1 option
Matrix analysis and computations / Zhong-Zhi Bai, Jian-Yu Pan.
- Format:
- Book
- Author/Creator:
- Bai, Zhong-Zhi, author.
- Pan, Jian-Yu, author.
- Series:
- Other titles in applied mathematics.
- Other titles in applied mathematics
- Language:
- English
- Subjects (All):
- Matrices.
- Numerical analysis.
- Physical Description:
- 1 online resource (x, 486 pages)
- Place of Publication:
- Philadelphia, Pennsylvania : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) : Mathematical Optimization Society, [2021]
- System Details:
- Mode of access: World Wide Web.
- System requirements: Adobe Acrobat Reader.
- Summary:
- 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.
- 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.
- Notes:
- Includes bibliographical references (pages 457-475) and index.
- Description based on title page of print version.
- ISBN:
- 1-61197-663-4
- OCLC:
- 1250436241
- Publisher Number:
- OT173 SIAM
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.