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An interlacing property of eigenvalues of strictly totally positive matrices

✍ Scribed by Allan Pinkus

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
272 KB
Volume
279
Category
Article
ISSN
0024-3795

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✦ Synopsis

We prove results concerning the interlacing of eigenvalues of principal submatrices of strictly totally positive (STP) matrices.

πŸ“œ SIMILAR VOLUMES

Characterizations of rectangular totally
Characterizations of rectangular totally and strictly totally positive matrices
✍ Rafael CantΓ³; Beatriz Ricarte; Ana M. Urbano πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 177 KB

An n Γ— m real matrix A is said to be totally positive (strictly totally positive) if every minor is nonnegative (positive). In this paper, we study characterizations of these classes of matrices by minors, by their full rank factorization and by their thin QR factorization.