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Volumn 22, Issue 2, 1996, Pages 227-257

Exploiting Zeros on the Diagonal in the Direct Solution of Indefinite Sparse Symmetric Linear Systems

Author keywords

2 x 2 pivots; Algorithms; Augmented systems; BLAS; G.1.3 Numerical Analysis : Numerical Linear Algebra linear systems (direct methods); Gaussian elimination; Indefinite symmetric matrices; Performance; Sparse; Sparse and very large systems

Indexed keywords

ALGORITHMS; CODES (SYMBOLS); CONSTRAINT THEORY; FORTRAN (PROGRAMMING LANGUAGE); LEAST SQUARES APPROXIMATIONS; LINEAR ALGEBRA; MATRIX ALGEBRA; PARALLEL PROCESSING SYSTEMS; VECTORS;

EID: 0030170479     PISSN: 00983500     EISSN: None     Source Type: Journal    
DOI: 10.1145/229473.229480     Document Type: Article
Times cited : (35)

References (15)
  • 2
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    • BUNCH, J. R. AND PARLETT, B. N. 1971. Direct methods for solving symmetric indefinite systems of linear equations. SIAM J. Numer. Anal. 8, 639-655.
    • (1971) SIAM J. Numer. Anal. 8 , pp. 639-655
    • Bunch, J.R.1    Parlett, B.N.2
  • 4
    • 0023983122 scopus 로고
    • An extended set of Fortran basic linear algebra subprograms
    • DONGARRA, J. J., DU CROZ, J., HAMMARLING, S., AND HANSON, R. J. 1988. An extended set of Fortran basic linear algebra subprograms. ACM Trans. Math. Softw. 14, 1 (Mar.), 1-17. See also the companion algorithm, pages 18-32.
    • (1988) ACM Trans. Math. Softw. 14 , vol.1 , Issue.MAR , pp. 1-17
    • Dongarra, J.J.1    Du Croz, J.2    Hammarling, S.3    Hanson, R.J.4
  • 6
    • 0020822138 scopus 로고
    • The multifrontal solution of indefinite sparse symmetric linear systems
    • DUFF, I. S. AND REID, J. K. 1983. The multifrontal solution of indefinite sparse symmetric linear systems. ACM Trans. Math. Softw. 9, 302-325.
    • (1983) ACM Trans. Math. Softw. 9 , pp. 302-325
    • Duff, I.S.1    Reid, J.K.2
  • 11
    • 0002850880 scopus 로고
    • Electronic mail distribution of linear programming test problems
    • GAY, D. M. 1985. Electronic mail distribution of linear programming test problems. Math. Program. Soc. COAL Newsl.
    • (1985) Math. Program. Soc. COAL Newsl.
    • Gay, D.M.1
  • 14
    • 0001450272 scopus 로고
    • The role of elimination trees in sparse factorization
    • LIU, J. W. H. 1990. The role of elimination trees in sparse factorization. SIAM J. Matrix Anal. Appl. 11, 134-172.
    • (1990) SIAM J. Matrix Anal. Appl. 11 , pp. 134-172
    • Liu, J.W.H.1
  • 15
    • 0000444373 scopus 로고
    • The elimination form of the inverse and its application to linear programming
    • MARKOWITZ, H. M. 1957. The elimination form of the inverse and its application to linear programming. Manage. Sci. 3, 255-269.
    • (1957) Manage. Sci. 3 , pp. 255-269
    • Markowitz, H.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.