Inertia theorem for general matrix equations

DOI10.1016/0022-247X(75)90170-5zbMath0351.15010OpenAlexW2057521724MaRDI QIDQ1235233

Chi-Tsong Chen

Publication date: 1975

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(75)90170-5

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items

Stability and inertia ⋮ Generalized controllability and inertia theory ⋮ Controllability and inertia theory for functions of a matrix ⋮ Unnamed Item ⋮ An estimate for the number of eigenvalues of a Hilbert-Schmidt operator in a half-plane

Cites Work

• Some theorems on the inertia of general matrices
• Matrix equations and the separation of matrix eigenvalues
• A Generalization of a Theorem of Lyapunov
• A Generalization of the Inertia Theorem
• ALGEBRAIC CHARACTERIZATION OF POLYNOMIALS WHOSE ZEROS LIE IN CERTAIN ALGEBRAIC DOMAINS