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Structured Matrices and Polynomials

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 292/5 ( reviews)

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Book Synopsis Structured Matrices and Polynomials by : Victor Y. Pan

Download or read book Structured Matrices and Polynomials written by Victor Y. Pan. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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 The book goes beyond research frontiers and, apart from very recent research articles, includes previously unpublished results.

Fast Algorithms for Structured Matrices

2003 Mathematics
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Release : 2003
Genre : Mathematics
Kind : eBook
Book Rating : 771/5 ( reviews)

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Book Synopsis Fast Algorithms for Structured Matrices by : Vadim Olshevsky

Download or read book Fast Algorithms for Structured Matrices written by Vadim Olshevsky. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: One of the best known fast computational algorithms is the fast Fourier transform method. Its efficiency is based mainly on the special structure of the discrete Fourier transform matrix. Recently, many other algorithms of this type were discovered, and the theory of structured matrices emerged. This volume contains 22 survey and research papers devoted to a variety of theoretical and practical aspects of the design of fast algorithms for structured matrices and related issues. Included are several papers containing various affirmative and negative results in this direction. The theory of rational interpolation is one of the excellent sources providing intuition and methods to design fast algorithms. The volume contains several computational and theoretical papers on the topic. There are several papers on new applications of structured matrices, e.g., to the design of fast decoding algorithms, computing state-space realizations, relations to Lie algebras, unconstrained optimization, solving matrix equations, etc. The book is suitable for mathematicians, engineers, and numerical analysts who design, study, and use fast computational algorithms based on the theory of structured matrices.

Numerical Methods for Structured Matrices and Applications

2011-02-09 Mathematics
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Release : 2011-02-09
Genre : Mathematics
Kind : eBook
Book Rating : 966/5 ( reviews)

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Book Synopsis Numerical Methods for Structured Matrices and Applications by : Dario Andrea Bini

Download or read book Numerical Methods for Structured Matrices and Applications written by Dario Andrea Bini. This book was released on 2011-02-09. Available in PDF, EPUB and Kindle. Book excerpt: This cross-disciplinary volume brings together theoretical mathematicians, engineers and numerical analysts and publishes surveys and research articles related to topics such as fast algorithms, in which the late Georg Heinig made outstanding achievements.

Structured Matrices in Mathematics, Computer Science, and Engineering II

2001 Mathematics
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Release : 2001
Genre : Mathematics
Kind : eBook
Book Rating : 923/5 ( reviews)

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Book Synopsis Structured Matrices in Mathematics, Computer Science, and Engineering II by : Vadim Olshevsky

Download or read book Structured Matrices in Mathematics, Computer Science, and Engineering II written by Vadim Olshevsky. This book was released on 2001. Available in PDF, EPUB and Kindle. Book excerpt: "The collection of the contributions to these volumes offers a flavor of the plethora of different approaches to attack structured matrix problems. The reader will find that the theory of structured matrices is positioned to bridge diverse applications in the sciences and engineering, deep mathematical theories, as well as computational and numberical issues. The presentation fully illustrates the fact that the technicques of engineers, mathematicisn, and numerical analysts nicely complement each other, and they all contribute to one unified theory of structured matrices"--Back cover.

Structured Matrices in Mathematics, Computer Science, and Engineering I

2001 Matrices
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Release : 2001
Genre : Matrices
Kind : eBook
Book Rating : 216/5 ( reviews)

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Book Synopsis Structured Matrices in Mathematics, Computer Science, and Engineering I by : Vadim Olshevsky

Download or read book Structured Matrices in Mathematics, Computer Science, and Engineering I written by Vadim Olshevsky. This book was released on 2001. Available in PDF, EPUB and Kindle. Book excerpt: "The collection of the contributions to these volumes offers a flavor of the plethora of different approaches to attack structured matrix problems. The reader will find that the theory of structured matrices is positioned to bridge diverse applications in the sciences and engineering, deep mathematical theories, as well as computational and numberical issues. The presentation fully illustrates the fact that the technicques of engineers, mathematicisn, and numerical analysts nicely complement each other, and they all contribute to one unified theory of structured matrices"--Back cover.

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