Parallel and distributed computation: numerical methods
Parallel and distributed computation: numerical methods
Parallel Gradient Distribution in Unconstrained Optimization
SIAM Journal on Control and Optimization
New Inexact Parallel Variable Distribution Algorithms
Computational Optimization and Applications
Iterative solution of nonlinear equations in several variables
Iterative solution of nonlinear equations in several variables
Testing Unconstrained Optimization Software
ACM Transactions on Mathematical Software (TOMS)
Parallel Variable Transformation in Unconstrained Optimization
SIAM Journal on Optimization
Parallel Variable Distribution for Constrained Optimization
Computational Optimization and Applications
A new backtracking inexact BFGS method for symmetric nonlinear equations
Computers & Mathematics with Applications
BFGS trust-region method for symmetric nonlinear equations
Journal of Computational and Applied Mathematics
Limited memory BFGS method with backtracking for symmetric nonlinear equations
Mathematical and Computer Modelling: An International Journal
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This paper studies performance of the parallel variable transformation(PVT) algorithm for unconstrained nonlinear optimization throughnumerical experiments on a Fujitsu VPP500, one of the most up-to-datevector parallel computers. Special attention is paid to a particularform of the PVT algorithm that is regarded as a generalization of theblock Jacobi algorithm that allows overlapping of variables amongprocessors. Implementation strategies on the VPP500 are describedin detail and results of numerical experiments are reported.