Pencils of real symmetric matrices and the numerical range

DOI10.1007/BF01818543zbMath0386.15010OpenAlexW1991856957MaRDI QIDQ1249627

Marvin Marcus

Publication date: 1978

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/136724

Mathematics Subject Classification ID

Quadratic and bilinear forms, inner products (15A63) Canonical forms, reductions, classification (15A21) Exterior algebra, Grassmann algebras (15A75)

Related Items (4)

A biography of Marvin Marcus ⋮ Matrix pencils: Theory, applications, and numerical methods ⋮ Joint matricial range and joint congruence matricial range of operators ⋮ Pencils of complex and real symmetric and skew matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Simultaneous block diagonalization of two real symmetric matrices
• 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 canonical form for a pair of real symmetric matrices that generate a nonsingular pencil
• On the nonsingular symmetric factors of a real matrix
• On the Field of Values of a Matrix
• Linear Systems of Real Quadratic Forms
• A Theorem on a Mapping from a Sphere to the Circle and the Simultaneous Diagonalization of Two Hermitian Matrices
• Pairs of quadratic forms

This page was built for publication: Pencils of real symmetric matrices and the numerical range