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Compact numerical methods for computers : linear algebra and function minimisation
Nash, John C.,
اطلاعات کتابشناختی
Compact numerical methods for computers : linear algebra and function minimisation
Author :
Nash, John C.,
Publisher :
Hilger,
Pub. Year :
1990
Subjects :
Numerical analysis -- Data processing.
Call Number :
QA 297 .N37 1990
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CONTENTS
(4)
PREFACE TO THE SECOND EDITION
(7)
PREFACE TO THE FIRST EDITION
(9)
A STARTING POINT
(11)
FORMAL PROBLEMS IN LINEAR ALGEBRA
(29)
THE SINGULAR- VALUE DECOMPOSITION AND ITS USE TO SOLVE LEAST- SQUARES PROBLEMS
(40)
HANDLING LARGER PROBLEMS
(59)
SOME COMMENTS ON THE FORMATION OF THE CROSS- PRODUCTS MATRIX A A
(76)
LINEAR EQUATIONS- A DIRECT APPROACH
(82)
THE CHOLESKI DECOMPOSITION
(94)
THE SYMMETRIC POSITIVE DEFINITE MATRIX AGAIN
(104)
THE ALGEBRAIC EIGENVALUE PROBLEM
(112)
REAL SYMMETRIC MATRICES
(129)
THE GENERALISED SYMMETRIC MATRIX EIGENVALUE PROBLEM
(145)
OPTIMISATION AND NONLINEAR EQUATIONS
(152)
ONE- DIMENSIONAL PROBLEMS
(158)
DIRECT SEARCH METHODS
(178)
DESCENT TO A MINIMUM I: VARIABLE METRIC ALGORITHMS
(196)
DESCENT TO A MINIMUM II: CONJUGATE GRADIENTS
(207)
MINIMISING A NONLINEAR SUM OF SQUARES
(217)
LEFT- OVERS
(228)
THE CONJUGATE GRADIENTS METHOD APPLIED TO PROBLEMS IN LINEAR ALGEBRA
(244)
Appendix - NINE TEST MATRICES
(263)
Appendix - LIST OF ALGORITHMS
(265)
Appendix - LIST OF EXAMPLES
(266)
Appendix - FILES ON THE SOFTWARE DISKETTE
(268)
BIBLIOGRAPHY
(273)
INDEX
(281)