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Volumn 21, Issue 6, 2005, Pages 1879-1894

On the inverse problem of constructing symmetric pentadiagonal Toeplitz matrices from their three largest eigenvalues

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA;

EID: 28544445478     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/21/6/005     Document Type: Article
Times cited : (13)

References (18)
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    • (2005) Technical Report
    • Bini, D.1
  • 3
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    • Eigenvalues and eigenvectors of symmetric centrosymmetric matrices
    • Cantoni A and Bulter F 1976 Eigenvalues and eigenvectors of symmetric centrosymmetric matrices Linear Algebra Appl. 13 275-88
    • (1976) Linear Algebra Appl. , vol.13 , Issue.3 , pp. 275-288
    • Cantoni, A.1    Bulter, F.2
  • 6
    • 85095826310 scopus 로고    scopus 로고
    • Structured inverse eigenvalue problems
    • Chu M T and Golub G H 2002 Structured inverse eigenvalue problems Acta Numer. 1-71
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    • Chu, M.T.1    Golub, G.H.2
  • 7
    • 0033569662 scopus 로고    scopus 로고
    • Isospectral flows and the inverse eigenvalue problem for Toeplitz matrices
    • Diele F and Sgura I 1999 Isospectral flows and the inverse eigenvalue problem for Toeplitz matrices J. Comput. Appl. Math. 110 25-43
    • (1999) J. Comput. Appl. Math. , vol.110 , Issue.1 , pp. 25-43
    • Diele, F.1    Sgura, I.2
  • 10
    • 84968488190 scopus 로고
    • The inverse eigenvalue problem for real symmetric Toeplitz matrices
    • Landau H J 1994 The inverse eigenvalue problem for real symmetric Toeplitz matrices J. Am. Math. Soc. 7 749-67
    • (1994) J. Am. Math. Soc. , vol.7 , pp. 749-767
    • Landau, H.J.1
  • 11
    • 0035686563 scopus 로고    scopus 로고
    • Initial values for the inverse Toeplitz eigenvalue problem
    • Laurie D 2000 Initial values for the inverse Toeplitz eigenvalue problem SIAM J. Sci. Comput. 22 2239-55 (electronic)
    • (2000) SIAM J. Sci. Comput. , vol.22 , Issue.6 , pp. 2239-2255
    • Laurie, D.1
  • 12
    • 0035318030 scopus 로고    scopus 로고
    • Extreme eigenvalues of real symmetric Toeplitz matrices
    • Melman A 2001 Extreme eigenvalues of real symmetric Toeplitz matrices Math. Comput. 70 649-69 (electronic)
    • (2001) Math. Comput. , vol.70 , Issue.234 , pp. 649-669
    • Melman, A.1
  • 14
    • 0001904942 scopus 로고
    • The Toeplitz matrices of an arbitrary Laurent polynomial
    • Schmidt P and Spitzer F 1960 The Toeplitz matrices of an arbitrary Laurent polynomial Math. Scand. 8 15-38
    • (1960) Math. Scand. , vol.8 , pp. 15-38
    • Schmidt, P.1    Spitzer, F.2
  • 15
    • 28044469190 scopus 로고
    • A recursive relation for the determinant of a pentadiagonal matrix
    • Sweet R A 1969 A recursive relation for the determinant of a pentadiagonal matrix Commun. ACM 12 330-32
    • (1969) Commun. ACM , vol.12 , Issue.6 , pp. 330-332
    • Sweet, R.A.1
  • 16
    • 0000523384 scopus 로고
    • Numerical solution of the eigenvalue problem for Hermitian Toeplitz matrices
    • Trench W F 1989 Numerical solution of the eigenvalue problem for Hermitian Toeplitz matrices SIAM J. Matrix Anal. Appl. 10 135-46
    • (1989) SIAM J. Matrix Anal. Appl. , vol.10 , Issue.2 , pp. 135-146
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  • 17
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    • Numerical solution of the inverse eigenvalue problem for real symmetric Toeplitz matrices
    • Trench W F 1997 Numerical solution of the inverse eigenvalue problem for real symmetric Toeplitz matrices SIAM J. Sci. Comput. 18 1722-36
    • (1997) SIAM J. Sci. Comput. , vol.18 , Issue.6 , pp. 1722-1736
    • Trench, W.F.1
  • 18
    • 84972533594 scopus 로고
    • On the spectrum of a Toeplitz operator
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    • Widom, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.