A NOTE ON SEMIDEFINITE MATRICES

Abstract

It is of general interest to find criteria for a matrix to be positive (or negative)- semidefinite. The usual characterization of semidefinite matrices in terms of their principal minors can be rather laborious to implement practically. An elementary proof of a known alternate characterization of a semidefinite matrix in terms of its null-space and of its largest characteristic value is presented. An iterative procedure is also suggested which may be useful in deciding the semidefiniteness of a matrix.

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Document Details

Document Type
Technical Report
Publication Date
Jul 20, 1961
Accession Number
AD0267584

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  • Edmund Eisenberg

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  • University of California, Berkeley

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  • Mathematics

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  • Linear Algebra
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