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A note on the construction of a positive oscillatory matrix with a prescribed spectrum

✍ Scribed by O. Rojo; R. Soto; J. Egaña

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
467 KB
Volume
41
Category
Article
ISSN
0898-1221

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✦ Synopsis

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 matrices. In this work, we present a new procedure of constructing such a matrix which is numerically stable and appears to be less expensive.

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