Sparse algorithms for indefinite system of linear equations

P. Chen; H. Runesha; D. T. Nguyen; P. Tong; T. Y.P. Chang

doi:10.1007/s004660050013

Sparse algorithms for indefinite system of linear equations

P. Chen^*, H. Runesha, D. T. Nguyen, P. Tong, T. Y.P. Chang

^*Corresponding author for this work

Department of Civil and Environmental Engineering

Research output: Contribution to journal › Journal Article › peer-review

11 Citations (Scopus)

Abstract

Sparse LDL^T algorithms, based upon mixed forward-backward factorization strategies, are developed for direct solution of indefinite system of linear equations. A simple rotation matrix is also introduced and incorporated into 2×2 pivoting strategies. Several test problems have been conducted in order to evaluate the numerical performance of the proposed algorithms, and its associated FORTRAN codes.

Original language	English
Pages (from-to)	33-42
Number of pages	10
Journal	Computational Mechanics
Volume	25
Issue number	1
DOIs	https://doi.org/10.1007/s004660050013
Publication status	Published - Feb 2000

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10.1007/s004660050013

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title = "Sparse algorithms for indefinite system of linear equations",

abstract = "Sparse LDLT algorithms, based upon mixed forward-backward factorization strategies, are developed for direct solution of indefinite system of linear equations. A simple rotation matrix is also introduced and incorporated into 2×2 pivoting strategies. Several test problems have been conducted in order to evaluate the numerical performance of the proposed algorithms, and its associated FORTRAN codes.",

author = "P. Chen and H. Runesha and Nguyen, \{D. T.\} and P. Tong and Chang, \{T. Y.P.\}",

year = "2000",

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AU - Chen, P.

AU - Runesha, H.

AU - Nguyen, D. T.

AU - Tong, P.

AU - Chang, T. Y.P.

PY - 2000/2

Y1 - 2000/2

N2 - Sparse LDLT algorithms, based upon mixed forward-backward factorization strategies, are developed for direct solution of indefinite system of linear equations. A simple rotation matrix is also introduced and incorporated into 2×2 pivoting strategies. Several test problems have been conducted in order to evaluate the numerical performance of the proposed algorithms, and its associated FORTRAN codes.

AB - Sparse LDLT algorithms, based upon mixed forward-backward factorization strategies, are developed for direct solution of indefinite system of linear equations. A simple rotation matrix is also introduced and incorporated into 2×2 pivoting strategies. Several test problems have been conducted in order to evaluate the numerical performance of the proposed algorithms, and its associated FORTRAN codes.

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:000086379800004

UR - https://www.scopus.com/pages/publications/0033903019

U2 - 10.1007/s004660050013

DO - 10.1007/s004660050013

M3 - Journal Article

AN - SCOPUS:0033903019

SN - 0178-7675

VL - 25

SP - 33

EP - 42

JO - Computational Mechanics

JF - Computational Mechanics

IS - 1

ER -

Sparse algorithms for indefinite system of linear equations

Abstract

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