From the 1 of 5 linked papers with an AI index.
5 papers
A counterexample to the symmetric-maximizer conjecture for Lyapunov operators
Daniel Kressner, Bart Vandereycken
It has been conjectured that the operator norm of the Lyapunov operator induced by the Frobenius norm is always attained at a symmetric matrix. The conjecture is known to hold for…
The Average Singular Value of a Real Square Gaussian Random Matrix Strictly Increases with Dimension
Ondrej Hutník
We settle the real half of a conjecture of Bandeira, Kennedy and Singer on the dimension dependence of the Gaussian constant governing the little Grothendieck problem over the orth…
A mixed precision algorithm for the matrix square root
Bowen Gao, Daniel Kressner, Meiyue Shao
The paper introduces a mixed‑precision method for computing matrix square roots that uses a low‑precision Schur decomposition followed by iterative refinement via an approximate Ne…
Linear convergence of iterative contour integral-based eigensolvers for nonlinear eigenvalue problems
Daniel Kressner, Yuqi Liu, Jose E. Roman +2
Solving nonlinear eigenvalue problems is an important and challenging task in scientific computing. Contour integral-based approaches are attractive for such eigenvalue problems be…
Lanczos with compression for symmetric eigenvalue problems
Angelo A. Casulli, Daniel Kressner, Nian Shao
The Lanczos method with implicit restarting is one of the most popular methods for finding a few exterior eigenpairs of a large symmetric matrix . Usually based on polynomial fi…