6 papers
Hypergeometric solutions to coupled Klein-Gordon equations in cosmology with small-field excursions
Amin Aboubrahim, Anastasiia Minenkova, Tomas Yonkers
The Klein-Gordon equation is a second order differential equation that appears in a variety of applications in mathematics, physics and engineering. This equation is often solved u…
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}.
A Theorem of Joseph-Alfred Serret and its Relation to Perfect Quantum State Transfer
Maxim Derevyagin, Anastasiia Minenkova, Nathan Sun
In this paper we recast the Serret theorem about a characterization of palindromic continued fractions in the context of polynomial continued fractions. Then, using the relation be…
A continuation of solutions to convolution equations with the loss of smoothness
Anastasiia Minenkova
In the present paper the smoothness loss of a continuation of solutions to convolution equations is studied. Also examples for some kinds of convolvers are given.