Linear combinations of Hermitian and real symmetric matrices

DOI10.1016/0024-3795(79)90009-0zbMath0418.15020OpenAlexW2044938082MaRDI QIDQ5895376

K. N. Majindar

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0024-3795(79)90009-0

zbMATH Keywords

quadratic and hermitian forms

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Quadratic and bilinear forms, inner products (15A63)

Cites Work

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• The number of vectors jointly annihilated by two real quadratic forms determines the inertia of matrices in the associated pencil
• On the maximal number of linearly independent real vectors annihilated simultaneously by two real quadratic forms
• Definite and semidefinite matrices in a real symmetric matrix pencil
• A simple proof of the convexity of the field of values defined by two Hermitian forms
• Linear Systems of Real Quadratic Forms
• Some Theorems on the Real Pencil and Simultaneous Diagonalization of Two Hermitian Bilinear Functions
• A Theorem on a Mapping from a Sphere to the Circle and the Simultaneous Diagonalization of Two Hermitian Matrices
• On Simultaneous Hermitian Congruence Transformations of Matrices
• Pairs of quadratic forms

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