An algorithm for computing the spectral structure of a singular linear matrix pencil

DOI10.1007/BF01305211zbMath0685.65029MaRDI QIDQ1262080

V. N. Kublanovskaya

Publication date: 1987

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

decompositionseparationKronecker canonical formsingular valueorthogonal factorizationssingular pencilrange-null space

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Cites Work

• The computation of Kronecker's canonical form of a singular pencil
• Analysis of singular matrix pencils
• Computing the CS decomposition of a partitioned orthonormal matrix
• Kronecker's canonical form and the QZ algorithm
• Construction of a canonic basis for matrices and pencils of matrices
• RGSVD—AN Algorithm for Computing the Kronecker Structure and Reducing Subspaces of Singular $A - \lambda B$ Pencils
• The generalized eigenstructure problem in linear system theory
• Towards a Generalized Singular Value Decomposition
• Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
• The Rotation of Eigenvectors by a Perturbation. III
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