Linear algebra, rational approximation,
β Adhemar Bultheel and Marc Van Barel (Eds.)
π Library
π
1997
π Elsevier
π English
β¦ LIBER β¦
π
Linear Algebra, Rational Approximation and Orthogonal Polynomials
β Scribed by Adhemar Bultheel and Marc Van Barel (Eds.)
- Publisher
- North Holland
- Year
- 1997
- Tongue
- English
- Leaves
- 458
- Series
- Studies in Computational Mathematics 6
- Edition
- 1
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
Evolving from an elementary discussion, this book develops the Euclidean algorithm to a very powerful tool to deal with general continued fractions, non-normal PadΓ© tables, look-ahead algorithms for Hankel and Toeplitz matrices, and for Krylov subspace methods. It introduces the basics of fast algorithms for structured problems and shows how they deal with singular situations.
Links are made with more applied subjects such as linear system theory and signal processing, and with more advanced topics and recent results such as general bi-orthogonal polynomials, minimal PadΓ© approximation, polynomial root location problems in the complex plane, very general rational interpolation problems, and the lifting scheme for wavelet transform computation. The text serves as a supplement to existing books on structured linear algebra problems, rational approximation and orthogonal polynomials.
Features of this book:
β’ provides a unifying approach to linear algebra, rational approximation and orthogonal polynomials
β’ requires an elementary knowledge of calculus and linear algebra yet introduces advanced topics.
The book will be of interest to applied mathematicians and engineers and to students and researchers.
β¦ Table of Contents
Content:
Preface
Pages v-x
List of Symbols
Pages xv-xvii
Chapter 1 Euclidean fugues Original Research Article
Pages 1-59
Chapter 2 Linear algebra of Hankels Original Research Article
Pages 61-98
Chapter 3 Lanczos algorithm Original Research Article
Pages 99-133
Chapter 4 Orthogonal polynomials Original Research Article
Pages 135-229
Chapter 5 PadΓ© approximation Original Research Article
Pages 231-270
Chapter 6 Linear systems and partial realization Original Research Article
Pages 271-349
Chapter 7 General rational interpolation Original Research Article
Pages 351-383
Chapter 8 Wavelets and the lifting scheme Original Research Article
Pages 385-411
Bibliography
Pages 413-433
List of algorithms
Page 435
Index
Pages 436-446
π SIMILAR VOLUMES
Linear Algebra, Rational Approximation a
β Bultheel A., van Barel M.
π Library
π
1997
π English
Evolving from an elementary discussion, this book develops the Euclidean algorithm to a very powerful tool to deal with general continued fractions, non-normal PadΓ© tables, look-ahead algorithms for Hankel and Toeplitz matrices, and for Krylov subspace methods. It introduces the basics of fast algor
Linear algebra, rational approximation,
β Adhemar Bultheel and Marc Van Barel (Eds.)
π Library
π
1997
π Elsevier
π English
Linear Algebra, Rational Approximation O
β A. Bultheel, M. Van Barel
π Library
π
1997
π North-Holland Publishing Co
π English
Evolving from an elementary discussion, this book develops the Euclidean algorithm to a very powerful tool to deal with general continued fractions, non-normal PadΓ© tables, look-ahead algorithms for Hankel and Toeplitz matrices, and for Krylov subspace methods. It introduces the basics of fast algor
Orthogonal Polynomials and Linear Functi
β Juan Carlos GarcΓa-Ardila, Francisco MarcellΓ‘n, Misael E. Marriaga
π Library
π
2021
π European Mathematical Society
π English
<span>This book presents an introduction to orthogonal polynomials, with an algebraic flavor, based on linear functionals defining the orthogonality and the Jacobi matrices associated with them. Basic properties of their zeros, as well as quadrature rules, are discussed. A key point is the analysis
Orthogonal Polynomials and Linear Functi
β Juan Carlos GarcΓa-Ardila, Francisco MarcellΓ‘n, Misael E. Marriaga
π Library
π
2021
π European Mathematical Society
π English