1978•Linear and Multilinear AlgebraRequires access

A note on the partial ordering of positive semi-definite matrices

Robert E. Hartwig

Open publisher page 23 citations

Abstract

The effect of the Moore-Penrose map on the positive semi-definite partial ordering of n×n complex matrices, is contrasted with its effect on the Drazin partial ordering of the same set of matrices.

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What this paper is about

The effect of the Moore-Penrose map on the positive semi-definite partial ordering of n×n complex matrices, is contrasted with its effect on the Drazin partial ordering of the same set of matrices.

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Available abstract

The effect of the Moore-Penrose map on the positive semi-definite partial ordering of n×n complex matrices, is contrasted with its effect on the Drazin partial ordering of the same set of matrices.

Key concepts: Positive-definite matrix, Mathematics, Partially ordered set, Combinatorics, Set (abstract data type), Matrix (chemical analysis), Pure mathematics, Eigenvalues and eigenvectors

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