4 papers · 1 filter
GPU-Accelerated Cholesky Factorization of Block Tridiagonal Matrices
Roland Schwan, Daniel Kuhn, Colin N. Jones
This paper presents a GPU-accelerated framework for solving block tridiagonal linear systems that arise naturally in numerous real-time applications across engineering and scientif…
Parallel KKT Solver in PIQP for Multistage Optimization
Fenglong Song, Roland Schwan, Yuwen Chen +1
This paper presents an efficient parallel Cholesky factorization and triangular solve algorithm for the Karush-Kuhn-Tucker (KKT) systems arising in multistage optimization problems…
Exploiting Multistage Optimization Structure in Proximal Solvers
Roland Schwan, Daniel Kuhn, Colin N. Jones
This paper presents an efficient structure-exploiting algorithm for multistage optimization problems. The proposed method extends existing approaches by supporting full coupling be…
On continuation and convex Lyapunov functions
Wouter Jongeneel, Roland Schwan
Suppose that the origin is globally asymptotically stable under a set of continuous vector fields on Euclidean space and suppose that all those vector fields come equipped with --…