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Volumn 39, Issue 4, 2002, Pages 201-217

Fast and stable solution of banded-plus-semiseparable linear systems

Author keywords

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Indexed keywords

INVERSE PROBLEMS;

EID: 0037002684     PISSN: 00080624     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100920200009     Document Type: Article
Times cited : (5)

References (25)
  • 1
    • 51249188207 scopus 로고
    • Sulla determinazione dell'inversa delle matrici tridiagonali a blocchi
    • Capovani, M.: Sulla determinazione dell'inversa delle matrici tridiagonali a blocchi. Calcolo 7, 295-303 (1970)
    • (1970) Calcolo , vol.7 , pp. 295-303
    • Capovani, M.1
  • 2
    • 51249189657 scopus 로고
    • Su alcune proprietà delle matrici tridiagonali e pentadiagonali
    • Capovani, M.: Su alcune proprietà delle matrici tridiagonali e pentadiagonali. Calcolo 8, 149-159 (1971)
    • (1971) Calcolo , vol.8 , pp. 149-159
    • Capovani, M.1
  • 3
    • 0034394306 scopus 로고    scopus 로고
    • Fast and stable eigendecomposition of symmetric banded plus semi-separable matrices
    • Chandrasekaran, S., Gu, M.: Fast and stable eigendecomposition of symmetric banded plus semi-separable matrices. Linear Algebra Appl. 313, 107-114 (2000)
    • (2000) Linear Algebra Appl. , vol.313 , pp. 107-114
    • Chandrasekaran, S.1    Gu, M.2
  • 4
    • 0013378455 scopus 로고    scopus 로고
    • Fast recursive algorithm for a class of structured matrices
    • Eidelman, Y.: Fast recursive algorithm for a class of structured matrices. Appl. Math. Lett. 13, 57-62 (2000)
    • (2000) Appl. Math. Lett. , vol.13 , pp. 57-62
    • Eidelman, Y.1
  • 5
    • 0031441593 scopus 로고    scopus 로고
    • Fast inversion algorithms for diagonal plus semiseparable matrices
    • Eidelman, Y., Gohberg, I.: Fast inversion algorithms for diagonal plus semiseparable matrices. Integral Equations Operator Theory 27, 165-183 (1997)
    • (1997) Integral Equations Operator Theory , vol.27 , pp. 165-183
    • Eidelman, Y.1    Gohberg, I.2
  • 6
    • 0031071241 scopus 로고    scopus 로고
    • Inversion formulas and linear complexity algorithm for diagonal plus semiseparable matrices
    • Eidelman, Y., Gohberg, I.: Inversion formulas and linear complexity algorithm for diagonal plus semiseparable matrices. Comput. Math. Appl. 33, 69-79 (1997)
    • (1997) Comput. Math. Appl. , vol.33 , pp. 69-79
    • Eidelman, Y.1    Gohberg, I.2
  • 7
    • 0013293393 scopus 로고    scopus 로고
    • A Lanczos-type algorithm for the QR factorization of regular Cauchy matrices
    • Fasino, D., Gemignani, L.: A Lanczos-type algorithm for the QR factorization of regular Cauchy matrices. Numer. Linear Algebra Appl. 9, 305-319 (2002)
    • (2002) Numer. Linear Algebra Appl. , vol.9 , pp. 305-319
    • Fasino, D.1    Gemignani, L.2
  • 8
    • 0142077182 scopus 로고    scopus 로고
    • Structural and computational properties of possibly singular semiseparable matrices
    • Fasino, D., Gemignani, L.: Structural and computational properties of possibly singular semiseparable matrices. Linear Algebra Appl. 340, 183-198 (2002)
    • (2002) Linear Algebra Appl. , vol.340 , pp. 183-198
    • Fasino, D.1    Gemignani, L.2
  • 9
    • 51249174630 scopus 로고
    • Generalized band matrices and their inverses
    • Favati, P., Lotti, G., Romani, F., Rózsa, P.: Generalized band matrices and their inverses. Calcolo 28, 45-92 (1991)
    • (1991) Calcolo , vol.28 , pp. 45-92
    • Favati, P.1    Lotti, G.2    Romani, F.3    Rózsa, P.4
  • 10
