On the Nearest Singular Matrix Pencil

DOI10.1137/16M1079026zbMath1371.15015MaRDI QIDQ5348228

Christian Lubich, Volker Mehrmann, Nicola Guglielmi

Publication date: 14 August 2017

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

differential-algebraic equationsingular matrix pencilmatrix differential equationregular matrix pencillow-rank perturbation

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Linear ordinary differential equations and systems (34A30) Matrix pencils (15A22)

Related Items

Computation of the nearest structured matrix triplet with common null space, Computation of the nearest non-prime polynomial matrix: structured low-rank approximation approach, Parameter-Dependent Rank-One Perturbations of Singular Hermitian Or Symmetric Pencils, Nearest rank deficient matrix polynomials, Constrained Graph Partitioning via Matrix Differential Equations, The gap distance to the set of singular matrix pencils, Measuring the stability of spectral clustering, An efficient method for non-negative low-rank completion, A note on an upper and a lower bound on sines between eigenspaces for regular Hermitian matrix pairs, Distance problems for dissipative Hamiltonian systems and related matrix polynomials, Computing lower rank approximations of matrix polynomials, Computing the closest real normal matrix and normal completion, A gradient system for low rank matrix completion, Structured Backward Errors for Eigenvalues of Linear Port-Hamiltonian Descriptor Systems, Estimation of Structured Distances to Singularity for Matrix Pencils with Symmetry Structures: A Linear Algebra--Based Approach, Recovering a perturbation of a matrix polynomial from a perturbation of its first companion linearization

Uses Software

• RODAS
• ARPACK
• PSAPSR

Cites Work

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