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Volumn 5910, Issue , 2005, Pages 1-11

Block Lanczos tridiagonalization of complex symmetric matrices

Author keywords

Block Lanczos algorithm; Complex symmetric matrix; Singular value decomposition (SVD); Takagi factorization

Indexed keywords

BLOCK LANCZOS ALGORITHM; COMPLEX SYMMETRIC MATRIX; SINGULAR VALUE DECOMPOSITION (SVD); TAKAGI FACTORIZATION;

EID: 30644479484     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.615410     Document Type: Conference Paper
Times cited : (13)

References (9)
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    • (1985) Matrix Analysis
    • Horn, R.A.1    Johnson, C.R.2
  • 2
    • 0009303829 scopus 로고
    • On an algebraic problem related to an analytic theorem of Carathédory and Fejér and on an allied theorem of Landau
    • T. Takagi, "On an algebraic problem related to an analytic theorem of Carathédory and Fejér and on an allied theorem of Landau, " Japan J. Math. 1, pp. 82-93, 1924.
    • (1924) Japan J. Math. , vol.1 , pp. 82-93
    • Takagi, T.1
  • 5
    • 67649435022 scopus 로고    scopus 로고
    • A divide-and-conquer method for the Takagi factorization
    • Department of Computing and Software, McMaster University, Hamilton, Ontario, Canada L8S 4K1, February
    • W. Xu and S. Qiao, "A divide-and-conquer method for the Takagi factorization," Tech. Rep. CAS 05-01-SQ, Department of Computing and Software, McMaster University, Hamilton, Ontario, Canada L8S 4K1, February 2005.
    • (2005) Tech. Rep. , vol.CAS 05-01-SQ
    • Xu, W.1    Qiao, S.2
  • 6
    • 15844392745 scopus 로고    scopus 로고
    • Orthogonalization techniques for the Lanczos tridiagonalization of complex symmetric matrices
    • F. T. Luk, ed., SPIE, August
    • S. Qiao, "Orthogonalization techniques for the Lanczos tridiagonalization of complex symmetric matrices," in Advanced Signal Processing Algorithms, Architectures, and Implementations XIV, F. T. Luk, ed., 5559, pp. 423-434, SPIE, August 2004.
    • (2004) Advanced Signal Processing Algorithms, Architectures, and Implementations XIV , vol.5559 , pp. 423-434
    • Qiao, S.1
  • 7
    • 84968519566 scopus 로고
    • The Lanczos algorithm with partial reorthogonalization
    • H. D. Simon, "The Lanczos algorithm with partial reorthogonalization," Mathematics of Computation 42, pp. 115-142, 1984.
    • (1984) Mathematics of Computation , vol.42 , pp. 115-142
    • Simon, H.D.1
  • 8
    • 0003603793 scopus 로고
    • SVDPACKC (version 1.0) user's guide
    • Department of Computer Science, University of Tennessee
    • M. Berry, G. O'Brien, V. Krishna, and S. Varadhan, "SVDPACKC (version 1.0) user's guide," Tech. Rep. CS-93-194, Department of Computer Science, University of Tennessee, 1993.
    • (1993) Tech. Rep. , vol.CS-93-194
    • Berry, M.1    O'Brien, G.2    Krishna, V.3    Varadhan, S.4
  • 9
    • 0001976163 scopus 로고
    • A shifted block Lanczos algorithm for solving sparse symmetric generalized eigenproblems
    • R. Grimes, J. Lewis, and H. Simon, "A shifted block Lanczos algorithm for solving sparse symmetric generalized eigenproblems," SIAM J. matrix Anal. Appl. 15, pp. 228-272, 1994.
    • (1994) SIAM J. Matrix Anal. Appl. , vol.15 , pp. 228-272
    • Grimes, R.1    Lewis, J.2    Simon, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.