The number of vectors jointly annihilated by two real quadratic forms determines the inertia of matrices in the associated pencil
From MaRDI portal
Publication:1211091
DOI10.2140/pjm.1973.49.537zbMath0291.15011OpenAlexW2047835526MaRDI QIDQ1211091
Publication date: 1973
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.1973.49.537
Quadratic and bilinear forms, inner products (15A63) Canonical forms, reductions, classification (15A21)
Related Items
Computing the inertias in symmetric matrix pencils, Linear combinations of Hermitian and real symmetric matrices, Matrix pencils: Theory, applications, and numerical methods, A canonical form for a pair of real symmetric matrices that generate a nonsingular pencil, Pencils of real symmetric matrices and the numerical range, A recurring theorem about pairs of quadratic forms and extensions: A survey, Inaugural conference of the international linear algebra society, 12-15 August 1989, Brigham Young University, Provo, Utah, USA, Pencils of complex and real symmetric and skew matrices