📄 dmath.txt
字号:
******************************************************************************
* *
* DMATH.ZIP *
* *
* MATHEMATICAL LIBRARY IN PASCAL *
* (Delphi version) *
* Last updated : July 2004 *
* *
******************************************************************************
AUTHOR : Dr Jean DEBORD
Laboratoire de Pharmacologie, Faculte de Medecine
2 Rue du Docteur Marcland, 87025 Limoges (France)
debord.jean@wanadoo.fr
debord@unilim.fr
******************************************************************************
This library is distributed as freeware. You may use it any way you like, as
long as you don't charge money for it, remove the copyright notices, or hold
anyone liable for its results.
******************************************************************************
CONTENTS
========
Main directory
--------------
DMATH.TXT : This file
GUIDE.PDF : DMath user guide (still very incomplete !)
UNITS directory
--------------
FMATH.PAS : Mathematical functions / complex numbers
FSPEC.PAS : Special functions / probability functions
MATRICES.PAS : Vectors and matrices
RANDNUM.PAS : Random numbers
EIGEN.PAS : Eigensystems
OPTIM.PAS : Function minimization (local minimizers)
SIMOPT.PAS : Function minimization (simulated annealing)
POLYNOM.PAS : Polynomials and rational fractions
FOURIER.PAS : Fast Fourier transform
(modified from Don Cross, with permission)
MCMC.PAS : Simulation by Markov Chain Monte Carlo
STAT.PAS : Statistical functions
REGRESS.PAS : Linear and nonlinear regressions
PASTRING.PAS : Turbo Pascal string routines
PLOTVAR.PAS : Graphic functions common to TEXPLOT and WINPLOT
TEXPLOT.PAS : Plotting routines for LaTeX / PSTricks
WINPLOT.PAS : Plotting routines for Delphi
DCOMPIL.BAT : Batch file for compiling with Delphi
UNITS\REG subdirectory
----------------------
MODELS.PAS : Library of predefined regression models
FIT*.PAS : Individual regression models (used by MODELS.PAS)
DEMO directory
--------------
DCOMPIL.BAT : Batch file for compiling with Delphi
DEMO\FMATH subdirectory
-----------------------
TESTMACH.PAS : Displays some machine-dependent constants
TESTCOMP.PAS : Test of complex number functions
TESTFUNC.PAS : Test of elementary functions
SPECFUNC.PAS : Test of special functions
TESTW.PAS : Test of Lambert's W function
ROOTPOL.PAS : Roots of polynomial
SPECFUNC.DAT : Data for testing special functions
DEMO\FOURIER subdirectory
-------------------------
TESTFFT.DPR : Test of Fast Fourier Transform
(modified from Don Cross, with permission)
DEMO\FPLOT subdirectory
-----------------------
FPLOT.DPR : Function plotter
DEMO\MATRICES subdirectory
--------------------------
CHOLESK.PAS : Cholesky factorization of a positive definite matrix
DETINV.PAS : Determinant and inverse of a square matrix
SYSEQ.PAS : Hilbert matrices (Gauss-Jordan elimination)
SYSEQ_GJ.PAS : System of linear equations (Gauss-Jordan elimination)
SYSEQLU.PAS : System of linear equations (LU decomposition)
SYSEQSVD.PAS : System of linear equations (Singular value decomposition)
SYSEQ_QR.PAS : System of linear equations (QR decomposition)
SYSEQC.PAS : System of linear equations with complex coefficients
EIGENSYM.PAS : Eigenvalues and eigenvectors of a symmetric matrix
EIGENVAL.PAS : Eigenvalues of a general square matrix
EIGENVEC.PAS : Eigenvalues and eigenvectors of a general square matrix
POLYROOT.PAS : Roots of a polynomial with real coefficients
MATRIX1.DAT : Data for determinant, inverse and eigenvalues
MATRIX2.DAT : Data for systems of equations
MATRIX3.DAT : Data for systems of equations with complex coefficients
MATRIX4.DAT : Data for Cholesky factorization
DEMO\MGS subdirectory
---------------------
MGS_DEMO.DPR : Polynomial regression by the modified Gram-Schmidt method
(contributed by Mark Vaughan)
DEMO\MINFUNC subdirectory
-------------------------
MINFUNC.DPR : Minimization of a function of several variables
(GUI version contributed by Philip Fletcher)
DEMO\OPTIM subdirectory
-----------------------
HESSIAN.PAS : Gradient and Hessian of a function of several variables
MIN1.PAS : Minimization of a function of one variable
MINFUNC.PAS : Minimization of a function of several variables (DOS version)
GENALG.PAS : Optimization by genetic algorithm
DEMO\QUADRIT subdirectory
-------------------------
QUADRIT.DPR : Demonstration of a chaotic system: the quadratic iterator
DEMO\RANDOM subdirectory
------------------------
RANTEST.PAS : Test of random number generator
RANGAUS.PAS : Gaussian random numbers
RANMUL.PAS : Random vector from a multinormal distribution
RANMULL.PAS : Random vector from a multi-lognormal distribution
TESTMCMC.PAS : Simulation by Markov Chain Monte Carlo (normal distrib.)
