Generic families of matrix pencils and their bifurcation diagrams

DOI10.1016/S0024-3795(00)00290-1zbMath1049.15006arXiv0710.0949MaRDI QIDQ5946181

Vladimir V. Sergeichuk, Maria Isabel García-Planas

Publication date: 2001

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

Full work available at URL: https://arxiv.org/abs/0710.0949

zbMATH Keywords

Bifurcation diagramsGeneric familyMatrix pencilsMiniversal deformation

Mathematics Subject Classification ID

Matrix pencils (15A22) Deformation of singularities (58K60)

Related Items (2)

Miniversal deformations of matrices of bilinear forms ⋮ Structural stability of matrix pencils and matrix pairs under contragredient equivalence

Cites Work

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• Versal families of matrices with respect to unitary conjugation
• Simplest miniversal deformations of matrices, matrix pencils, and contragredient matrix pencils
• Versal deformations of elements of classical Jordan algebras
• Complex orthogonal and symplectic matrices depending on parameters
• A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part I: Versal Deformations
• Versal deformations of elements of real classical Lie algebras
• ON MATRICES DEPENDING ON PARAMETERS

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