18 citations · 36 across the 13 of their papers we have counts for
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The Rotation of Eigenspaces of Perturbed Matrix Pairs
Luka Grubišić, Ninoslav Truhar, Krešimir Veselić
We revisit the relative perturbation theory for invariant subspaces of positive definite matrix pairs. As a prototype model problem for our results we consider parameter dependent…
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…
Representation Theorems for Indefinite Quadratic Forms Revisited
Luka Grubisic, Vadim Kostrykin, Konstantin A. Makarov +1
The first and second representation theorems for sign-indefinite, not necessarily semi-bounded quadratic forms are revisited. New straightforward proofs of these theorems are given…