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Revisiting the Gauss-Huard Algorithm for the Solution of Linear Systems on Graphics Accelerators
(Springer, 2016-04-02)
In 1979, P. Huard presented an efficient variant of the Gauss-Jordan elimination for the solution of linear systems. In particular, this alternative algorithm exhibits the same computational cost as the traditional LU-based ...
A Parallel Multi-threaded Solver for Symmetric Positive Definite Bordered-Band Linear Systems
(Springer, 2016-04)
We present a multi-threaded solver for symmetric positive definite linear systems where the coefficient matrix of the problem features a bordered-band non-zero pattern. The algorithms that implement this approach heavily ...
Accelerating Model Reduction of Large Linear Systems with Graphics Processors
(Springer Berlin Heidelberg, 2012)
Model order reduction of a dynamical linear time-invariant system appears in many applications from science and engineering. Numerically reliable SVD-based methods for this task require in general O(n3) floating-point ...
Accelerating BST Methods for Model Reduction with Graphics Processors
(Springer Berlin Heidelberg, 2012)
Model order reduction of dynamical linear time-invariant system appears in many scientific and engineering applications. Numerically reliable SVD-based methods for this task require O(n3) floating-point arithmetic operations, ...