Cover of: Structured Matrices and Polynomials | Victor Y. Pan

Structured Matrices and Polynomials

Unified Superfast Algorithms
  • 304 Pages
  • 3.37 MB
  • 1061 Downloads
  • English
by
Birkhäuser Boston
Linear Algebra, Matrices, Polynomials, Mathematics, Computers - Languages / Programming, Science/Mathematics, Programming - Algorithms, Computers / Programming / Algorithms, Linear and Multilinear Algorithms, Mathematics / Algebra / Linear, Mathematics of Computing, Mathematics-Matrices, Numerical Mathematics, Data processing, Algebra - Linear, Finite Mathem
The Physical Object
FormatHardcover
ID Numbers
Open LibraryOL8074743M
ISBN 100817642404
ISBN 139780817642402

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.

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.

Details Structured Matrices and Polynomials EPUB

This book covers most fundamental numerical and algebraic computations with Toeplitz, Hankel, Vandermonde, Cauchy, and other popular structured matrices.

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.

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Cited by: Structured matrices and polynomials: unified superfast algorithms August August Read More. Author: Victor Y.

Pan. Lehman College, CUNY, Bronx, NY. 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. Structured Matrices and Polynomials by Victor Y. Pan,available at Book Depository with free delivery worldwide.

Structured Matrices and Polynomials: Unified Superfast Algorithms Pdf, Download Ebookee Alternative Reliable Tips For A Improve Ebook Reading Experience.

Get this from a library. Structured Matrices and Polynomials: Unified Superfast Algorithms. [Victor Y Pan] -- 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. In this chapter we reveal the correlation among computations with polynomials and structured matrices of Toeplitz and Hankel types (see Figures and ) and show superfast algorithms for these. COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

Structured Matrices and Polynomials: Unified Superfast Algorithms eBook: Pan, Victor Y.: : Kindle StoreAuthor: Victor Y. Pan. 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. Find many great new & used options and get the best deals for Structured Matrices and Polynomials: Unified Superfast Algorithms by Victor Y.

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Pan (, Paperback) at the best online prices at eBay. Free shipping for many products. Multivariate Polynomials, Duality, and Structured Matrices Article in Journal of Complexity 16(1) March with 32 Reads How we measure 'reads'.

Free 2-day shipping. Buy Structured Matrices and Polynomials: Unified Superfast Algorithms (Paperback) at   How to write an ellipse in standard form to find the center, foci and vertices - Duration: Brian McLoganviews.

Topics of the workshop are: Structured matrix analysis including (but not limited to) Toeplitz, Hankel, Vandermonde, banded, semiseparable, Cauchy, Hessenberg, mosaic, block, multilevel matrices and the theoretical and applicative problems from which they are originated (structured problems);; Applications involving structured matrices including (but not limited to) interpolation, integral and.

We give a detailed account of various connections between several classes of objects: Hankel, Hurwitz, Toeplitz, Vandermonde, and other structured matrices, Stietjes- and Jacobi-type continued fractions, Cauchy indices, moment problems, total positivity, and root localization of univariate polynomials.

SIAM Journal on Matrix Analysis and ApplicationsAbstract | PDF ( KB) () An improved Toeplitz algorithm for polynomial matrix null-space by: This book gathers selected contributions presented at the INdAM Meeting Structured Matrices in Numerical Linear Algebra: Analysis, Algorithms and Applications, held in Cortona, Italy on SeptemberHighlights cutting-edge research on Structured Matrix Analysis, it covers theoretical issues, computational aspects, and applications alike.

The first part of this book reviews the main results that have been proposed so far in the literature. As usual with polynomial computations, the polynomial GCD problem can be expressed in matrix form: the second part of the book focuses on this point of view and analyses the structure of the relevant matrices, such as Toeplitz, Toepliz-block.

The book consists of four chapters, covering fundamental computations with polynomials, fundamental computations with general and dense matrices, the bit operation cost of arithmetic computations, and parallel polynomial and matrix computation.

Each chapter is supplemented by. with integer coefficients. Since these matrices can be highly structured, we also exploit possible extra structures for optimizations.

A typical computer today contains multiple cores, which when utilized properly, provides a significant speed up. By combining the above ideas to compute characteristic polynomials, we have developed an Cited by: 1. teristic polynomials of matrices with integer coe cient bivariate polyno-mials.

For each prime, evaluation and interpolation gives us the bridge between polynomial matrices and matrices over a nite eld so that the Hessenberg algorithm can be used. 1 Introduction We are interested in speci c structured matrices obtained from [9] which arise.

A minimal polynomial always exists by the observation opening this subsection. A minimal polynomial is unique by the "with leading coefficient " is because if there are two polynomials and ^ that are both of the minimal degree to make the map or matrix zero (and thus are of equal degree), and both have leading 's, then their difference () − ^ has a smaller degree than either and.

The first part of this book reviews the main results that have been proposed so far in the literature. As usual with polynomial computations, the polynomial GCD problem can be expressed in matrix form: the second part of the book focuses on this point of view and analyses the structure of the relevant matrices, such as Toeplitz, Toepliz-block Brand: Edizioni Della Normale.

the degrees of the input polynomials. The algorithm relies on the displacement structure properties of Sylvester and B´ezout matrices. Its effectiveness is confirmed by numerical experiments. Categories and Subject Descriptors G [Numerical Linear Algebra]: Sparse, structured, and very large systems (direct and iterative methods); I   Characteristic Polynomial of a Matrix Matrices Quick Tip for Rotating and Reflecting - Duration: Mario's Math Tutor views.

Factoring Cubic Polynomials- Algebra 2. In mathematics, a matrix polynomial is a polynomial with square matrices as variables. Given an ordinary, scalar-valued polynomial = ∑ = = + + + ⋯ +,this polynomial evaluated at a matrix A is = ∑ = = + + + ⋯ +,where I is the identity matrix.

A matrix polynomial equation is an equality between two matrix polynomials, which holds for the specific matrices in question. Structured Matrices and Polynomials: Unified Superfast Algorithms, Birkhaeuse/Springer, Boston/New York ().

Polynomial and Matrix Computations, Volume 1: Fundamental Algorithms (XVI + pages) (with D. Bini), in the series Progress in Theoretical Computer Science (R.V. Book editor), Birkhaeuser, Boston (). In mathematics, a polynomial matrix or matrix of polynomials is a matrix whose elements are univariate or multivariate lently, a polynomial matrix is a polynomial whose coefficients are matrices.

A univariate polynomial matrix P of degree p is defined as: = ∑ = = + + + ⋯ + where () denotes a matrix of constant coefficients, and () is non-zero.This book provides a comprehensive treatment of the theory of polynomials in a complex variable with matrix coefficients. Basic matrix theory can be viewed as the study of the special case of polynomials of first degree; the theory developed in Matrix Polynomials is a natural extension of this case to polynomials of higher degree.

It has applications in many areas, such as differential.Polynomials and matrices. Ask Question Asked 2 years, 9 months ago. linear-algebra matrices polynomials matrix-equations matrix-rank.

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