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Compact numerical methods for computers : linear algebra and function minimisation
Nash, John C.,
- ISBN:0852743181
- ISBN:085274319x
- Call Number : QA 297 .N37 1990
- Main Entry: Nash, John C., 1947-
- Title:Compact numerical methods for computers : linear algebra and function minimisation [electronic resource] / J.C. Nash.
- Edition:2nd ed. --.
- Publisher:Bristol : Hilger, 1990.
- Physical Description:xii, 278 p. : ill
- Notes:Includes bibliographical references
- Subject:Numerical analysis -- Data processing.
- CONTENTS
- PREFACE TO THE SECOND EDITION
- PREFACE TO THE FIRST EDITION
- A STARTING POINT
- FORMAL PROBLEMS IN LINEAR ALGEBRA
- THE SINGULAR- VALUE DECOMPOSITION AND ITS USE TO SOLVE LEAST- SQUARES PROBLEMS
- HANDLING LARGER PROBLEMS
- SOME COMMENTS ON THE FORMATION OF THE CROSS- PRODUCTS MATRIX A A
- LINEAR EQUATIONS- A DIRECT APPROACH
- THE CHOLESKI DECOMPOSITION
- THE SYMMETRIC POSITIVE DEFINITE MATRIX AGAIN
- THE ALGEBRAIC EIGENVALUE PROBLEM
- REAL SYMMETRIC MATRICES
- THE GENERALISED SYMMETRIC MATRIX EIGENVALUE PROBLEM
- OPTIMISATION AND NONLINEAR EQUATIONS
- ONE- DIMENSIONAL PROBLEMS
- DIRECT SEARCH METHODS
- DESCENT TO A MINIMUM I: VARIABLE METRIC ALGORITHMS
- DESCENT TO A MINIMUM II: CONJUGATE GRADIENTS
- MINIMISING A NONLINEAR SUM OF SQUARES
- LEFT- OVERS
- THE CONJUGATE GRADIENTS METHOD APPLIED TO PROBLEMS IN LINEAR ALGEBRA
- Appendix - NINE TEST MATRICES
- Appendix - LIST OF ALGORITHMS
- Appendix - LIST OF EXAMPLES
- Appendix - FILES ON THE SOFTWARE DISKETTE
- BIBLIOGRAPHY
- INDEX