Generating and detecting matrices with positive principal minors

Authors:
Michael J. Tsatsomeros
Affiliations:
Department of Mathematics, Washington State University, Pullman, Washington
Venue:
Focus on computational neurobiology
Year:
2004

Citing 5
Cited 0

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Abstract

A brief but concise review of methods to generate P-matrices (i.e., matrices having positive principal minors) is provided and motivated by open problems on P-matrices and the desire to develop and test efficient methods for the detection of P-matrices. Also discussed are operations that leave the class of P-matrices invariant. Some new results and extensions of results regarding P-matrices are included.