Fast algorithms for structured matrices

Fast algorithms for structured matrices by AMS-IMS-SIAM Joint Summer Research Conference on Fast Algorithms in Mathematics, Computer Science, and Engineering (2001 Mount Holyoke College) Download PDF EPUB FB2

Structured Matrices and Polynomials: Unified Superfast Algorithms st Edition by Victor Y. Pan (Author) ISBN ISBN Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book.

Cited by: Structured Matrices and Polynomials: Unified Superfast Algorithms - Kindle edition by Pan, Victor Y. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Structured Matrices and Polynomials: Manufacturer: Springer.

This book is the first to pay special attention to the combined issues of speed and numerical reliability in algorithm development. These two requirements have often been regarded as competitive, so much so that the design of fast and numerically reliable algorithms for large-scale structured systems of linear equations, in many cases, remains a significant open issue.

Fast Reliable Algorithms for Matrices with Structure helps bridge this gap by providing the reader with recent contributions written by leading experts in the field. The authors deal with both the theory and the practice of fast numerical algorithms for large-scale structured linear systems.

Semiseparable matrices and many other rank-structured matrices have been widely used in developing new fast matrix algorithms. In this paper, we generalize the hierarchically semiseparable (HSS) matrix representations and propose some fast algorithms for HSS matrices.

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Structured Matrices and Polynomials: Unified Superfast Algorithms Pdf, Download Ebookee Alternative Reliable Tips For A Improve Ebook Reading Experience. The primary focus is on fast algorithms (many of linear complexity) for matrices in semiseparable, quasiseparable, band and companion form.

The work examines algorithms of multiplication, inversion and description of eigenstructure and includes a wealth of illustrative. The authors present a family of new fast algorithms for QR factorization of certain structured matrices, including rectangular Toeplitz matrices and a variety of other Toepitz-like : Richard P.

Brent. Since superfast algorithms do not have time to read all Θ(N 2) elements of dense matrices, matrices that admit superfast multiplication algorithms must be structured in the sense of being.

Randomization of matrix computations has become a hot research area in the big data era. Sampling with randomly generated matrices has enabled fast algorithms to perform well for some most fundamental problems of numerical algebra with probability close to 1.

The dissertation develops a set of algorithms with random and structured matrices for the following applications: 1) We prove that using Author: Liang Zhao. product of the inverse of a Pascal matrix and a vector, and fast algorithms for generalized Pascal Matrices.

Key -vector product, Pascal matrices, matrix decomposition, structured matri-ces, Toeplitz matrices, Hankel matrices, Vandermonde matrices Introduction. If we arrange the binomial coefficients Cn r = r.

n!(r −n). Chapter Fast Algorithms for Structured Matrix Computations. Michael Stewart. Georgia State University. A structured matrix is an m × n matrix with elements that can be determined from substantially fewer than mn parameters.

This is a broad definition that includes sparse matrices, matrices with displacement structure, matrices with rank structure, and numerous types of matrices with. 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.

In computer science, the time complexity is the computational complexity that describes the amount of time it takes to run an complexity is commonly estimated by counting the number of elementary operations performed by the algorithm, supposing that each elementary operation takes a fixed amount of time to perform.

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. Language: english ISBN. Fast Algorithms for Structured Matrices and Laurent Polynomials David J.

Miller, Ph.D. University of Connecticut, ABSTRACT The Vandermonde matrix and Cauchy matrix are classical and are encountered in poly-nomial and rational interpolation computation respectively.

The structure of these matrices lead to fast inversion algorithms and Author: David Miller. Fast Algorithms for Structured Matrices 作者: Ams-Ims-Siam Joint Summer Research Conference on Fast Algorithms in ma/ Olshevsky, Vadim (EDT)/ Olshevsky, Vadim 出版社: Amer Mathematical Society 页数: 定价: 元 装帧: Pap ISBN: Such invariant rank structures were exploited therein to design fast QR iteration algorithms for finding eigenvalues of companion matrices.

These algorithms require only O(n) storage and run in O(n 2) time where n is the dimensiosn of the matrix. In this paper, we propose a new O(n 2) complexity QR algorithm for real companion matrices by Cited by:.

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 : Birkhäuser Basel.This recursion is a square-root version of fast RLS algorithms discussed in the literature (Carayannis, Manolakis and Kalouptsidis, ; Cioffi and Kailath, ).

We note that the rotation may be implemented in a variety of ways such as: elementary rotations, Householder transformations, square-root and/or division-free rotations, by: 9.Structured Matrices and Polynomials: Unified Superfast Algorithms Kindle Edition by Victor Y. Pan (Author) Format: Kindle Edition.

See all 3 formats and editions Hide other formats and editions. Amazon Price New from Used from Author: Victor Y. Pan.