TESTMC2.PAS : Simulation by Markov Chain Monte Carlo (lognormal distrib.)
RANMUL.DAT : Data for multinormal distribution
RANMULL.DAT : Data for multi-lognormal distribution
DEMO\REG subdirectory
---------------------
CORREL.PAS : Variance-covariance and correlation matrix
REGMULT.PAS : Multipe linear regression
TESTPCA.PAS : Principal component analysis
NIST.PAS : Test of regression routines using NIST data
PCA.DAT : Data for principal component analysis
NIST.DAT : Data for NIST.PAS
DEMO\REGNLIN subdirectory
-------------------------
REGNLIN.DPR : Linear and nonlinear regression
*.DAT : Example data files
SYSTEM REQUIREMENTS
===================
- PC or compatible
- Math coprocessor recommended
- Delphi 6.0 or higher
INSTALLATION
============
- Extract the archive in a given directory. Be sure to preserve the
subdirectory structure of the archive (if you use PKUNZIP, be sure to
use the -d option to create subdirectories, i.e. pkunzip -d dmath.zip)
- Add the names of the UNITS and UNITS\REG subdirectories to the search path
of your projects (Menu: Project, Options, Directories/Conditionals, Search path)
The use of the routines is explained in the comment part of each file.
REFERENCES
==========
Software
--------
D. A. BARRY et al.
TOMS algorithm 743 (Lambert's function in Fortran)
http://www.netlib.org/toms/743
B. GOFFE
Program SIMANN.FOR (Simulated Annealing in Fortran)
http://www.netlib.org/opt/simann.f
G. MARSAGLIA
The Diehard Battery of Tests of Randomness
http://stat.fsu.edu/~geo/diehard.html
S. MOSHIER
Cephes Math Library (in C)
http://www.moshier.net
W. H. PRESS, S. A. TEUKOLSKY, W. T. VETTERLING & B. P. FLANNERY
Numerical Recipes in Pascal (Shareware edition)
http://garbo.uwasa.fi/pc/turbopas.html
Turbo Pascal Numerical Methods Toolbox
Borland International, 1986
EISPACK: Library of Fortran routines for
eigenvalues/eigenvectors computations.
http://www.netlib.org/eispack
Books
-----
B. P. CARLIN & T. A. LOUIS
Bayes and Empirical Bayes Methods for Data Analysis.
Chapman & Hall, 1998
A. R. MILLER
Basic Programs for Scientists and Engineers.
Sybex, 1981
W. H. PRESS, S. A. TEUKOLSKY, W. T. VETTERLING & B. P. FLANNERY
Numerical Recipes. The Art of Scientific Computing.
Cambridge University Press, 2nd edition 1992
Available on line at http://www.nr.com
Articles
--------
R. GOMENI & C. GOMENI
Automod : A polyalgorithm for an integrated analysis of
linear pharmacokinetic models.
Comput. Biol. Med., 1979, 9, 39-48
D. W. MARQUARDT
An algorithm for least squares estimation of nonlinear parameters.
J. Soc. Indust. Appl. Math., 1963, 11, 431-441
J. A. NELDER & R. MEAD
A simplex method for function minimization.
Comput. J., 1964, 7, 308-313
E. PERRIN, A. MANDRILLE, M. OUMOUN, C. FONTEIX & I. MARC
Optimisation globale par strategie d'evolution.
Technique utilisant la genetique des individus diploides.
Recherche operationnelle / Operations Research, 1997, 31, 161-201
⌨️ 快捷键说明
复制代码
Ctrl + C
搜索代码
Ctrl + F
全屏模式
F11
切换主题
Ctrl + Shift + D
显示快捷键
?
增大字号
Ctrl + =
减小字号
Ctrl + -