A structured rank-revealing method for Sylvester matrix
نویسندگان
چکیده
منابع مشابه
A Structured Rank - Revealing Method for Sylvester Matrix 1 )
We propose a displacement structure based rank-revealing algorithm for Sylvester matrix, then apply it to compute approximate greatest common division of two univariate polynomials with floating-point coefficients. This structured rank-revealing method is based on a stabilized version of the generalized Schur algorithm [8], and is a fast rank-revealing method in the sense that, all computations...
متن کاملStructured Low Rank Approximation of a Sylvester Matrix
The task of determining the approximate greatest common divisor (GCD) of univariate polynomials with inexact coefficients can be formulated as computing for a given Sylvester matrix a new Sylvester matrix of lower rank whose entries are near the corresponding entries of that input matrix. We solve the approximate GCD problem by a new method based on structured total least norm (STLN) algorithms...
متن کاملABS METHOD FOR SOLVING FUZZY SYLVESTER MATRIX EQUATION
The main aim of this paper intends to discuss the solution of fuzzy Sylvester matrix equation
متن کاملFast Low Rank Approximation of a Sylvester Matrix by Structured Total Least Norm
The problem of approximating the greatest common divisor(GCD) for polynomials with inexact coefficients can be formulated as a low rank approximation problem with a Sylvester matrix. In this paper, we present an algorithm based on fast Structured Total Least Norm(STLN) for constructing a Sylvester matrix of given lower rank and obtaining the nearest perturbed polynomials with exact GCD of given...
متن کاملA Symmetric Rank - Revealing Toeplitz Matrix
In signal and image processing, regularization often requires a rank-revealing decomposition of a symmetric Toeplitz matrix with a small rank deeciency. In this paper, we present an eecient factorization method that exploits symmetry as well as the rank and Toeplitz properties of the given matrix.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2008
ISSN: 0377-0427
DOI: 10.1016/j.cam.2007.01.032