Positive Definite Toeplitz Completions | Zendy

Johnson Charles R. | Zendy; Lundquist Michael | Zendy; Nædal Geir | Zendy

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Positive Definite Toeplitz Completions

Author(s) -

Johnson Charles R.,

Lundquist Michael,

Nædal Geir

Publication year - 1999

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/s0024610799007255

Subject(s) - toeplitz matrix , positive definite matrix , mathematics , levinson recursion , characterization (materials science) , conjecture , matrix (chemical analysis) , pure mathematics , combinatorics , algebra over a field , physics , chemistry , eigenvalues and eigenvectors , chromatography , quantum mechanics , optics

The problem of completing a partially prescribed Toeplitz matrix to a positive definite Toeplitz matrix is considered. The main result is a characterization of the patterns of specified entries that guarantee the existence of a positive definite Toeplitz completion of a partial positive definite Toeplitz matrix. This characterization resolves affirmatively a conjecture of C. R. Johnson and L. Rodman.

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