Structured matrices and polynomials : unified superfast algorithms
著者
書誌事項
Structured matrices and polynomials : unified superfast algorithms
Birkhäuser , Springer, c2001
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注記
Includes bibliographical references (p. [243]-270) and index
内容説明・目次
内容説明
This user-friendly, engaging textbook makes the material accessible to graduate students and new researchers who wish to study the rapidly exploding area of computations with structured matrices and polynomials. The book goes beyond research frontiers and, apart from very recent research articles, includes previously unpublished results.
目次
Preface * Glossary of Mathematical Notation * 1. Computations with Structured Matrices: Introduction * 2. Toeplitz/Hankel Matrix Structure and Polynomial Computations * 3. Matrix Structures of Vandermonde and Cauchy Types and Polynomial and Rational Computations * 4. Structured Matrices and Displacement Operators * 5. Unified Superfast Divide-and-Conquer Algorithms for Structured Matrices * 6. Newton-Structured Numerical Iteration * 7. Newton Algebraic Iteration and Newton-Structured Algebraic Iteration * Conclusion * Bibliography * Index
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