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Volumn 76, Issue 3, 1997, Pages 309-321

Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods

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EID: 0031485176     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050265     Document Type: Article
Times cited : (106)

References (31)
  • 1
    • 0040176463 scopus 로고
    • On the iterative solution of a system of linear equations
    • Sec. A
    • Aitken, A. C. (1950): On the iterative solution of a system of linear equations. Proceedings of the Royal Society of Edinburgh, Sec. A 63, 52-60
    • (1950) Proceedings of the Royal Society of Edinburgh , vol.63 , pp. 52-60
    • Aitken, A.C.1
  • 5
    • 0017536162 scopus 로고
    • Iterative solution of linear equations on a parallel processor system
    • Conrad, V., Wallach, Y. (1977): Iterative solution of linear equations on a parallel processor system. IEEE Transactions on Computers, C-26, 838-847
    • (1977) IEEE Transactions on Computers , vol.C-26 , pp. 838-847
    • Conrad, V.1    Wallach, Y.2
  • 6
    • 0038105416 scopus 로고
    • Alternating methods for sets of linear equations
    • Conrad, V., Wallach, Y. (1979): Alternating methods for sets of linear equations. Numerische Mathematik, 32, 105-108
    • (1979) Numerische Mathematik , vol.32 , pp. 105-108
    • Conrad, V.1    Wallach, Y.2
  • 7
    • 0001450532 scopus 로고
    • Comparisons of weak regular splittings and multisplitting methods
    • Eisner, L. (1989): Comparisons of weak regular splittings and multisplitting methods. Numerische Mathematik, 56, 283-289
    • (1989) Numerische Mathematik , vol.56 , pp. 283-289
    • Eisner, L.1
  • 8
    • 0031541629 scopus 로고    scopus 로고
    • Projected iterative algorithms with application to multicomponent transport
    • Ern, A., Giovangigli, V. (1997): Projected iterative algorithms with application to multicomponent transport. Linear Algebra and its Applications 250, 289-315
    • (1997) Linear Algebra and Its Applications , vol.250 , pp. 289-315
    • Ern, A.1    Giovangigli, V.2
  • 9
    • 0004236492 scopus 로고
    • The John Hopkins University Press, Baltimore, second edition
    • Golub, G. H., Van Loan, C. F. (1989): Matrix Computations. The John Hopkins University Press, Baltimore, second edition
    • (1989) Matrix Computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 10
    • 21144483536 scopus 로고
    • Finite precision behavior of stationary iteration for solving singular systems
    • Higham, N. J., Knight, P. A. (1993): Finite precision behavior of stationary iteration for solving singular systems. Linear Algebra and its Applications, 192, 165-186
    • (1993) Linear Algebra and Its Applications , vol.192 , pp. 165-186
    • Higham, N.J.1    Knight, P.A.2
  • 13
    • 0001759094 scopus 로고
    • Convergence of nested classical iterative methods for linear systems
    • Lanzkron, P. J., Rose, D. J., Szyld, D. B. (1991): Convergence of nested classical iterative methods for linear systems. Numerische Mathematik, 58, 685-702
    • (1991) Numerische Mathematik , vol.58 , pp. 685-702
    • Lanzkron, P.J.1    Rose, D.J.2    Szyld, D.B.3
  • 14
    • 70350504025 scopus 로고
    • Splitting and alternating direction methods
    • Ciarlet, P. G., Lions, J. L. editors, North Holland, New York
    • Marchuk, G. I. (1990): Splitting and alternating direction methods. In Ciarlet, P. G., Lions, J. L. editors, Handbook of Numerical Analysis, Vol. I., 197-462. North Holland, New York
    • (1990) Handbook of Numerical Analysis , vol.1 , pp. 197-462
    • Marchuk, G.I.1
  • 15
    • 0001731763 scopus 로고
    • Comparison theorems for weak splittings of bounded operators
