18 citations · 36 across the 13 of their papers we have counts for
5 papers · 1 filter
The Tan -Theorem in Fluid Dynamics
Luka Grubišić, Vadim Kostrykin, Konstantin A. Makarov +2
We show that the generalized Reynolds number (in fluid dynamics) introduced by Ladyzhenskaya is closely related to the rotation of the positive spectral subspace of the Stokes bloc…
The TAN Theorem for Indefinite Quadratic Forms
Luka Grubišić, Vadim Kostrykin, Konstantin A. Makarov +1
A version of the Davis-Kahan Tan theorem [SIAM J. Numer. Anal. \textbf{7} (1970), 1 -- 46] for not necessarily semibounded linear operators defined by quadratic forms is prove…
On Temple--Kato like inequalities and applications
Luka Grubisic
We give both lower and upper estimates for eigenvalues of unbounded positive definite operators in an arbitrary Hilbert space. We show scaling robust relative eigenvalue estimates…
On weakly formulated Sylvester equations and applications
Luka Grubisic, Kresimir Veselic
We use a ``weakly formulated'' Sylvester equation to obtain new bounds for the rotation of spectral subspaces of a nonnegative selfadjoint o…
On eigenvalue and eigenvector estimates for nonnegative definite operators
Luka Grubisic
In this article we further develop a perturbation approach to the Rayleigh--Ritz approximations from our earlier work. We both sharpen the estimates and extend the applicability of…