions. The
programm can be installed on every IBM-compatibile personal computer.
- Type of paper
: Computer program
Title: Strategies of credit payment
- Authors:
- Scitovski, Rudolf (42563)
- Dukić, Branimir
- Jukić, Dragan (145661)
- Francišković, Drago (130842)
- Šilac-Benšić, Mirta
Odering party: Elektrotehnički fakultet Sveučilište u Zagrebu
Institution depot: Elektrotehnički fakultet
HW platform: PC XT/AT/286/386/486
Operating system: DOS
Programming language: CLIPPER
Year: 1993
Summary: With this software it is possible for credit users to
choose their own payment strategies. In addition, the software includes two
concrete strategies: the strategy based on constant payment amounts and the
strategy based on payment amounts harmonisedwith the expected profit.
Keywords: financial mathematics, credit payment
- Type of paper
: Manuscript
Title: The answer to a question raised by prof. F. Vajzović
- Authors:
- Crnjac, Miljenko (135410)
- Type of paper
: Manuscript
Title: Application of the moving least squares method in solving
the parameter identification problem for ordinary differential equations
- Authors:
- Scitovski, Rudolf (42563)
- Jukić, Dragan (145661)
Language: engleski
Summary: We give a method for solving the parameter identification
problemusing the noninterpolated moving least squares method. The metodwas
tested in severel classical examples from chemistry, medicineand economy.
Keywords: parameter identification, parameter estimation, inverse problems, moving least squares
Other: Rad se nalazi na recenziji u časopisu:
Journal of Computational and Applied Mathematics.
- Type of paper
: Manuscript
Title: One generalization of the biological growth model
- Authors:
- Scitovski, Rudolf (42563)
- Galić, Radoslav (81682)
- Jukić, Dragan (145661)
- Marošević, Tomislav (154736)
Language: engleski
Summary: In this paper we consider a generalization of the
biologicalgrowth model. The ordinary differential equation describing
thismodel cannot be integrated by elementary means. In order toestimate the
parameters in the model, we give a method enablingus to estimate, according
to experimental data, the parameters ina model described by a system of
differential equations.
Keywords: growth model, logistic model, parameter identifications, parameter estimation, moving least squares
Other: Rad je poslan u časopis:
Biometrics
- Type of paper
: Manuscript
Title: Analysis and parameter estimation in the growth model
- Authors:
- Scitovski, Rudolf (42563)
- Galić, Radoslav (81682)
- Jukić, Dragan (145661)
- Marošević, Tomislav (154736)
Language: engleski
Summary: In this paper we consider a generalization of the growth
modelwith saturation for the purpose of the forecast stocks of goods.The
ordinary differential equation describing this model cannotbe integrated by
elementary means. We give a method enabling usto estimate the parameters in
this model
Keywords: growth model, logistic model, parameter identifications, parameter estimation, nonlinear least squares
Other: Rad se nalazi na recenziji u časopisu:
- Type of paper
: Manuscript
Title: Existence results for special nonlinear total least
squares problem
- Authors:
- Jukić, Dragan (145661)
- Scitovski, Rudolf (42563)
Language: engleski
Summary: In this paper we prove an existence theorem for a special
nonlinear total least squares problem. We show that the optimal parameters
of the generalized logistic function in the sense of the total least
squares, provided the data satisfy Chebyshev's inequality.
Keywords: Total least squares, Existence problem for optimal parameters
- Type of paper
: Manuscript
Title: Total least squares problem for exponential function
- Authors:
- Scitovski, Rudolf (42563)
- Jukić, Dragan (145661)
Language: engleski
Summary: For the given data we consider the existence problem for
the optimal parameters for the
exponential function approximating this data in the sense of
total least squares. We give sufficient conditions
which guarantee the existence of such optimal parameters.
Keywords: total least squares, orthogonal least squares, errors-in-variables, exponential function, parameter estimation
- Type of paper
: Manuscript
Title: The existence of optimal parameters of the exponential
functions
- Authors:
- Jukić, Dragan (145661)
- Scitovski, Rudolf (42563)
Language: engleski
Summary: The estimation of optimal parameters in a mathematical
model described by the exponential function
is a nonlinear least squares problem.
In this paper we give sufficient conditions which guarantee the
existence of such optimal parameters.
Keywords: parameter estimation, nonlinear least squares
- Type of paper
: Manuscript
Title: Analysis of a parameters identification problem
- Authors:
- Scitovski, Rudolf (42563)
Language: engleski
Summary: We consider a special parameter identification problem
occurring in marketing research, and give conditions on the empirical
data which guarantee the existence of the solution to the problem.
Furthermore, we analyze several different approaches and methods for
solving this parameter identification problem.
Keywords: parameter identification,
- Type of paper
: Invited lecture
Title: Nonlinear least squares problems
Institution: Universitaet des Saarlandes
Year: 1992
- Type of paper
: Other
Title: Credit Payment Strategies
- Authors:
- Scitovski, Rudolf (42563)
- Dukić, Branimir
- Jukić, Dragan (145661)
- Francišković, Drago (130842)
- Šilac-Benšić, Mirta
Type of work: Demonstracija softwarea
Language: hrvatski
Other: Software je prikazan na:
3. konferencija iz operacijskih istraživanja (Rovinj, 04-06. 10.1993.)
