Details

Subject(s)

• Matrices [Browse]
• Numerical analysis [Browse]

Author

• Pan, Jian-Yu [Browse]

Publisher

• Society for Industrial and Applied Mathematics [Browse]

Series

Other titles in applied mathematics. [More in this series]

Restrictions note

Restricted to subscribers or individual electronic text purchasers.

Summary note

This comprehensive book is presented in two parts; the first part introduces the basics of matrix analysis necessary for matrix computations, and the second part presents representative methods and the corresponding theories in matrix computations. Among the key features of the book are the extensive exercises at the end of each chapter. Matrix Analysis and Computations provides readers with: the matrix theory necessary for matrix computations, especially for direct and iterative methods for solving systems of linear equations, systematic methods and rigorous theory on matrix splitting iteration methods and Krylov subspace iteration methods, and current results on preconditioning and iterative methods for solving standard and generalized saddle-point linear systems. Matrix Analysis and Computations can be used as a textbook for graduate students as well as a self-study tool and reference for researchers and engineers interested in matrix analysis and matrix computations. It is appropriate for courses in numerical analysis, numerical optimization, data science, and approximation theory, among other topics.

Bibliographic references

Includes bibliographical references (pages 457-475) and index.

System details

• Mode of access: World Wide Web.
• System requirements: Adobe Acrobat Reader.

Source of description

Description based on title page of print version.

Contents

• 1. Basic concepts and properties
• 2. Matrix decompositions
• 3. Numerical range
• 4. Nonnegative matrices and M-matrices
• 5. Matrix splitting iteration methods
• 6. Krylov subspace methods
• 7. Preconditioning
• 8. Saddle-point problems
• Appendix A. Software for matrix computations.

Show 6 more Contents items

Other format(s)

Also available in print version.

ISBN

1-61197-663-4

Publisher no.

OT173

LCCN

2021011457

OCLC

1250436241

Doi

• 10.1137/1.9781611976632

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