Range decompositions and generalized square roots of positive semidefinite matrices

DOI10.1016/0024-3795(91)90296-9zbMath0722.15023OpenAlexW2054604651MaRDI QIDQ755844

Donald A. Pierce

Publication date: 1991

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(91)90296-9

zbMATH Keywords

orthogonal decompositionpositive semidefinite matrixgeneralized square rootsrange decompositionsself-adjoint projections

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48)

Cites Work

• Any Hermitian matrix is a linear combination of four projections
• Convex combinations of projections
• Range Decomposition and Generalized Inverse of Nonnegative Hermitian Matrices
• On sums of projections

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