Eigenvalue perturbation theory of structured real matrices and their sign characteristics under generic structured rank-one perturbations. (English) Zbl 1335.15013
Reviewer: Andreas Arvanitoyeorgos (Patras)
Found 37 Documents (Results 1–37)
Strong stability of invariant subspaces of quaternion matrices. (English) Zbl 1282.15024
Kaashoek, Marinus A. (ed.) et al., Advances in structured operator theory and related areas. The Leonid Lerer anniversary volume on the occasion of his 70th birthday. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0638-1/hbk; 978-3-0348-0639-8/ebook). Operator Theory: Advances and Applications 237, 221-239 (2013).
MSC:
15B33
Smoothness of generalized inverses. (English) Zbl 1255.46025
MSC:
46H05
Factorization versus invertibility of matrix functions on compact abelian groups. (English) Zbl 1279.47029
Dym, Harry (ed.) et al., A panorama of modern operator theory and related topics. The Israel Gohberg memorial volume. Basel: Birkhäuser (ISBN 978-3-0348-0220-8/hbk; 978-3-0348-0221-5/ebook). Operator Theory: Advances and Applications 218, 225-239 (2012).
Reviewer: Hu Yong-Jian (Beijing)
Lipschitz properties of structure preserving matrix perturbations. (English) Zbl 1298.15043
Reviewer: Rabe von Randow (Bonn)
Smoothness of generalized inverses. (English) Zbl 1256.46027
Reviewer: Srinivasa Swaminathan (Halifax)
MSC:
46H05
Perturbation analysis of Lagrangian invariant subspaces of symplectic matrices. (English) Zbl 1163.15030
Reviewer: Erich W. Ellers (Toronto)
Classes of normal matrices in indefinite inner products. (English) Zbl 0992.15026
Reviewer: Erich Ellers (Toronto)
Stability of stationary transport equations with accretive collision operators. (English) Zbl 0967.47033
Reviewer: Jesus Hernandez (Madrid)
Bézoutians of rational matrix functions, matrix equations and factorizations. (English) Zbl 0958.15007
Reviewer: Václav Burjan (Praha)
Symmetric factorizations and localization of zeroes of rational matrix functions. (English) Zbl 0866.15003
Minimal symmetric factorizations of symmetric real and complex rational matrix functions. (English) Zbl 0823.15023
Reviewer: E.Ellers (Toronto)
The rate of convergence of real invariant subspaces. (English) Zbl 0805.65044
Reviewer: A.Bultheel (Leuven)
\(J\)-unitary preserving automorphisms of rational matrix functions: State space theory, interpolation, and factorization. (English) Zbl 0794.15012
Reviewer: Li Fang (Nanjing)
MSC:
15A54
Stability index of invariant subspaces of matrices. (English) Zbl 0798.15006
Reviewer: E.Kreyszig (Ottawa)
Sylvester and Lyapunov equations and some interpolation problems for rational matrix functions. (English) Zbl 0813.15010
Minimal-degree coprime factorizations of rational matrix functions. (English) Zbl 0783.15005
Reviewer: L.Bakule (Barcelona)
Direct complements of invariant Lagrangian subspaces and minimal factorizations of skew-symmetric rational matrix functions. (English) Zbl 0780.15009
Reviewer: M.Voicu (Iaşi)
Generalized canonical factorization of matrix and operator functions with definite Hermitian part. (English) Zbl 0792.47017
Reviewer: G.P.A.Thijsse (Rotterdam)
State space theory of automorphisms of rational matrix functions. (English) Zbl 0754.15020
Reviewer: R.Covaci (Cluj-Napoca)
Laurent interpolation for rational matrix functions and a local factorization principle. (English) Zbl 0747.30026
Reviewer: W.Bergweiler (Aachen)
Spectrum separation and inertia for operator polynomials. (English) Zbl 0785.47012
Reviewer: A.L.Andrew (Bundoora)
MSC:
47A56
On symmetric factorizations of rational matrix functions. (English) Zbl 0731.15018
Reviewer: E.Kreyszig (Ottawa)
Common minimal multiples and divisors for rational matrix functions. (English) Zbl 0722.15015
Reviewer: J.Zemánek (Warszawa)
Stable invariant Lagrangian subspaces: Factorization of symmetric rational matrix functions and other applications. (English) Zbl 0706.15029
Reviewer: J.D.Dixon
Minimal factorization of meromorphic matrix functions in terms of local data. (English) Zbl 0621.47020
Hermitian solutions of the discrete algebraic Riccati equation. (English) Zbl 0598.15011
Reviewer: J.A.Ball
Interpolation and local data for meromorphic matrix and operator functions. (English) Zbl 0589.47015
On the distance between lattices of invariant subspaces of matrices. (English) Zbl 0586.15001
Reviewer: Y.-E.Kuo
Stability of solutions of the operator differential equation in transport theory. (English) Zbl 0584.47049
Stability of invariant maximal semidefinite subspaces. II. Applications: Self-adjoint rational matrix functions, algebraic Riccati equations. (English) Zbl 0593.15008
Reviewer: S.L.Campbell
Stability of invariant maximal semidefinite subspaces. I. (English) Zbl 0561.15001
Reviewer: S.L.Campbell
Stability of neutral invariant subspaces in indefinite inner products and stable symmetric factorizations. (English) Zbl 0516.47022
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