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On Constructing Unit Triangular Matrices with Prescribed Singular Values

✍ Scribed by Przemysław Kosowski; Alicja Smoktunowicz

Book ID
106202939
Publisher
Springer Vienna
Year
2000
Tongue
English
Weight
129 KB
Volume
64
Category
Article
ISSN
0010-485X

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📜 SIMILAR VOLUMES

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

On singular values of partially prescrib
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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