    • 0001655572 scopus 로고
    • On the inverse of block tridiagonal matrices with applications to the inverses of band matrices and block band matrices
    • Favati, P., Rózsa, P., Bevilacqua, R., Romani, F.: On the inverse of block tridiagonal matrices with applications to the inverses of band matrices and block band matrices. Oper. Theory Adv. Appl. 40, 447-469 (1989)
    • (1989) Oper. Theory Adv. Appl. , vol.40 , pp. 447-469
    • Favati, P.1    Rózsa, P.2    Bevilacqua, R.3    Romani, F.4
  • 14
    • 0031161231 scopus 로고    scopus 로고
    • Integral equation method for the continuous spectrum radial Schrödinger equation
    • Gonzales, R.A., Eisert, J., Koltracht, I., Neumann, M., Rawitscher, G.: Integral equation method for the continuous spectrum radial Schrödinger equation. J. Comput. Phys. 134, 134-149 (1997)
    • (1997) J. Comput. Phys. , vol.134 , pp. 134-149
    • Gonzales, R.A.1    Eisert, J.2    Koltracht, I.3    Neumann, M.4    Rawitscher, G.5
  • 16
    • 0034224295 scopus 로고    scopus 로고
    • Matrices with banded inverses: Inversion algorithms and factorization of Gauss-Markov processes
    • Kavčić, A., Moura, J.M.F.: Matrices with banded inverses: inversion algorithms and factorization of Gauss-Markov processes. IEEE Trans. Inform. Theory 46, 1495-1509 (2000)
    • (2000) IEEE Trans. Inform. Theory , vol.46 , pp. 1495-1509
    • Kavčić, A.1    Moura, J.M.F.2
  • 17
    • 0031460710 scopus 로고    scopus 로고
    • Linear complexity algorithm for semiseparable matrices
    • Koltracht, I.: Linear complexity algorithm for semiseparable matrices. Integral Equations Operator Theory 29, 313-319 (1997)
    • (1997) Integral Equations Operator Theory , vol.29 , pp. 313-319
    • Koltracht, I.1
  • 18
    • 0035631290 scopus 로고    scopus 로고
    • The inverse of a tridiagonal matrix
    • Mallik, R.K.:The inverse of a tridiagonal matrix. Linear Algebra Appl. 325, 109-139 (2001)
    • (2001) Linear Algebra Appl. , vol.325 , pp. 109-139
    • Mallik, R.K.1
  • 19
    • 0013420838 scopus 로고    scopus 로고
    • Fast and stable reduction of diagonal plus semi-separable matrices to tridiagonal and bidiagonal form
    • Mastronardi, N., Chandrasekaran, S., Van Huffel, S.: Fast and stable reduction of diagonal plus semi-separable matrices to tridiagonal and bidiagonal form. BIT 41, 149-157 (2001)
    • (2001) BIT , vol.41 , pp. 149-157
    • Mastronardi, N.1    Chandrasekaran, S.2    Van Huffel, S.3
  • 20
    • 0035583228 scopus 로고    scopus 로고
    • Fast and stable two-way algorithm for diagonal plus semi-separable systems of linear equations
    • Mastronardi, N., Chandrasekaran, S., Van Huffel, S.: Fast and stable two-way algorithm for diagonal plus semi-separable systems of linear equations. Numer. Linear Algebra Appl. 8, 7-12 (2001)
    • (2001) Numer. Linear Algebra Appl. , vol.8 , pp. 7-12
    • Mastronardi, N.1    Chandrasekaran, S.2    Van Huffel, S.3
  • 21
    • 0033239810 scopus 로고    scopus 로고
    • Decay rates of the inverse of nonsymmetric tridiagonal and band matrices
    • Nabben, R.: Decay rates of the inverse of nonsymmetric tridiagonal and band matrices. SIAM J. Matrix Anal. Appl. 20, 820-837 (1999)
    • (1999) SIAM J. Matrix Anal. Appl. , vol.20 , pp. 820-837
    • Nabben, R.1
  • 24
    • 84966259276 scopus 로고
    • Modifying pivot elements in Gaussian elimination
    • Stewart, G.W.: Modifying pivot elements in Gaussian elimination. Math. Comp. 28, 537-542 (1974)
    • (1974) Math. Comp. , vol.28 , pp. 537-542
    • Stewart, G.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.