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Structured Matrices and Polynomials

Name: Structured Matrices and Polynomials
Brand: Springer, Basel
SKU: 9780817642402
Price: 52.77 EUR
Availability: InStock

Unified Superfast Algorithms

Автор: Victor Y. Pan

Език:

Корици: С твърди корици

Издател: Springer, Basel

Наличност: Външен склад

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52.77 € 103.22 лв

Structured matrices serve as a natural bridge between the areas of §algebraic computations with poly...

Информация за книгата

Автор

Victor Y. Pan

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2001

страници

278

EAN

9780817642402

ISBN

0817642404

Enbook ID

01399317

Издател

Springer, Basel

Теглоt

612

Размери

155 x 235 x 19

Пълно описание

Structured matrices serve as a natural bridge between the areas of §algebraic computations with polynomials and numerical matrix §computations, allowing cross-fertilization of both fields. This book §covers most fundamental numerical and algebraic computations with §Toeplitz, Hankel, Vandermonde, Cauchy, and other popular structured §matrices. Throughout the computations, the matrices are represented by §their compressed images, called displacements, enabling both a unified §treatment of various matrix structures and dramatic saving of computer §time and memory. The resulting superfast algorithms allow further §dramatic parallel acceleration using FFT and fast sine and cosine §transforms. § Included are specific applications to other fields, in §particular, superfast solutions to: various fundamental problems of §computer algebra; the tangential Nevanlinna--Pick and matrix Nehari §problems § The primary intended readership for this work includes §researchers, algorithm designers, and advanced graduate students in §the fields of computations with structured matrices, computer algebra, §and numerical rational interpolation. The book goes beyond research §frontiers and, apart from very recent research articles, includes yet §unpublished results. § To serve a wider audience, the presentation unfolds §systematically and is written in a user-friendly engaging style. Only §some preliminary knowledge of the fundamentals of linear algebra is §required. This 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. Examples, §tables, figures, exercises, extensive bibliography, and index lend §this text to classroom use or self-study.

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Structured Matrices and Polynomials

Unified Superfast Algorithms

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