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# đź“™ Linear Algebra, Rational Approximation and Orthogonal Polynomials by Adhemar Bultheel and Marc Van Barel (Eds.) â€” download pdf

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Evolving from an elementary discussion, this book develops the Euclidean algorithm to a very powerful tool to deal with general continued fractions, non-normal PadĂ© 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.**About book:**

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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 PadĂ© 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: **

**â€˘ provides a unifying approach to linear algebra, rational approximation and orthogonal polynomials**

**â€˘ 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. **

- Series:
**Studies in Computational Mathematics 6** - Author:
**Adhemar Bultheel and Marc Van Barel (Eds.)** - Year:
**1997** - Publisher:
**North Holland** - Language:
**English** - ISBN:
**9780444828729,0444828729**

- File size:
**5 190 209** - Format:
**djvu**

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Evolving from an elementary discussion, this book develops the Euclidean algorithm to a very powerful tool to deal with general continued fractions, non-normal PadĂ© tables, look-ahead algorithms for Hankel and Toeplitz matrices, and for Krylov subspace me...

Evolving from an elementary discussion, this book develops the Euclidean algorithm to a very powerful tool to deal with general continued fractions, non-normal PadĂ© tables, look-ahead algorithms for Hankel and Toeplitz matrices, and for Krylov subspace me...

Evolving from an elementary discussion, this book develops the Euclidean algorithm to a very powerful tool to deal with general continued fractions, non-normal PadĂ© tables, look-ahead algorithms for Hankel and Toeplitz matrices, and for Krylov subspace me...

Evolving from an elementary discussion, this book develops the Euclidean algorithm to a very powerful tool to deal with general continued fractions, non-normal PadĂ© tables, look-ahead algorithms for Hankel and Toeplitz matrices, and for Krylov subspace me...

Special functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the exponential function or polynomials? In the twentieth century the emphasis was on special functions...

Special functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the exponential function or polynomials? In the twentieth century the emphasis was on special functions...

This book contains the proceedings of the Conference on Linear Algebraic Groups and Their Representations, held at UCLA in March 1992. The central theme is the fundamental nature of this subject and its interaction with a wide variety of active areas in m...

This volume contains the Proceedings of the NATO Advanced Study Institute on "Orthogonal Polynomials and Their Applications" held at The Ohio State University in Columbus, Ohio, U.S.A. between May 22,1989 and June 3,1989. The Advanced Study Institute prim...

A Polynomial Approach to Linear Algebra is a text which is heavily biased towards functional methods. In using the shift operator as a central object, it makes linear algebra a perfect introduction to other areas of mathematics, operator theory in particu...