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Construction of Matrices with Prescribed Singular Values and Eigenvalues

✍ Scribed by Chi-Kwong Li; Roy Mathias

Book ID
110413090
Publisher
Springer Netherlands
Year
2001
Tongue
English
Weight
169 KB
Volume
41
Category
Article
ISSN
0006-3835

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πŸ“œ SIMILAR VOLUMES

Nonnegative matrices with prescribed ext
Nonnegative matrices with prescribed extremal singular values
✍ Emedin MontaΓ±o; Mario Salas; Ricardo L. Soto πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 295 KB

We consider the problem of constructing nonnegative matrices with prescribed extremal singular values. In particular, given 2n -1 real numbers Οƒ ( j) 1 and Οƒ ( j) j , j = 1, . . . , n, we construct an n Γ— n nonnegative bidiagonal matrix B and an n Γ— n nonnegative semi-bordered diagonal matrix C, suc

On singular values of partially prescrib
On singular values of partially prescribed matrices
✍ Pedro M.Q. Aguiar; Marko StoΕ‘iΔ‡; JoΓ£o Xavier πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 150 KB

In this paper we study singular values of a matrix whose one entry varies while all other entries are prescribed. In particular, we find the possible pth singular value of such a matrix, and we define explicitly the unknown entry such that the completed matrix has the minimal possible pth singular v