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Volumn 81, Issue 2, 1998, Pages 293-304

Pivoting strategies leading to diagonal dominance by rows

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EID: 0040581645     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050393     Document Type: Article
Times cited : (11)

References (16)
  • 2
    • 0009961454 scopus 로고
    • A stable method for the LU factorization of M-matrices
    • 1986
    • Ahac, A.A., Olesky, D.D. (1986): A stable method for the LU factorization of M-matrices. SIAM J. Alg. Disc. Math. 7 (1986), 368-378
    • (1986) SIAM J. Alg. Disc. Math. , vol.7 , pp. 368-378
    • Ahac, A.A.1    Olesky, D.D.2
  • 4
    • 0012087402 scopus 로고
    • Backward error analysis for totally positive linear systems
    • de Boor, C., Pinkus, A. (1977): Backward error analysis for totally positive linear systems. Numer. Math. 27, 485-490
    • (1977) Numer. Math. , vol.27 , pp. 485-490
    • De Boor, C.1    Pinkus, A.2
  • 8
    • 0012031747 scopus 로고
    • LU decompositions of generalized diagonally dominant matrices
    • Funderlic, R.E., Neumann, M., Plemmons, R.J. (1982): LU decompositions of generalized diagonally dominant matrices. Numer. Math. 40, 57-69
    • (1982) Numer. Math. , vol.40 , pp. 57-69
    • Funderlic, R.E.1    Neumann, M.2    Plemmons, R.J.3
  • 9
    • 0001075864 scopus 로고
    • The accuracy of solutions to triangular systems
    • Higham, N.J. (1989): The accuracy of solutions to triangular systems. SIAM J. Numer. Anal. 26, 1253-1265
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 1253-1265
    • Higham, N.J.1
  • 11
    • 0039546312 scopus 로고
    • On the schur complement and the LU factorization of a matrix
    • Neumann, M. (1981): On the Schur complement and the LU factorization of a matrix. Linear and Multilinear Algebra 9, 241-254
    • (1981) Linear and Multilinear Algebra , vol.9 , pp. 241-254
    • Neumann, M.1
  • 12
    • 21344440575 scopus 로고    scopus 로고
    • A new pivoting strategy for gaussian elimination
    • Olschowka, M., Neumaier, A. (1996): A new pivoting strategy for Gaussian elimination. Linear Algebra Appl. 240, 131-151
    • (1996) Linear Algebra Appl. , vol.240 , pp. 131-151
    • Olschowka, M.1    Neumaier, A.2
  • 13
    • 0040799576 scopus 로고    scopus 로고
    • Pivoting strategies leading to small bounds of the errors for certain linear systems
    • Peña, J.M. (1996): Pivoting strategies leading to small bounds of the errors for certain linear systems. IMA J. Numer. Anal. 16, 141-153
    • (1996) IMA J. Numer. Anal. , vol.16 , pp. 141-153
    • Peña, J.M.1
  • 14
    • 0018492360 scopus 로고
    • Scaling for numerical stability in Gaussian elimination
    • Skeel, R.D. (1979): Scaling for numerical stability in Gaussian elimination. J. Assoc. Comput. Mach. 26, 494-526
    • (1979) J. Assoc. Comput. Mach. , vol.26 , pp. 494-526
    • Skeel, R.D.1
  • 16
    • 84945709312 scopus 로고
    • Error analysis of direct methods of matrix inversion
    • Wilkinson, J.H. (1961): Error analysis of direct methods of matrix inversion. J. Assoc. Comput. Mach. 8, 281-330
    • (1961) J. Assoc. Comput. Mach. , vol.8 , pp. 281-330
    • Wilkinson, J.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.