    • Marek, I., Szyld, D. B. (1990): Comparison theorems for weak splittings of bounded operators. Numerische Mathematik, 58, 387-397
    • (1990) Numerische Mathematik , vol.58 , pp. 387-397
    • Marek, I.1    Szyld, D.B.2
  • 16
    • 84972916822 scopus 로고
    • Splittings of M-operators: Irreducibility and the index of the iteration operator
    • Marek, I., Szyld, D. B. (1990): Splittings of M-operators: Irreducibility and the index of the iteration operator. Numerical Functional Analysis and Optimization, 11, 529-553
    • (1990) Numerical Functional Analysis and Optimization , vol.11 , pp. 529-553
    • Marek, I.1    Szyld, D.B.2
  • 17
    • 0000487513 scopus 로고
    • Convergent nonnegative matrices and iterative methods for consistent linear systems
    • Neumann, M., Plemmons, R. J. (1978): Convergent nonnegative matrices and iterative methods for consistent linear systems. Numerische Mathematik, 31, 265-279
    • (1978) Numerische Mathematik , vol.31 , pp. 265-279
    • Neumann, M.1    Plemmons, R.J.2
  • 18
    • 38249035391 scopus 로고
    • Convergence of parallel multisplitting iterative methods for M-matrices
    • Neumann, M., Plemmons, R. J. (1987): Convergence of parallel multisplitting iterative methods for M-matrices. Linear Algebra and its Applications, 88/89, 559-573
    • (1987) Linear Algebra and Its Applications , vol.88-89 , pp. 559-573
    • Neumann, M.1    Plemmons, R.J.2
  • 21
    • 0003991797 scopus 로고
    • Academic Press, New York. Reprinted by SIAM, Philadelphia, 1990
    • Ortega, J. M. (1972): Numerical Analysis, A Second Course. Academic Press, New York. Reprinted by SIAM, Philadelphia, 1990.
    • (1972) Numerical Analysis, A Second Course
    • Ortega, J.M.1
  • 23
    • 0003148174 scopus 로고
    • Regular splittings and the discrete neumann problem
    • Plemmons, R. J. (1976): Regular splittings and the discrete Neumann problem. Numerische Mathematik, 25, 153-161
    • (1976) Numerische Mathematik , vol.25 , pp. 153-161
    • Plemmons, R.J.1
  • 24
    • 0000994003 scopus 로고
    • Theorems on M-splittings of a singular M-matrix which depend on graph structure
    • Schneider, H. (1984): Theorems on M-splittings of a singular M-matrix which depend on graph structure. Linear Algebra and its Applications, 58, 407-424
    • (1984) Linear Algebra and Its Applications , vol.58 , pp. 407-424
    • Schneider, H.1
  • 26
    • 84985376768 scopus 로고
    • Equivalence of convergence conditions for iterative methods for singular equations
    • Szyld, D. B. (1994): Equivalence of convergence conditions for iterative methods for singular equations. Numerical Linear Algebra with Applications, 1, 151-154
    • (1994) Numerical Linear Algebra with Applications , vol.1 , pp. 151-154
    • Szyld, D.B.1
  • 27
    • 0038087245 scopus 로고
    • Characterization of linear stationary iterative processes for solving a singular system of linear equations
    • Tanabe, K. (1974): Characterization of linear stationary iterative processes for solving a singular system of linear equations. Numerische Mathematik, 22, 349-359
    • (1974) Numerische Mathematik , vol.22 , pp. 349-359
    • Tanabe, K.1
  • 28
    • 0003943048 scopus 로고
    • Prentice-Hall, Englewood Cliffs, New Jersey
    • Varga, R. S. (1962): Matrix Iterative Analysis. Prentice-Hall, Englewood Cliffs, New Jersey
    • (1962) Matrix Iterative Analysis
    • Varga, R.S.1
  • 31
    • 0038763941 scopus 로고
    • On the consistency of linear stationary iterative methods
    • Young, D. M. (1972): On the consistency of linear stationary iterative methods. SIAM Journal on Numerical Analysis, 9, 89-96
    • (1972) SIAM Journal on Numerical Analysis , vol.9 , pp. 89-96
    • Young, D.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.