Results 281 to 290 of about 14,368 (309)

Incomplete Factorizations of Matrices and Connections with H-Matrices

SIAM Journal on Numerical Analysis, 1980
There has been much recent interest in the use of incomplete factorizations of matrices, in conjunction with applications of the generalized conjugate gradient method, for approximating solutions of large sparse systems of linear equations. Underlying many of these recent developments is the theory of H-matrices, introduced by A. M. Ostrowski.
Varga, R. S., Saff, E. B., Mehrmann, V.
openaire   +2 more sources

On the LU factorization of Hessenberg matrices

IEEE Transactions on Systems, Man, and Cybernetics, 1989
The LU factorization of the Hessenberg matrix is explicitly presented. The matrix is recognized for reliable and robust numerical computation. >
openaire   +1 more source

A simple method of factorization of S-matrices into jost matrices

1994
As is well known, the Jost function plays an important role in scattering theory, and particulary in the inverse scattering problem. One of the methods of obtaining Jost function F(k) is to solve Riemann-Hilbert problem for the half-plane: $$ {F_ + }\left( k \right) = {S^{ - 1}}\left( k \right)F - \left( k \right),\quad \operatorname{Im} k = 0 ...
O. I. Kisaev, A. F. Krutov, D. I. Muravyev, V. E. Troitsky   +3 more
openaire   +1 more source

Factorable generalized Hausdorff matrices

2010
An ordinary conservative Hausdorff matrix \((*)\) \(\binom n k \Delta^{n-k}\mu_k\) \((0 \leq k \leq n),\) where \(\Delta^0 \mu_k: = \mu_k\), \(\Delta \mu_k:= \mu_k-\mu_{k+1}\), is defined by its moment sequence \(\mu_k = \int^1_0 t^k \,d \chi (t)\). The conservative matrices \(H = (h_{nk} : 0 \leq k \leq n)\) under consideration have the exponent \(k\)
AYDIN AKGÜN, Fatma, RHOADES, BILLY
openaire   +2 more sources

Coprime Factorizations of Multivariate Rational Matrices

Mathematics of Control, Signals, and Systems, 2000
Coprime factorization is a well-known issue in one-dimensional systems theory, having many applications in realization theory, balancing, controller synthesis, etc. Generalization to systems in more than one independent variable is a delicate matter: First of all, several non-equivalent coprimeness notions have to be taken into account. Even worse, the
openaire   +3 more sources

New remarks on the factorization and equivalence problems for a class of multivariate polynomial matrices

Journal of Symbolic Computation, 2023
Dingkang Wang, Fanghui Xiao
exaly  

Incomplete block‐matrix factorization of M‐matrices using two‐step iterative method for matrix inversion and preconditioning

Mathematical Methods in the Applied Sciences, 2021
Suzan Cival Buranay
exaly  

The use of the factorization of five-diagonal matrices by tridiagonal Toeplitz matrices

Applied Mathematics Letters, 1998
Fasma Diele, L Lopez
exaly  

On a Factorization of Pseudo-Orthogonal Matrices

The Quarterly Journal of Mathematics, 1946
openaire   +2 more sources

Decomposition of Data Matrices by Factors

2003
Wolfgang Karl Härdle, Léopold Simar
openaire   +1 more source