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Volumn 33, Issue 1, 1996, Pages 87-98

Spectral properties of Toeplitz-plus-Hankel matrices

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS;

EID: 0029692984     PISSN: 00080624     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02575710     Document Type: Article
Times cited : (16)

References (25)
  • 1
    • 0011667587 scopus 로고
    • The spectrum of a family of circulant preconditioned Toeplitz systems
    • R. H. CHAN, The spectrum of a family of circulant preconditioned Toeplitz systems, SIAM J. Numer. Anal. 26, (1989) 503-506.
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 503-506
    • Chan, R.H.1
  • 2
    • 0001702504 scopus 로고
    • Spectral properties of Hankel matrices and numerical solutions of finite moment problems
    • D. FASINO, Spectral properties of Hankel matrices and numerical solutions of finite moment problems, J. Comput. Appl. Math. 65, (1995) 145-155.
    • (1995) J. Comput. Appl. Math. , vol.65 , pp. 145-155
    • Fasino, D.1
  • 3
    • 0011554085 scopus 로고    scopus 로고
    • Numerical schemes in the study of an inverse problem for Laplace's equation
    • CNR, Firenze, (submitted)
    • D. FASINO, G. INGLESE, Numerical schemes in the study of an inverse problem for Laplace's equation, Pubblicazioni IAGA 79, (1996) CNR, Firenze, (submitted).
    • (1996) Pubblicazioni IAGA , vol.79
    • Fasino, D.1    Inglese, G.2
  • 4
    • 84968505008 scopus 로고
    • Fast Gaussian elimination with partial pivoting for matrices with displacement structure
    • I. GOHBERG, T. KAILATH, V. OLSHEVSKY, Fast Gaussian elimination with partial pivoting for matrices with displacement structure, Math. Comp. 64, (1995) 1557-1576.
    • (1995) Math. Comp. , vol.64 , pp. 1557-1576
    • Gohberg, I.1    Kailath, T.2    Olshevsky, V.3
  • 7
    • 0003025142 scopus 로고
    • On the inverses of Toeplitz-plus-Hankel matrices
    • G. HEINIG, K. ROST, On the inverses of Toeplitz-plus-Hankel matrices, Lin. Alg. Appl. 106, (1988) 39-52.
    • (1988) Lin. Alg. Appl. , vol.106 , pp. 39-52
    • Heinig, G.1    Rost, K.2
  • 8
    • 0000927803 scopus 로고
    • Fast inversion of Toeplitz-plus-Hankel matrices
    • G. HEINIG, P. JANKOWSKY, K. ROST, Fast inversion of Toeplitz-plus-Hankel matrices, Numer. Math. 52, (1988) 665-682.
    • (1988) Numer. Math. , vol.52 , pp. 665-682
    • Heinig, G.1    Jankowsky, P.2    Rost, K.3
  • 9
    • 0000699292 scopus 로고
    • Circulant and skewcirculant matrices for solving Toeplitz matrix problems
    • T. HUCKLE, Circulant and skewcirculant matrices for solving Toeplitz matrix problems, SIAM J. Matrix Anal. Appl. 13, (1992) 767-777.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 767-777
    • Huckle, T.1
  • 10
    • 0002499049 scopus 로고
    • Fast transforms for tridiagonal linear equations
    • T. HUCKLE, Fast transforms for tridiagonal linear equations, BIT 34, (1994) 99-112.
    • (1994) BIT , vol.34 , pp. 99-112
    • Huckle, T.1
  • 12
    • 0000665794 scopus 로고
    • Displacement structure: Theory and Applications
    • T. KAILATH, A. H. SAYED, Displacement structure: Theory and Applications, SIAM Rev. 37, (1985) 297-386.
    • (1985) SIAM Rev , vol.37 , pp. 297-386
    • Kailath, T.1    Sayed, A.H.2
  • 13
    • 0027610216 scopus 로고
    • Preconditioned iterative methods for solving Toeplitz-plus-Hankel systems
    • T. KU, C.-C. KUO, Preconditioned iterative methods for solving Toeplitz-plus-Hankel systems, SIAM J. Numer. Anal. 30, (1993) 824-845.
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 824-845
    • Ku, T.1    Kuo, C.-C.2
  • 15
    • 0003205155 scopus 로고
    • An inverse problem in corrosion detection
    • CNR, Firenze (submitted)
    • G. INGLESE, F. SANTOSA, An inverse problem in corrosion detection, Pubblicazioni IAGA 75, (1995) CNR, Firenze (submitted).
    • (1995) Pubblicazioni IAGA , vol.75
    • Inglese, G.1    Santosa, F.2
  • 16
    • 0001362980 scopus 로고
    • On bounded bilinear forms
    • Z. NEHARI, On bounded bilinear forms, Ann. of Math. 65, (1957) 153-162.
    • (1957) Ann. of Math. , vol.65 , pp. 153-162
    • Nehari, Z.1
  • 17
    • 0011660427 scopus 로고
    • On the extreme eigenvalues of truncated Toeplitz matrices
    • S. V. PARTER, On the extreme eigenvalues of truncated Toeplitz matrices, Bull. Amer. Math. Soc. 67, (1961) 191-196.
    • (1961) Bull. Amer. Math. Soc. , vol.67 , pp. 191-196
    • Parter, S.V.1
  • 19
    • 2542631361 scopus 로고    scopus 로고
    • 1 functions with several maxima/minima
    • 1 functions with several maxima/minima, BIT 36, (1996) 135-142.
    • (1996) BIT , vol.36 , pp. 135-142
    • Serra, S.1
  • 20
    • 0011615035 scopus 로고    scopus 로고
    • On the extreme eigenvalues of hermitian (block) Toeplitz matrices
    • preprint, to appear
    • S. SERRA, On the extreme eigenvalues of hermitian (block) Toeplitz matrices, preprint, (1996) to appear in: Lin. Alg. Appl.
    • (1996) Lin. Alg. Appl.
    • Serra, S.1
  • 21
    • 21344486577 scopus 로고
    • How bad are Hankel matrices?
    • E. TYRTYSHNIKOV, How bad are Hankel matrices?, Numer. Math. 67, (1994) 261-269.
    • (1994) Numer. Math. , vol.67 , pp. 261-269
    • Tyrtyshnikov, E.1
  • 22
    • 0039480616 scopus 로고
    • Circulant preconditioned with unbounded inverses
    • E. TYRTYSHNIKOV, Circulant preconditioned with unbounded inverses, Lin. Alg. Appl. 216, (1995) 1-23.
    • (1995) Lin. Alg. Appl. , vol.216 , pp. 1-23
    • Tyrtyshnikov, E.1
  • 23
    • 3042570112 scopus 로고    scopus 로고
    • A unifying approach to some old and new theorems on distribution and clustering
    • E. TYRTYSHNIKOV, A unifying approach to some old and new theorems on distribution and clustering, Lin. Alg. Appl. 232, (1996) 1-43.
    • (1996) Lin. Alg. Appl. , vol.232 , pp. 1-43
    • Tyrtyshnikov, E.1
  • 25
    • 0011615629 scopus 로고
    • Hankel matrices
    • H. WIDOM, Hankel matrices, Proc. AMS 100, (1965) 1-35.
    • (1965) Proc. AMS , vol.100 , pp. 1-35
    • Widom, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.