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Volumn 421, Issue 2-3 SPEC. ISS., 2007, Pages 243-251

Lanczos tridiagonalization and core problems

Author keywords

Core problem; Golub Kahan bidiagonalization; Jacobi matrix; Lanczos tridiagonalization; Linear approximation problem; Orthogonal transformation

Indexed keywords

APPROXIMATION THEORY; LINEAR SYSTEMS; MATHEMATICAL TRANSFORMATIONS; PROBLEM SOLVING;

EID: 33846245155     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2006.05.006     Document Type: Article
Times cited : (17)

References (13)
  • 1
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    • Paige C.C., and Strakoš Z. Scaled total least squares fundamentals. Numer. Math. 91 (2002) 117-146
    • (2002) Numer. Math. , vol.91 , pp. 117-146
    • Paige, C.C.1    Strakoš, Z.2
  • 2
    • 2942694426 scopus 로고    scopus 로고
    • Unifying least squares, total least squares and data least squares
    • van Huffel S., and Lemmerling P. (Eds), Kluwer Academic Publishers, Dordrecht
    • Paige C.C., and Strakoš Z. Unifying least squares, total least squares and data least squares. In: van Huffel S., and Lemmerling P. (Eds). Total Least Squares and Errors-in-Variables Modeling (2002), Kluwer Academic Publishers, Dordrecht 25-34
    • (2002) Total Least Squares and Errors-in-Variables Modeling , pp. 25-34
    • Paige, C.C.1    Strakoš, Z.2
  • 3
    • 33746132377 scopus 로고    scopus 로고
    • Core problems in linear algebraic systems
    • Paige C.C., and Strakoš Z. Core problems in linear algebraic systems. SIAM J. Matrix Anal. Appl. 27 (2006) 861-875
    • (2006) SIAM J. Matrix Anal. Appl. , vol.27 , pp. 861-875
    • Paige, C.C.1    Strakoš, Z.2
  • 5
    • 0000288016 scopus 로고
    • Calculating the singular values and pseudo-inverse of a matrix
    • Golub G.H., and Kahan W. Calculating the singular values and pseudo-inverse of a matrix. SIAM J. Numer. Anal. Ser. B 2 (1965) 205-224
    • (1965) SIAM J. Numer. Anal. Ser. B , vol.2 , pp. 205-224
    • Golub, G.H.1    Kahan, W.2
  • 6
    • 0016036395 scopus 로고
    • Bidiagonalization of matrices and solution of linear equations
    • Paige C.C. Bidiagonalization of matrices and solution of linear equations. SIAM J. Numer. Anal. 11 (1974) 197-209
    • (1974) SIAM J. Numer. Anal. , vol.11 , pp. 197-209
    • Paige, C.C.1
  • 7
    • 0000094594 scopus 로고
    • An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
    • Lanczos C. An iteration method for the solution of the eigenvalue problem of linear differential and integral operators. J. Res. Nat. Bur. Standards 45 (1950) 255-282
    • (1950) J. Res. Nat. Bur. Standards , vol.45 , pp. 255-282
    • Lanczos, C.1
  • 9
    • 0001644662 scopus 로고
    • A bidiagonalization algorithm for solving large and sparse ill-posed systems of linear equations
    • Björck A. A bidiagonalization algorithm for solving large and sparse ill-posed systems of linear equations. BIT 28 (1988) 659-670
    • (1988) BIT , vol.28 , pp. 659-670
    • Björck, A.1
  • 10
    • 0001765884 scopus 로고
    • An implicit shift bidiagonalization algorithm for ill-posed systems
    • Björck A., Grimme E., and Van Dooren P. An implicit shift bidiagonalization algorithm for ill-posed systems. BIT 34 (1994) 510-534
    • (1994) BIT , vol.34 , pp. 510-534
    • Björck, A.1    Grimme, E.2    Van Dooren, P.3
  • 11
    • 0000924088 scopus 로고    scopus 로고
    • Estimation of the L-curve via Lanczos bidiagonalization
    • Calvetti D., Golub G.H., and Reichel L. Estimation of the L-curve via Lanczos bidiagonalization. BIT 39 (1999) 603-619
    • (1999) BIT , vol.39 , pp. 603-619
    • Calvetti, D.1    Golub, G.H.2    Reichel, L.3
  • 12
    • 0039943513 scopus 로고
    • LSQR: An algorithm for sparse linear equations and sparse least squares
    • Paige C.C., and Saunders M.A. LSQR: An algorithm for sparse linear equations and sparse least squares. ACM Trans. Math. Software 8 (1982) 43-71
    • (1982) ACM Trans. Math. Software , vol.8 , pp. 43-71
    • Paige, C.C.1    Saunders, M.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.