The Jordan canonical form of a product of a Hermitian and a positive semidefinite matrix

DOI10.1016/0024-3795(91)90239-SzbMath0712.15007MaRDI QIDQ923660

Roger A. Horn, Yoo-Pyo Hong

Publication date: 1991

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

zbMATH Keywords

Jordan canonical formHermitian matrixpositive semidefinite matrix

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21)

Related Items (8)

Stable current sharing and voltage balancing in DC microgrids: a consensus-based secondary control layer ⋮ Stability analysis of DC microgrids with constant power load under distributed control methods ⋮ Trace inequalities in nonextensive statistical mechanics ⋮ The equality of the Siler cones \(K_3\) and \(K_4\), the general case ⋮ Reflexivity defect of kernels of the elementary operators of length 2 ⋮ A Hermitian canonical form for complex matrices under consimilarity ⋮ Products of orthoprojectors and Hermitian matrices ⋮ Products of orthoprojectors and a theorem of Crimmins

Cites Work

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• A canonical form for matrices under consimilarity
• Products of positive semidefinite matrices
• Characterizations of products of symmetric matrices
• The inertia of a product of two hermitian matrices
• The optimal projection equations for model reduction and the relationships among the methods of Wilson, Skelton, and Moore

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