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A Fast Recursive Algorithm For  (Make Corrections)  
Constructing Matrices With Prescribed Eigenvalues And Singular Values Moody...



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Abstract: The Weyl-Horn theorem characterizes a relationship between the eigenvalues and the singular values of an arbitrary matrix. Based on that characterization, a fast recursive algorithm is developed to construct numerically a matrix with prescribed eigenvalues and singular values. Beside being theoretically interesting, the technique could be employed to create test matrices with desired spectral features. Numerical experiment shows this algorithm is quite efficient and robust. (Update)

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BibTeX entry:   (Update)

@misc{ with-fast,
  author = "Constructing Matrices With",
  title = "A Fast Recursive Algorithm For",
  url = "citeseer.ist.psu.edu/758195.html" }
Citations (may not include all citations):
708   Cambridge University Press (context) - Horn, Johnson et al. - 1991
306   Inequalities: Theory of Majorization and Its Applications (context) - Marshall, Olkin - 1979
9   A note on constructing a symmetric matrix with specified dia.. (context) - Zha, Zhang - 1995
8   Constructing a Hermitian matrix from its diagonal entries an.. (context) - Chu - 1995
8   the eigenvalues of a matrix with prescribed singular values (context) - Horn - 1954
8   Doubly stochastic matrices and the diagonal of a rotation ma.. (context) - Horn - 1956
6   Inequalities between two kinds of eigenvalues of a linear tr.. (context) - Weyl - 1949
5   diagonal elements (context) - Thompson, values - 1977
4   Some results on matrices with prescribed diagonal elements a.. (context) - Sing - 1976
3   On constructing matrices with prescribed singular values and.. (context) - Chu - 1998
3   a and R. C. Thompson, Group majorization, the convex hulls o.. (context) - Mirand - 1994
2   Lectures on Graph Theory (context) - Melnikov, Tyshkevich et al. - 1994
2   Inequalities and existence theorems in the theory of matrice.. (context) - Mirsky - 1964

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On The Low-Rank Approximation Of Data On The Unit Sphere - Chu Del Buono   (Correct)
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