Porting the parallel array programming language ZPL to an embedded multicomputing system
APL '02 Proceedings of the 2002 conference on APL: array processing languages: lore, problems, and applications
State-space truncation methods for parallel model reduction of large-scale systems
Parallel Computing - Special issue: Parallel and distributed scientific and engineering computing
The science of deriving dense linear algebra algorithms
ACM Transactions on Mathematical Software (TOMS)
Anatomy of high-performance matrix multiplication
ACM Transactions on Mathematical Software (TOMS)
Partial stabilisation of large-scale discrete-time linear control systems
International Journal of Computational Science and Engineering
Families of algorithms related to the inversion of a Symmetric Positive Definite matrix
ACM Transactions on Mathematical Software (TOMS)
Solving linear-quadratic optimal control problems on parallel computers
Optimization Methods & Software
Parallel solution of large-scale algebraic Bernoulli equations with the matrix sign function method
International Journal of Computational Science and Engineering
Using hybrid CPU-GPU platforms to accelerate the computation of the matrix sign function
Euro-Par'09 Proceedings of the 2009 international conference on Parallel processing
Families of Algorithms for Reducing a Matrix to Condensed Form
ACM Transactions on Mathematical Software (TOMS)
Towards a functional run-time for dense NLA domain
Proceedings of the 2nd ACM SIGPLAN workshop on Functional high-performance computing
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We present one-sweep parallel algorithms for the inversion of general and symmetric positive definite matrices. The algorithms feature simple programming and performance optimization while maintaining the same arithmetic cost and numerical properties of conventional inversion algorithms. Our experiments on a Cray T3E-600 and a Beowulf cluster demonstrate high performance of implementations for distributed memory parallel computers.