Miniversal deformations of pairs of symmetric matrices under congruence
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Publication:2418966
DOI10.1016/j.laa.2018.05.034zbMath1414.15014arXiv1104.2530OpenAlexW2409104358WikidataQ129377923 ScholiaQ129377923MaRDI QIDQ2418966
Publication date: 29 May 2019
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1104.2530
perturbationcodimensionversal deformationcongruence canonical formsymmetric matrix pencilsymmetric matrix pair
Quadratic and bilinear forms, inner products (15A63) Canonical forms, reductions, classification (15A21)
Related Items (4)
Generic symmetric matrix pencils with bounded rank ⋮ Generic Eigenstructures of Hermitian Pencils ⋮ Perturbation theory of matrix pencils through miniversal deformations ⋮ Recovering a perturbation of a matrix polynomial from a perturbation of its first companion linearization
Uses Software
Cites Work
- Unnamed Item
- Neighborhood radius estimation for Arnold's miniversal deformations of complex and \(p\)-adic matrices
- Stratification of full rank polynomial matrices
- Change of the congruence canonical form of 2-by-2 and 3-by-3 matrices under perturbations and bundles of matrices under congruence
- Miniversal deformations of pairs of skew-symmetric matrices under congruence
- Pencils of complex and real symmetric and skew matrices
- Symmetric matrix pencils
- Simplest miniversal deformations of matrices, matrix pencils, and contragredient matrix pencils
- Structure preserving stratification of skew-symmetric matrix polynomials
- Miniversal deformations of matrices of bilinear forms
- Miniversal deformations of matrices under *congruence and reducing transformations
- The Quadratic Eigenvalue Problem
- On the boundaries of the parametric resonance domain
- Parameter-Dependent Rank-One Perturbations of Singular Hermitian Or Symmetric Pencils
- On the solution of generalized non-linear complex-symmetric eigenvalue problems
- A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part II: A Stratification-Enhanced Staircase Algorithm
- A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part I: Versal Deformations
- Canonical Structure Transitions of System Pencils
- A new family of companion forms of polynomial matrices
- On Singularities of a Boundary of the Stability Domain
- Transformation of Families of Matrices to Normal Forms and its Application to Stability Theory
- Orbit Closure Hierarchies of Skew-symmetric Matrix Pencils
- Symmetric matrix pencils: codimension counts and the solution of a pair of matrix equations
- Change of the *-congruence canonical form of 2-by-2 matrices under perturbations
- Symmetric Linearizations for Matrix Polynomials
- Chapter 5: StratiGraph Tool: Matrix Stratifications in Control Applications
- ON MATRICES DEPENDING ON PARAMETERS
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