메뉴 건너뛰기




Volumn 31, Issue 2, 2009, Pages 503-525

A rank-revealing method with updating, Downdating, and applications. Part II

Author keywords

Downdating; Image processing; Information retrieval; Latent semantic indexing; Matrix; Range; Rank; Rank revealing; Singular value; Updating

Indexed keywords

ALTERNATIVE METHODS; COMPUTING TIME; DOWNDATING; LATENT SEMANTIC INDEXING; LOW-RANK MATRICES; MATRIX COMPUTATION; NUMERICAL RESULTS; RANK-REVEALING; SCIENTIFIC COMPUTING; SINGULAR VALUES;

EID: 72449148650     PISSN: 08954798     EISSN: 10957162     Source Type: Journal    
DOI: 10.1137/07068179X     Document Type: Article
Times cited : (14)

References (38)
  • 2
    • 0029546874 scopus 로고
    • Using linear algebra for intelligent information retrieval
    • M. W. BERRY, S. T. DUMAIS, and G. W. O'BRIEN, Using linear algebra for intelligent information retrieval, SIAM Rev., 37 (1995), pp. 573-595.
    • (1995) SIAM Rev. , vol.37 , pp. 573-595
    • Berry, M.W.1    Dumais, S.T.2    O'Brien, G.W.3
  • 4
    • 21344449496 scopus 로고    scopus 로고
    • Low-rank orthogonal decompositions for information retrieval applications
    • M. W. BERRY AND R. D. FIERRO, Low-rank orthogonal decompositions for information retrieval applications, Numer. Linear Algebra Appl., 3 (1996), pp. 301-328.
    • (1996) Numer. Linear Algebra Appl. , vol.3 , pp. 301-328
    • Berry, M.W.1    Fierro, R.D.2
  • 5
    • 0032083879 scopus 로고    scopus 로고
    • Algorithm 782: Codes for Rank-Revealing QR Factorizations of Dense Matrices
    • C. H. BISCHOF AND G. QUINTANA-ORTI, Algorithm 782: Codes for rank-revealing QR factorizations of dense matrices, ACM Trans. Math. Software, 24 (1998), pp. 254-257. (Pubitemid 128444734)
    • (1998) ACM Transactions on Mathematical Software , vol.24 , Issue.2 , pp. 254-257
    • Bischof, C.H.1    Quintana-Orti, G.2
  • 7
    • 0002170151 scopus 로고
    • Rank revealing QR factorizations
    • T. R. CHAN, Rank revealing QR factorizations, Linear Algebra Appl., 88/89 (1987), pp. 67-82.
    • (1987) Linear Algebra Appl. , vol.88-89 , pp. 67-82
    • Chan, T.R.1
  • 14
    • 21844498172 scopus 로고
    • Bounding the subspaces from rank revealing two-sided orthogonal decompositions
    • R. D. FIERRO AND J. R. BUNCH, Bounding the subspaces from rank revealing two-sided orthogonal decompositions, SIAM J. Matrix Anal. Appl., 16 (1995), pp. 743-759.
    • (1995) SIAM J. Matrix Anal. Appl. , vol.16 , pp. 743-759
    • Fierro, R.D.1    Bunch, J.R.2
  • 15
    • 0005617538 scopus 로고    scopus 로고
    • Low-rank revealing UTV decompositions
    • R. D. FIERRO AND P. C. HANSEN, Low-rank revealing UTV decompositions, Numer. Algorithms, 15 (1997), pp. 37-55.
    • (1997) Numer. Algorithms , vol.15 , pp. 37-55
    • Fierro, R.D.1    Hansen, P.C.2
  • 16
    • 0033423414 scopus 로고    scopus 로고
    • UTV tools: MATLAB templates for rank-revealing UTV decompositions
    • R. D. FIERRO, P. C. HANSEN, AND P. S. K. HANSEN, UTV tools: MATLAB templates for rank-revealing UTV decompositions, Numer. Algorithms, 20 (1999), pp. 165-194.
    • (1999) Numer. Algorithms , vol.20 , pp. 165-194
    • Fierro, R.D.1    Hansen, P.C.2    Hansen, P.S.K.3
  • 18
    • 0003683914 scopus 로고
    • Rank degeneracy and least squares problems
    • University of Maryland, Baltimore, MD
    • G. H. GOLUB, V. KLEMA, AND G. W. STEWART, Rank Degeneracy and Least Squares Problems, Technical report TR 456, University of Maryland, Baltimore, MD, 1976.
    • (1976) Technical Report TR 456
