4 papers
Cone Rayleigh Levels: Finite Perturbations and Certified Control
Yavdat Sh. Il'yasov, Nur F. Valeev
We study the reuse of positive trial profiles under finite perturbations of nonsymmetric matrix pencils B-λG. The lower and upper cone Rayleigh levels need not coincide and are def…
Cone Minimax Principles for Non-Selfadjoint Operator Pencils
Yavdat Il'yasov, Nur Valeev
We propose a variational approach to principal spectral values of non-selfadjoint operator pencils , where the weight operator may be singu…
Uniqueness of Ground State Solutions for a Defocusing Hartree Equation via Inverse Optimal Problems
Yavdat Il'yasov, Juntao Sun, Nur Valeev +1
We study a generalized defocusing Hartree equation with nonlocal exchange potential and repulsive Hartree--Fock interaction. Using an inverse optimal problem (IOP) approach, we pro…
A new proof of the Perron-Frobeniuos theorem, a variational approach
Yavdat Il'yasov, Nurmukhamet Valeev
We develop the Perron-Frobenius theory using a variational approach and extend it to a set of arbitrary matrices, including those that are neither irreducible nor essentially posit…