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Iterative Solution Methods
Theory of Matrix Eigenvalues
monograph
Author(s):
Owe Axelsson
Publication date
(Online):
2009
Publisher:
Cambridge University Press
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There is no author summary for this book yet. Authors can add summaries to their books on ScienceOpen to make them more accessible to a non-specialist audience.
Related collections
Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory
Author and book information
Book Chapter
Pages
: 46-83
DOI:
10.1017/CBO9780511624100.003
SO-VID:
866d61bc-5dbd-4268-b8aa-40ab102732f9
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Book chapters
pp. xi
Preface
pp. 1
Direct Solution Methods
pp. 46
Theory of Matrix Eigenvalues
pp. 84
Positive Definite Matrices, Schur Complements, and Generalized Eigenvalue Problems
pp. 122
Reducible and Irreducible Matrices and the Perron-Frobenius Theory for Nonnegative Matrices
pp. 158
Basic Iterative Methods and Their Rates of Convergence
pp. 200
M-Matrices, Convergent Splittings, and the SOR Method
pp. 252
Incomplete Factorization Preconditioning Methods
pp. 314
Approximate Matrix Inverses and Corresponding Preconditioning Methods
pp. 372
Block Diagonal and Schur Complement Preconditionings
pp. 402
Estimates of Eigenvalues and Condition Numbers for Preconditioned Matrices
pp. 449
Conjugate Gradient and Lanczos-Type Methods
pp. 504
Generalized Conjugate Gradient Methods
pp. 558
The Rate of Convergence of the Conjugate Gradient Method
pp. 595
Matrix Norms, Inherent Errors, and Computation of Eigenvalues
pp. 639
Chebyshev Polynomials
pp. 642
Some Inequalities for Functions of Matrices
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