메뉴 건너뛰기




Volumn 6, Issue 2, 1999, Pages 93-107

Convergence and Comparison Theorems for Multisplittings

Author keywords

Comparison conditions; Linear system; Nonnegative (multi)splitting; Positive definite (multi)splitting

Indexed keywords


EID: 0033454160     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1506(199903)6:2<93::AID-NLA149>3.0.CO;2-8     Document Type: Article
Times cited : (21)

References (23)
  • 4
    • 0032364135 scopus 로고    scopus 로고
    • Some comparison theorems for weak nonnegative splittings of bounded operators
    • J.-J. Climent and C. Perea. Some comparison theorems for weak nonnegative splittings of bounded operators. Linear Algebra and its Applications, 275/276: 77-106 (1998).
    • (1998) Linear Algebra and Its Applications , vol.275-276 , pp. 77-106
    • Climent, J.-J.1    Perea, C.2
  • 5
    • 0001952563 scopus 로고
    • Comparisons of regular splittings of matrices
    • G. Csordas and R. Varga. Comparisons of regular splittings of matrices. Numerische Mathematik, 44: 23-35 (1984).
    • (1984) Numerische Mathematik , vol.44 , pp. 23-35
    • Csordas, G.1    Varga, R.2
  • 7
    • 0001450532 scopus 로고
    • Comparisons of weak regular splittings and multisplitting methods
    • L. Elsner. Comparisons of weak regular splittings and multisplitting methods. Numerische Mathematik, 56: 283-289 (1989).
    • (1989) Numerische Mathematik , vol.56 , pp. 283-289
    • Elsner, L.1
  • 8
    • 0000735411 scopus 로고
    • Convergence of relaxed parallel multisplittings methods
    • A. Frommer and G. Mayer. Convergence of relaxed parallel multisplittings methods. Linear Algebra and its Applications, 119: 141-152 (1989).
    • (1989) Linear Algebra and Its Applications , vol.119 , pp. 141-152
    • Frommer, A.1    Mayer, G.2
  • 10
    • 0001759094 scopus 로고
    • Convergence of nested classical iterative methods for linear systems
    • P. J. Lanzkron, D. J. Rose, and D. B. Szyld. Convergence of nested classical iterative methods for linear systems. Numerische Mathematik, 58: 685-702 (1991).
    • (1991) Numerische Mathematik , vol.58 , pp. 685-702
    • Lanzkron, P.J.1    Rose, D.J.2    Szyld, D.B.3
  • 11
    • 0001731763 scopus 로고
    • Comparison theorems for weak splittings of bounded operators
    • I. Marek and D. B. Szyld. Comparison theorems for weak splittings of bounded operators. Numerische Mathematik, 58: 389-397 (1990).
    • (1990) Numerische Mathematik , vol.58 , pp. 389-397
    • Marek, I.1    Szyld, D.B.2
  • 12
    • 0001558902 scopus 로고
    • A note on comparison theorems for nonnegative matrices
    • V. A. Miller and M. Neumann. A note on comparison theorems for nonnegative matrices. Numerische Mathematik, 47: 427-434 (1985).
    • (1985) Numerische Mathematik , vol.47 , pp. 427-434
    • Miller, V.A.1    Neumann, M.2
  • 13
    • 0041046216 scopus 로고    scopus 로고
    • A note on comparison theorems for splittings and multisplittings of Hermitian positive definite matrices
    • R. Nabben. A note on comparison theorems for splittings and multisplittings of Hermitian positive definite matrices. Linear Algebra and its Applications, 233: 67-80 (1996).
    • (1996) Linear Algebra and Its Applications , vol.233 , pp. 67-80
    • Nabben, R.1
  • 14
    • 38249035391 scopus 로고
    • Convergence of parallel multisplitting iterative methods for M-matrices
    • M. Neumann and R. J. Plemmons. Convergence of parallel multisplitting iterative methods for M-matrices. Linear Algebra and its Applications, 88/89: 559-573 (1987).
    • (1987) Linear Algebra and Its Applications , vol.88-89 , pp. 559-573
    • Neumann, M.1    Plemmons, R.J.2
  • 16
    • 0003991797 scopus 로고
    • Academic Press, New York, NY, Reprinted by SIAM. Philadelphia, PA
    • J. M. Ortega. Numerical Analysis. A Second Course. Academic Press, New York, NY, 1972. Reprinted by SIAM. Philadelphia, PA, 1992.
    • (1972) Numerical Analysis. A Second Course
    • Ortega, J.M.1
  • 17
    • 0003148174 scopus 로고
    • Splittings and the Discrete Neumann Problem
    • R. J. Plemmons. Splittings and the Discrete Neumann Problem. Numerische Mathematik, 25: 153-161 (1976).
    • (1976) Numerische Mathematik , vol.25 , pp. 153-161
    • Plemmons, R.J.1
  • 18
    • 0000808807 scopus 로고
    • Comparisons of nonnegative splittings of matrices
    • Y Song. Comparisons of nonnegative splittings of matrices. Linear Algebra and its Applications, 154/156: 433-455 (1991).
    • (1991) Linear Algebra and Its Applications , vol.154-156 , pp. 433-455
    • Song, Y.1
  • 19
    • 21144475990 scopus 로고
    • Some comparison theorems for nonnegative splittings of matrices
    • Y Song. Some comparison theorems for nonnegative splittings of matrices. Numerische Mathematik, 65: 245-252 (1993).
    • (1993) Numerische Mathematik , vol.65 , pp. 245-252
    • Song, Y.1
  • 20
    • 0003943048 scopus 로고
    • Prentice-Hall International, Englewood Cliffs, New Jersey
    • R. S. Varga. Matrix Iterative Analysis. Prentice-Hall International, Englewood Cliffs, New Jersey, 1962.
    • (1962) Matrix Iterative Analysis
    • Varga, R.S.1
  • 21
    • 0001345523 scopus 로고
    • On the convergence of the parallel multisplittings AOR algorithm
    • D. Wang. On the convergence of the parallel multisplittings AOR algorithm. Linear Algebra and its Applications, 154-156: 473-486 (1991).
    • (1991) Linear Algebra and Its Applications , vol.154-156 , pp. 473-486
    • Wang, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.