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The positive definite completion problem relative to a subspace

โœ Scribed by Charles R. Johnson; Ronald L. Smith

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
111 KB
Volume
307
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

We consider the problem of completing a partial real symmetric matrix so that its quadratic from is positive (semi-)definite on a subspace, presented as the null space of a given matrix. Under the appropriate definition of "partial positive definite" the classical result regarding chordal patterns is extended to this setting. However, unlike the classical setting, there are differences between the positive semi-definite and positive definite completion problems.

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