Matrices with positive semidefinite real part

DOI10.1080/03081087.2019.1602588zbMath1461.15034OpenAlexW2936651006MaRDI QIDQ4965673

K. C. Sivakumar, Projesh Nath Choudhury

Publication date: 9 March 2021

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

Full work available at URL: https://doi.org/10.1080/03081087.2019.1602588

zbMATH Keywords

Moore-Penrose inversepartial isometrypositive semidefinite matrixLöwner partial orderpseudo harmonic mean

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Cites Work

• On the matrix monotonicity of generalized inversion
• The reverse order law revisited
• Generalized inverses. Theory and applications.
• A property of the geometric mean of accretive operators
• Pseudo Schur Complements, Pseudo Principal Pivot Transforms and Their Inheritance Properties
• Scalings of vector spaces and the uniqueness of lyapunov scaling factors
• A Note on Matrices with Positive Definite Real Part
• Matrices with Positive Definite Hermitian Part: Inequalities and Linear Systems
• Inequalities for a Complex Matrix Whose Real Part is Positive Definite
• Positive diagonal solutions to the Lyapunov equations
• Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses
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