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Fast construction of a symmetric nonnegative matrix with a prescribed spectrum

โœ Scribed by O. Rojo; R. Soto; H. Rojo

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
578 KB
Volume
42
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

In

this paper, for a prescribed real spectrum, using properties of the circulant matrices and of the symmetric persymmetric matrices, we derive a fast and stable algorithm to construct a symmetric nonnegative matrix which realizes the spectrum. The algorithm is based on the fast Fourier transform.

๐Ÿ“œ SIMILAR VOLUMES

Existence and construction of nonnegativ
Existence and construction of nonnegative matrices with prescribed spectrum
โœ Ricardo L. Soto ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 139 KB

We consider the following inverse spectrum problem for nonnegative matrices: given a set of real numbers ฯƒ = {ฮป 1 , ฮป 2 , . . . , ฮป n }, find necessary and sufficient conditions for the existence of an n ร— n nonnegative matrix A with spectrum ฯƒ . In particular, by the use of a relevant theorem of Br

A note on the construction of a positive
A note on the construction of a positive oscillatory matrix with a prescribed spectrum
โœ O. Rojo; R. Soto; J. Egaรฑa ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 467 KB

A necessary and sufficient condition for an n-tuple of real numbers (~1, ~2 .... , An) to be the spectrum of an oscillatory matrix is that Some methods of constructing a positive symmetric oscillatory matrix with spectrum a ----{A1, A2, ..., An} are suggested for theorems concerning oscillatory mat