Elliptic and hyperbolic quadratic eigenvalue problems and associated distance problems.

DOI10.1016/S0024-3795(03)00489-0zbMath1035.65033MaRDI QIDQ1406280

Paul Van Dooren, Yvan Hachez

Publication date: 9 September 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

algorithmsnumerical exampleselliptic systemhyperbolic systemdistance problemsself-adjoint quadratic eigenvalue problem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (3)

An improved grid method for the computation of the pseudospectra of matrix polynomials ⋮ Algorithms for hyperbolic quadratic eigenvalue problems ⋮ Detecting a hyperbolic quadratic eigenvalue problem by using a subspace algorithm

Cites Work

• Unnamed Item
• Detecting a definite Hermitian pair and a hyperbolic or elliptic quadratic eigenvalue problem, and associated nearness problems
• Positivity and linear matrix inequalities
• The Quadratic Eigenvalue Problem
• Lectures on Modern Convex Optimization
• Overdamped and Gyroscopic Vibrating Systems
• Optimization Problems over Positive Pseudopolynomial Matrices
• Semidefinite Programming

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