    • Golub, G.H.1    Klema, V.2    Stewart, G.W.3
  • 19
    • 0004236492 scopus 로고    scopus 로고
    • 3rd ed., Johns Hopkins University Press, Baltimore, MD
    • G. H. GOLUB AND C. F. VAN LOAN, Matrix Computations, 3rd ed., Johns Hopkins University Press, Baltimore, MD, 1996.
    • (1996) Matrix Computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 24
    • 27144448140 scopus 로고    scopus 로고
    • A rank-revealing method with updating, downdating, and applications
    • T. Y. LI AND Z. ZENG, A rank-revealing method with updating, downdating, and applications, SIAM J. Matrix Anal. Appl., 26 (2005), pp. 918-946.
    • (2005) SIAM J. Matrix Anal. Appl. , vol.26 , pp. 918-946
    • Li, T.Y.1    Zeng, Z.2
  • 26
    • 0038396136 scopus 로고    scopus 로고
    • Strong rank revealing LU factorization
    • L. MIRANIAN AND M. GU, Strong rank revealing LU factorization, Linear Algebra Appl., 367 (2003), pp. 1-16.
    • (2003) Linear Algebra Appl. , vol.367 , pp. 1-16
    • Miranian, L.1    Gu, M.2
  • 27
    • 0002824680 scopus 로고
    • Symmetric gauge functions and unitarily invariant norms
    • L. MIRSKY, Symmetric gauge functions and unitarily invariant norms, Q. J. Math., 11 (1960), pp. 50-59.
    • (1960) Q. J. Math. , vol.11 , pp. 50-59
    • Mirsky, L.1
  • 29
    • 0034392123 scopus 로고    scopus 로고
    • On the existence and computation of rank-revealing LU factorizatAons
    • C. T. PAN, On the existence and computation of rank-revealing LU factorizatAons, Linear Algebra Appl., 316 (2000), pp. 199-222.
    • (2000) Linear Algebra Appl. , vol.316 , pp. 199-222
    • Pan, C.T.1
  • 30
    • 21844500329 scopus 로고
    • Downdating the rank-revealing URV decomposition
    • H. PARK AND L. ELDÉN, Downdating the rank-revealing URV decomposition,SIAM J. Matrix Anal. Appl., 16 (1995), pp. 138-155.
    • (1995) SIAM J. Matrix Anal. Appl. , vol.16 , pp. 138-155
    • Park, H.1    Eldén, L.2
  • 32
    • 0026882267 scopus 로고
    • An updating algorithm for subspace tracking
    • G.W. STEWART, An updating algorithm for subspace tracking, IEEE Trans. Signal Process., 40 (1992), pp. 1535-1541.
    • (1992) IEEE Trans. Signal Process. , vol.40 , pp. 1535-1541
    • Stewart, G.W.1
  • 33
    • 0040130684 scopus 로고
    • Updating a rank-revealing ULV decomposition
    • G. W. STEWART, Updating a rank-revealing ULV decomposition, SIAM J. Matrix Anal. Appl., 14 (1993), pp. 494-499.
    • (1993) SIAM J. Matrix Anal. Appl. , vol.14 , pp. 494-499
    • Stewart, G.W.1
  • 34
    • 0345867910 scopus 로고
    • UTV decompositions, in Numerical Analysis 1993
    • D. F. Griffith and G. A. Watson, eds., Longman, Harlow, UK
    • G. W. STEWART, UTV decompositions, in Numerical Analysis 1993, Pitman Res. Notes Math. Ser. 303, D. F. Griffith and G. A. Watson, eds., Longman, Harlow, UK, 1994, pp. 225-236.
    • (1994) Pitman Res. Notes Math. Ser. , vol.303 , pp. 225-236
    • Stewart, G.W.1
  • 37
    • 14944343328 scopus 로고    scopus 로고
    • Computing multiple roots of inexact polynomials
    • Z. ZENG, Computing multiple roots of inexact polynomials, Math. Comp., 74 (2005), pp. 869-903.
    • (2005) Math. Comp. , vol.74 , pp. 869-903
    • Zeng, Z.1
  • 38
    • 0033296577 scopus 로고    scopus 로고
    • On updating problems in latent semantic indexing
    • H. ZHA AND H. D. SIMON, On updating problems in latent semantic indexing,SIAMJ. Sci. Comput., 21 (1999), pp. 782-791.
    • (1999) SIAMJ. Sci. Comput. , vol.21 , pp. 782-791
    • Zha, H.1    Simon, H.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.