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Structured Inverse Eigenvalue Problems (2002)  (Make Corrections)  (13 citations)
Moody T. Chu, Gene H. Golub



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Abstract: this paper. More should be said about these constraints in order to de ne an IEP. First we recall one condition under which two geometric entities intersect transversally. Loosely speaking, we may assume that the structural constraint and the spectral constraint de ne, respectively, smooth manifolds in the space of matrices of a xed size. If the sum of the dimensions of these two manifolds exceeds the dimension of the ambient space, then under some mild conditions one can argue that the two ... (Update)

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2.5:   Some Developments On Parameterized Inverse Eigenvalue Problems - Dai (1998)   (Correct)
1.3:   A Numerical Method for the Inverse Stochastic Spectrum Problem - Chu, Guo   (Correct)
1.0:   On Computing Minimal Realizable Spectral Radii of Nonnegative.. - Chu, Xu (2004)   (Correct)

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BibTeX entry:   (Update)

M. Chu and G. Golub, Structured Inverse Eigenvalue Problems, Acta Numerica, 11 (2002), 1--71. http://citeseer.ist.psu.edu/article/chu02structured.html   More

@misc{ chu02structured,
  author = "M. Chu and G. Golub",
  title = "Structured Inverse Eigenvalue Problems",
  text = "M. Chu and G. Golub, Structured Inverse Eigenvalue Problems, Acta Numerica,
    11 (2002), 1--71.",
  year = "2002",
  url = "citeseer.ist.psu.edu/article/chu02structured.html" }
Citations (may not include all citations):
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39   Unitary integrators and applications to continuous orthonorm.. (context) - Dieci, Russel et al. - 1994
31   The formulation and analysis of numerical methods for invers.. (context) - Friedland, Nocedal et al. - 1987
27   A survey of matrix inverse eigenvalue problems (context) - Boley, Golub - 1987
22   Eigenvalues and eigenvectors of symmetric centrosymmetric ma.. (context) - Cantoni, Bulter - 1976
19   The singular value decomposition for polynomial system - Corless, Gianni et al. - 1995
18   On best conditioned matrices (context) - Forsythe, Straus - 1955
15   Orthogonality and partial pole assignment for the symmetric .. - Datta, Elhay et al. - 1997
14   The spectra of nonnegative matrices via symbolic dynamics (context) - Boyle, Handelman - 1991
12   Constructing a unitary Hessenberg matrix from spectral data - Ammar, Gragg et al. - 1988
12   Inverse eigenvalue problems (context) - Friedland - 1977
9   Inverse eigenvalue problems (context) - Chu - 1999
9   Constructing symmetric nonnegative matrices with prescribed .. - Chu, Driessel - 1991
8   Numerical methods for inverse singular value problems (context) - Chu - 1992
8   The numerically stable reconstruction of a Jacobi matrix fro.. (context) - de Boor, Golub - 1978
8   an inverse problem for nonnegative and eventually nonnegativ.. (context) - Friedland - 1978
8   Constructing a Hermitian matrix from its diagonal entries an.. (context) - Chu, di and et al. - 1995
6   Some inverse characteristic value problems (context) - Downing, Householder - 1956
6   Computation of Gauss{Kronrod quadrature rules - Calvetti, Golub et al. - 2000
4   Numerical computation of an analytic singular value decompos.. (context) - Bunse-Gerstner, Byers et al. - 1991
4   Signal enhancement and the SVD (context) - Cadzow, Wilkes - 1990
4   Numerical solution of isospectral ows (context) - Calvo, Iserles et al. - 1997
4   Pole placement by output feedback (context) - Byrnes - 1989
4   Eigenvalues of nonnegative symmetric matrices (context) - Fiedler - 1974
4   the eigenvalues of nonnegative Jacobi matrices (context) - Friedland, Melkman - 1979
4   an inverse eigenvalue problem for unitary Hessenberg matrice.. - Ammar, He - 1995
4   Construction of band matrices from spectral data (context) - Biegler-K - 1981
4   Possible spectra of totally positive matrices (context) - Barrett, Johnson - 1984
3   Four quadratically convergent methods for solving inverse ei.. (context) - Friedland, Nocedal et al. - 1985
3   An Introduction to Inverse Scattering and Inverse Spectral P.. (context) - Chadan, Colton et al. - 1997
3   Matrices with prescribed o -diagonal elements (context) - Friedland - 1972
3   A numerical method for the inverse stochastic spectrum probl.. - Chu, Guo - 1998
3   A fast recursive algorithm for constructing matrices with pr.. (context) - Chu - 2000
3   The construction of Jacobi and periodic Jacobi matrices with.. (context) - Ferguson - 1980
2   On some structured inverse eigenvalue problems - Erra, Philippe - 1997
2   About an inverse eigenvalue problem arising in vibration ana.. (context) - Dai - 1995
1   A modi ed method for reconstructing periodic Jacobi matrices (context) - Boley, Golub - 1984
1   the multiplicity of solutions of the inverse problems for a .. (context) - Barcilon - 1979
1   A two-dimensional inverse eigenvalue problem (context) - Barcilon - 1990
1   Limit matrices for the Toda ow and periodic ags for loop gro.. (context) - Adler, Haine et al. - 1993
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1   Construction of acyclic matrices from spectral data (context) - Duarte - 1989
1   the solution of inverse eigenvalue problems with high orders (context) - Barcilon - 1974
1   the reconstruction of a damped vibrating system from two com.. (context) - Foltete, Gladwell et al. - 2001
1   Sucient conditions for the solubility of inverse eigenvalue .. (context) - Biegler-K - 1981
1   the uniqueness of inverse eigenvalue problems (context) - Barcilon - 1974
1   Some recent developments in inverse eigenvalue problems (context) - Andrew - 1994
1   the inverse eigenvalue problem for matrices (context) - Deakin, Luke - 1992
1   Continued fractions and periodic Jacobi matrices (context) - Andrea, Berry - 1992
1   Spectral properties of nite Toeplitz matrices (context) - Delsarte, Genin - 1984
1   Matrices with prescribed entries and characteristic polynomi.. (context) - da - 1974



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