46 citations · 85 across the 3 of their papers we have counts for
5 papers
New robust ScaLAPACK routine for computing the QR factorization with column pivoting
Zvonimir Bujanović, Zlatko Drmač
In this note we describe two modifications of the ScaLAPACK subroutines PxGEQPF for computing the QR factorization with the Businger-Golub column pivoting. First, we resolve a subt…
A numerical comparison of solvers for large-scale, continuous-time algebraic Riccati equations and LQR problems
Peter Benner, Zvonimir Bujanović, Patrick Kürschner +1
In this paper, we discuss numerical methods for solving large-scale continuous-time algebraic Riccati equations. These methods have been the focus of intensive research in recent y…
A Householder-based algorithm for Hessenberg-triangular reduction
Zvonimir Bujanović, Lars Karlsson, Daniel Kressner
The QZ algorithm for computing eigenvalues and eigenvectors of a matrix pencil requires that the matrices first be reduced to Hessenberg-triangular (HT) form. The current…
Parallel solver for shifted systems in a hybrid CPU-GPU framework
Nela Bosner, Zvonimir Bujanović, Zlatko Drmač
This paper proposes a combination of a hybrid CPU--GPU and a pure GPU software implementation of a direct algorithm for solving shifted linear systems with large nu…
RADI: A low-rank ADI-type algorithm for large scale algebraic Riccati equations
Peter Benner, Zvonimir Bujanović, Patrick Kürschner +1
This paper introduces a new algorithm for solving large-scale continuous-time algebraic Riccati equations (CARE). The advantage of the new algorithm is in its immediate and efficie…