An inertia theorem for tridiagonal matrices and a criterion of Wall on continued fractions
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Publication:1212516
DOI10.1016/0024-3795(74)90024-XzbMath0294.15009MaRDI QIDQ1212516
Publication date: 1974
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Continued fractions; complex-analytic aspects (30B70)
Related Items (7)
Unnamed Item ⋮ On real eigenvalues of real tridiagonal matrices ⋮ The Lyapunov matric equation SA+A*S=S*B*BS ⋮ Connectivity Properties of the Set of Stabilizing Static Decentralized Controllers ⋮ Stability and inertia ⋮ Nonsingular solutions of TA-BT=C ⋮ Controllability, inertia, and stability for tridiagonal matrices
Cites Work
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- Ein Verfahren zur Stabilitätsfrage bei Matrizen-Eigenwertproblemen
- Some theorems on the inertia of general matrices
- Inertia theorems for matrices, controllability, and linear vibrations
- Liapunov’s Direct Method and the Number of Zeros with Positive Real Parts of a Polynomial with Constant Complex Coefficients
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