Positive definite Toeplitz completions

Authors
Johnson, CR Lundquist, M Naevdal, G
Citation
Cr. Johnson et al., Positive definite Toeplitz completions, J LOND MATH, 59, 1999, pp. 507-520
Citations number
9
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
ISSN journal
00246107 → ACNP
Volume
59
Year of publication
1999
Part
2
Pages
507 - 520
Database
ISI
SICI code
0024-6107(199904)59:<507:PDTC>2.0.ZU;2-M
Abstract
The problem of completing a partially prescribed Toeplitz matrix to a posit ive definite Toeplitz matrix is considered. The main result is a characteri zation of the patterns of specified entries that guarantee the existence of a positive definite Toeplitz completion of a partial positive definite Toe plitz matrix. This characterization resolves affirmatively a conjecture of C. R. Johnson and L. Rodman.