ScholarLens Back to search
1986•SIAM Journal on Algebraic and Discrete MethodsRequires access

$LU$-Decompositions of Tridiagonal Irreducible H -Matrices

William J. Harrod

Open publisher page 4 citations

Abstract

In this paper bounds are developed and investigated on the growth factors and the multipliers resulting from Gaussian elimination applied to an irreducible tridiagonal H-matrix. These results extend the study of the stability of Gaussian elimination without pivoting on certain tridiagonal matrices by Gunzburger and Nicolaides.

About this research paper

What this paper is about

In this paper bounds are developed and investigated on the growth factors and the multipliers resulting from Gaussian elimination applied to an irreducible tridiagonal H-matrix. These results extend the study of the stability of Gaussian elimination without pivoting on certain tridiagonal matrices by Gunzburger and Nicolaides.

Why it matters

OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In this paper bounds are developed and investigated on the growth factors and the multipliers resulting from Gaussian elimination applied to an irreducible tridiagonal H-matrix. These results extend the study of the stability of Gaussian elimination without pivoting on certain tridiagonal matrices by Gunzburger and Nicolaides.

Key concepts: Tridiagonal matrix, Tridiagonal matrix algorithm, Mathematics, Gaussian elimination, Matrix (chemical analysis), Gaussian, Stability (learning theory), Combinatorics

Related papers

Related paper 1Related paper 2
Back to paper searchBrowse research topicsOriginal source
$LU$-Decompositions of Tridiagonal Irreducible H -Matrices — Research Paper | ScholarLens