Some polynomial and Toeplitz matrix computations

1987 ◽  
Author(s):  
Victor Pan ◽  
John Reif
Keyword(s):  
Toeplitz Matrix ◽  
Matrix Computations

Parallel Matrix Computations.

1986 ◽  
Author(s):  
G. W. Stewart ◽  
Dianne P. O'Leary
Keyword(s):  
Matrix Computations

Large Sparse Stable Matrix Computations

1990 ◽  
Author(s):  
Alex Pothen ◽  
Jesse L. Barlow
Keyword(s):  
Matrix Computations ◽  
Stable Matrix

scholarly journals Toeplitz nonnegative realization of spectra via companion matrices

2019 ◽  
Vol 7 (1) ◽  
pp. 230-245
Author(s):  
Macarena Collao ◽  
Mario Salas ◽  
Ricardo L. Soto
Keyword(s):  
Eigenvalue Problem ◽  
Half Plane ◽  
Toeplitz Matrix ◽  
Toeplitz Matrices ◽  
Nonnegative Matrix ◽  
Inverse Eigenvalue Problem ◽  
Complex Numbers ◽  
Inverse Eigenvalue ◽  
Companion Matrices ◽  
Solution Matrix

Abstract The nonnegative inverse eigenvalue problem (NIEP) is the problem of finding conditions for the existence of an n × n entrywise nonnegative matrix A with prescribed spectrum Λ = {λ1, . . ., λn}. If the problem has a solution, we say that Λ is realizable and that A is a realizing matrix. In this paper we consider the NIEP for a Toeplitz realizing matrix A, and as far as we know, this is the first work which addresses the Toeplitz nonnegative realization of spectra. We show that nonnegative companion matrices are similar to nonnegative Toeplitz ones. We note that, as a consequence, a realizable list Λ= {λ1, . . ., λn} of complex numbers in the left-half plane, that is, with Re λi≤ 0, i = 2, . . ., n, is in particular realizable by a Toeplitz matrix. Moreover, we show how to construct symmetric nonnegative block Toeplitz matrices with prescribed spectrum and we explore the universal realizability of lists, which are realizable by this kind of matrices. We also propose a Matlab Toeplitz routine to compute a Toeplitz solution matrix.

A Real-Valued Toeplitz Matrix Method for DOA Estimation

2020 ◽  
Vol 43 (4) ◽  
pp. 350-356
Author(s):  
Jianxiong Li ◽  
Deming Li ◽  
Xianguo Li
Keyword(s):  
Toeplitz Matrix ◽  
Matrix Method ◽  
Doa Estimation

Matrix Computations

2005 ◽  
Author(s):  
John H. Maindonald ◽  
Gordon K. Smyth
Keyword(s):  
Matrix Computations
Sign in / Sign up

Export Citation Format

Share Document