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» Iterative solutions to matrix equations of the form AiXBi=Fi
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ARC
2010
Springer
387views Hardware» more  ARC 2010»
14 years 2 months ago
Optimising Memory Bandwidth Use for Matrix-Vector Multiplication in Iterative Methods
Computing the solution to a system of linear equations is a fundamental problem in scientific computing, and its acceleration has drawn wide interest in the FPGA community [1–3]...
David Boland, George A. Constantinides
CORR
2008
Springer
113views Education» more  CORR 2008»
13 years 7 months ago
Gaussian Belief Propagation Solver for Systems of Linear Equations
The canonical problem of solving a system of linear equations arises in numerous contexts in information theory, communication theory, and related fields. In this contribution, we ...
Ori Shental, Paul H. Siegel, Jack K. Wolf, Danny B...
ENTCS
2002
136views more  ENTCS 2002»
13 years 7 months ago
Final Coalgebras And a Solution Theorem for Arbitrary Endofunctors
Every endofunctor F of Set has an initial algebra and a final coalgebra, but they are classes in general. Consequently, the endofunctor F of the category of classes that F induces...
Jirí Adámek, Stefan Milius, Jiri Vel...
DAGSTUHL
2007
13 years 9 months ago
Matrix Analytic Methods in Branching processes
We examine the question of solving the extinction probability of a particular class of continuous-time multi-type branching processes, named Markovian binary trees (MBT). The exti...
Sophie Hautphenne, Guy Latouche, Marie-Ange Remich...
FCCM
2006
IEEE
268views VLSI» more  FCCM 2006»
14 years 1 months ago
Sparse Matrix-Vector Multiplication for Finite Element Method Matrices on FPGAs
We present an architecture and an implementation of an FPGA-based sparse matrix-vector multiplier (SMVM) for use in the iterative solution of large, sparse systems of equations ar...
Yousef El-Kurdi, Warren J. Gross, Dennis Giannacop...