This paper presents a parallel algorithm for solving systems of linear equations on ∗-semirings using linear arrays, and presents a partitioning technique.
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We have proposed a modification of the orthogonal Faddeev method [6] for solving various SLAE and also for inversion and pseudoinversion of matrices.
Such an attempt is made in [16] which describes a ∗-semiring based algorithm using eliminants for solving the given set of linear equations on the PRAM model.
The paper evaluates a paradigm for the efficient utilization of commercially available processors to implement serial algorithms on a parallel architecture.
This paper presents a parallel algorithm for computing the inversion of a dense matrix based on Gauss-Jordan elimination. The algorithm is proposed for the ...
Abstract—We present a method and organization of an arithmetic array processor for solving tridiagonal systems of linear equations.
The key for designing an optimal array processor is to design a parallel algorithm whose dependency graph is well-structured. The array processors are optimal ...
This paper first develops a systolic sparse matrix algorithm by modifying an existing partitionable dense matrix solution algorithm. The sparse algorithm is ...
PDF | On Jan 1, 1989, K. Jainandunsing published Parallel algorithms for solving systems of linear equations and their mapping on systolic arrays | Find, ...
Mar 8, 2021 · The new proof finds a quicker way of solving a large class of linear systems by sidestepping one of the main techniques typically used in the process.