메뉴 건너뛰기




Volumn 41, Issue 1, 1999, Pages 102-112

III-conditioned matrices are componentwise near to singularity

Author keywords

Componentwise distances; Condition number; Ill conditioned; Ill posed; Sign real spectral radius

Indexed keywords


EID: 0003031076     PISSN: 00361445     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036144598323216     Document Type: Article
Times cited : (27)

References (14)
  • 1
    • 0002122998 scopus 로고
    • Optimally scaled matrices
    • F.L. BAUER, Optimally scaled matrices, Numer. Math., 5 (1963), pp. 73-87.
    • (1963) Numer. Math. , vol.5 , pp. 73-87
    • Bauer, F.L.1
  • 2
    • 84981853973 scopus 로고
    • Genauigkeitsfragen bei der Lösung linearer Gleichungssysteme
    • F.L. BAUER, Genauigkeitsfragen bei der Lösung linearer Gleichungssysteme, Z. Angew. Math. Mech., 46 (1966), pp. 409-421.
    • (1966) Z. Angew. Math. Mech. , vol.46 , pp. 409-421
    • Bauer, F.L.1
  • 3
    • 0001790982 scopus 로고
    • The componentwise distance to the nearest singular matrix
    • J. DEMMEL, The componentwise distance to the nearest singular matrix, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 10-19.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 10-19
    • Demmel, J.1
  • 4
    • 0042972476 scopus 로고
    • Cyclic and diagonal products of a matrix
    • G.M. ENGEL AND H. SCHNEIDER, Cyclic and diagonal products of a matrix, Linear Algebra Appl., 7 (1973), pp. 301-335.
    • (1973) Linear Algebra Appl. , vol.7 , pp. 301-335
    • Engel, G.M.1    Schneider, H.2
  • 6
    • 0004151494 scopus 로고
    • Cambridge University Press, Cambridge, UK
    • R.A. HORN AND C. JOHNSON, Matrix Analysis, Cambridge University Press, Cambridge, UK, 1985.
    • (1985) Matrix Analysis
    • Horn, R.A.1    Johnson, C.2
  • 7
  • 8
    • 0012089845 scopus 로고
    • A new condition number for matrices and linear systems
    • J. ROHN, A new condition number for matrices and linear systems, Computing, 41 (1989), pp. 167-169.
    • (1989) Computing , vol.41 , pp. 167-169
    • Rohn, J.1
  • 9
    • 21744440666 scopus 로고    scopus 로고
    • Almost sharp bounds for the componentwise distance to the nearest singular matrix
    • S.M. RUMP, Almost sharp bounds for the componentwise distance to the nearest singular matrix, Linear and Multilinear Algebra, 42 (1997), pp. 93-107.
    • (1997) Linear and Multilinear Algebra , vol.42 , pp. 93-107
    • Rump, S.M.1
  • 10
    • 0031540578 scopus 로고    scopus 로고
    • Bounds for the componentwise distance to the nearest singular matrix
    • S.M. RUMP, Bounds for the componentwise distance to the nearest singular matrix, SIAM J. Matrix Anal. Appl., 18 (1997), pp. 83-103.
    • (1997) SIAM J. Matrix Anal. Appl. , vol.18 , pp. 83-103
    • Rump, S.M.1
  • 11
    • 21944435802 scopus 로고    scopus 로고
    • Theorems of Perron-Frobenius type for matrices without sign restrictions
    • S.M. RUMP, Theorems of Perron-Frobenius type for matrices without sign restrictions, Linear Algebra Appl., 266 (1997), pp. 1-42.
    • (1997) Linear Algebra Appl. , vol.266 , pp. 1-42
    • Rump, S.M.1
  • 12
    • 0042183276 scopus 로고
    • Max-balancing weighted directed graphs and matrix scaling
    • H. SCHNEIDER AND M. SCHNEIDER, Max-balancing weighted directed graphs and matrix scaling, Math. Oper. Res., 16 (1991), pp. 209-222.
    • (1991) Math. Oper. Res. , vol.16 , pp. 209-222
    • Schneider, H.1    Schneider, M.2
  • 13
    • 0018492360 scopus 로고
    • Scaling for numerical stability in gaussian elimination
    • R. SKEEL, Scaling for numerical stability in gaussian elimination, J. Assoc. Comput. Mach., 26 (1979), pp. 494-526.
    • (1979) J. Assoc. Comput. Mach. , vol.26 , pp. 494-526
    • Skeel, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.