On the effective computation of the inertia of a non-hermitian matrix

DOI10.1007/BF01398647zbMath0402.15003MaRDI QIDQ1255541

Biswa Nath Datta, David H. Carlson

Publication date: 1979

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132644

zbMATH Keywords

Computation of Inertia of Nonhermitian Matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items

A pole-assignment algorithm for linear state feedback, Bezout operators for analytic operator functions. I: A general concept of Bezout operator, The matrix equation \(XA=A^ TX\) and an associated algorithm for solving the inertia and stability problems, Generalized Bézoutian and matrix equations, The matrix equation \(XA-BX=R\) and its applications, The Lyapunov matric equation SA+A*S=S*B*BS, Bézoutians of rational matrix functions, matrix equations and factorizations, Stability and inertia, A Semi-Definite Lyapunov Theorem and the Characterization of Tridiagonal D-Stable Matrices, Symmetric factorizations and localization of zeroes of rational matrix functions, Generalized Hankel matrices of Markov parameters and their applications to control problems, Linear and numerical linear algebra in control theory: Some research problems

Cites Work

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• On ranges of Lyapunov transformations
• Inertia theorems for matrices, controllability, and linear vibrations
• Inertia theorems for matrices: the semidefinite case
• A Generalization of a Theorem of Lyapunov
• A Generalization of the Inertia Theorem
• A Note on the Bezoutian Matrix