Results 221 to 230 of about 475,064 (272)

Ninety years of k-tridiagonal matrices

, 2020
This survey revisits Jenő Egerváry and Otto Szász’s article of 1928 on trigonometric polynomials and simple structured matrices focussing mainly on the latter topic.
C. M. D. Fonseca   +2 more
semanticscholar   +1 more source

Parallel Factorizations for Tridiagonal Matrices

SIAM Journal on Numerical Analysis, 1993
The authors analyze the problem of solving tridiagonal linear systems on parallel computers. A wide class of efficient parallel solvers is derived by considering different parallel factorizations of partitioned matrices. These solvers have a minimum requirement of data transmission.
P. AMODIO, BRUGNANO, LUIGI, T. POLITI
openaire   +3 more sources

Characterizations and accurate computations for tridiagonal Toeplitz matrices

Linear and multilinear algebra, 2021
Tridiagonal Toeplitz P-matrices, M-matrices and totally positive matrices are characterized. For some classes of tridiagonal matrices and tridiagonal Toeplitz matrices, it is shown that many algebraic computations can be performed with high relative ...
J. Delgado, H. Orera, J. Peña
semanticscholar   +1 more source

A bound for tridiagonal matrices [PDF]

open access: possibleSiberian Mathematical Journal, 1990
h bound for the elements ~, I ~ i,] ~ n, of B -I, the inverse of the symmetric tridiagonal matrix B, was obtained in [2] during the course of an investigation of an iterative algorithm [i, 2] for the solution of network analogs of elliptical boundary-value problems (see also the references cited in [2]).
openaire   +1 more source

Tridiagonal M-matrices whose inverse is tridiagonal and related pentadiagonal matrices

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019
A necessary and sufficient condition in order to guarantee that the inverse of a tridiagonal M-matrix is tridiagonal is provided. Pentadiagonal M-matrices whose inverse is pentadiagonal are also analyzed.
Juan Manuel Peña, Alvaro Barreras
openaire   +2 more sources

Positivity of Block Tridiagonal Matrices [PDF]

open access: possibleSIAM Journal on Matrix Analysis and Applications, 1998
This paper relates disconjugacy of linear Hamiltonian difference systems (LHdS) (and hence positive definiteness of certain discrete quadratic functionals) to positive definiteness of some block tridiagonal matrices associated with these systems and functionals.
Ondrej Doslý, Martin Bohner
openaire   +1 more source

On inverses of tridiagonal matrices

Journal of Discrete Mathematical Sciences and Cryptography, 2005
Abstract An algorithm for computing the inverse of a general tridiagonal matrix is introduced. This algorithm is obtained by factoring this matrix into the product of two bidiagonal matrices using Crout’s LU factorization, one upper and one lower bidiagonal.
openaire   +2 more sources

Performance analysis of a pairwise method for partial inversion of complex block tridiagonal matrices

Concurrency and Computation, 2018
The algorithm detailed below extends previous work on inversion of block tridiagonal matrices from the Hermitian/symmetric case to the general case and allows for varying sub‐block sizes.
Louise Spellacy, D. Golden, I. Rungger
semanticscholar   +1 more source

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