5 papers
Lipschitz stability of -FOCS and RC canonical Jordan bases of real -selfadjoint matrices under small perturbations
S. Dogruer Akgul, A. Minenkova, V. Olshevsky
In 2008 Bella, Olshevsky and Prasad proved that the flipped orthogonal (FO) Jordan bases of H-selfadjoint matrices are Lipschitz stable under small perturbations. In 2022, Dogruer,…
Existence of flipped orthogonal conjugate symmetric Jordan canonical bases for real H-selfadjoint matrices
S. Dogruer Akgul, A. Minenkova, V. Olshevsky
For real matrices selfadjoint in an indefinite inner product there are two special canonical Jordan forms, that is (i) flipped orthogonal (FO) and (ii) -conjugate symmetric (CS)…
Gohberg-Kaashoek Numbers and Forward Stability of the Schur Canonical Form
Anastasiia Minenkova, Evelyn Nitch-Griffin, Vadim Olshevsky
In the present paper we complete the stability of Schur decomposition depending on the Jordan structure of the perturbation, started in \cite{MNO}.
Backward Stability of the Schur Canonical Form
Anastasiia Minenkova, Evelyn Nitch-Griffin, Vadim Olshevsky
In the present paper, we show the backward stability of the Schur decomposition for a given matrix under small perturbation.
A Fast Algorithm for the Inversion of Quasiseparable Vandermonde-like Matrices
Sirani M. Perera, Grigory Bonik, Vadim Olshevsky
The results on Vandermonde-like matrices were introduced as a generalization of polynomial Vandermonde matrices, and the displacement structure of these matrices was used to derive…