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Fast-forward/fast-backward substitutions on vector computers
(Institute of Electrical and Electronics Engineers (IEEE), 1999-11-01)
This paper deals with approaches for sparse matrix substitutions using vector processing. Many publications have used the W-matrix method to solve the forward/backward substitutions on vector computer. Recently a different ...
Fast-forward/fast-backward substitutions on vector computers
(Institute of Electrical and Electronics Engineers (IEEE), 1999-11-01)
This paper deals with approaches for sparse matrix substitutions using vector processing. Many publications have used the W-matrix method to solve the forward/backward substitutions on vector computer. Recently a different ...
Solving a sparse system using linear algebra
(Elsevier, 2015-04)
We give a new theoretical tool to solve sparse systems with finitely many solutions. It is based on toric varieties and basic linear algebra; eigenvalues, eigenvectors and coefficient matrices. We adapt Eigenvalue theorem ...
Fast-forward/fast-backward substitutions on vector computers
(Institute of Electrical and Electronics Engineers (IEEE), 2014)
Computing sparse representations of multidimensional signals using Kronecker bases
(M I T Press, 2013-01)
Recently, there is a great interest in sparse representations of signals under the assumption that signals (datasets) can be well approximated by a linear combination of few elements of a known basis (dictionary). Many ...
BANDWIDTH REDUCTION ON SPARSE MATRICES BY INTRODUCING NEW VARIABLES
(Universidad de Tarapacá., 2010)
COMPARING ALGORITHMS FOR SOLVING SPARSE NONLINEAR-SYSTEMS OF EQUATIONS
(Siam PublicationsPhiladelphia, 1992)
Discretisation Of Sparse Linear Systems: An Optimisation Approach
(ELSEVIER SCIENCE BVAMSTERDAM, 2015)
Exploring FPGA optimizations to compute sparse numerical linear algebra kernels.
(Springer, 2020)
The solution of sparse triangular linear systems (sptrsv) is the bottleneck of many numerical methods. Thus, it is crucial to count with efficient implementations of such kernel, at least for commonly used platforms. In ...
Constrained Linear Regularised State Estimator For Observability Analysis In Power Systems
(Inst Engineering Technology-IETHertford, 2016)