Positive extension and completion problems for a class of structured matrices

A class of matrices, defined by a displacement rank property, is introduced. Completion and extension problems are studied for matrices in this class, under certain positivity constraints. The extension problem is reduced to a standard interpolation problem for Schur matrix valued functions.

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Bibliographic Details
Published inLinear & multilinear algebra Vol. 48; no. 3; pp. 189 - 235
Main Authors Bolotnikov, V., Rodman, L.
Format Journal Article
LanguageEnglish
Published Gordon and Breach Science Publishers 01.03.2001
Subjects
AMS Subject Classification: 15A45, 15A48
Generalized Toeplitz
Positive completions
Positive extensions
Schur interpolation problem
Structured matrices
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ISSN0308-1087
1563-5139
DOI10.1080/03081080108818669

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Summary:A class of matrices, defined by a displacement rank property, is introduced. Completion and extension problems are studied for matrices in this class, under certain positivity constraints. The extension problem is reduced to a standard interpolation problem for Schur matrix valued functions.
ISSN:0308-1087
1563-5139
DOI:10.1080/03081080108818669