Results 261 to 270 of about 819,121 (316)
Some of the next articles are maybe not open access.
A New Conjugate Gradient Method for Moving Force Identification of Vehicle–Bridge System
Journal of Vibration Engineering & Technologies, 2022Chengsheng Luo +3 more
semanticscholar +1 more source
1994
In the following, A ∈ ℝ I x I and b ∈ ℝ I are real. We consider a system $$ Ax\, = \,b $$ (9.1.1) and assume that $$ A\,is\,positive\,definite. $$ (9.1.2) System (1) is associated with the function $$ F\left( x \right): = \,\frac{1}{2}\left\langle {Ax,\,x} \right\rangle \, - \,\left\langle {b,\,x} \right\rangle . $$ (9.1.3)
openaire +1 more source
In the following, A ∈ ℝ I x I and b ∈ ℝ I are real. We consider a system $$ Ax\, = \,b $$ (9.1.1) and assume that $$ A\,is\,positive\,definite. $$ (9.1.2) System (1) is associated with the function $$ F\left( x \right): = \,\frac{1}{2}\left\langle {Ax,\,x} \right\rangle \, - \,\left\langle {b,\,x} \right\rangle . $$ (9.1.3)
openaire +1 more source
New Hybrid Conjugate Gradient and Broyden–Fletcher–Goldfarb–Shanno Conjugate Gradient Methods
Journal of Optimization Theory and Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stanimirović, Predrag S. +3 more
openaire +2 more sources
Conjugate Gradient-Type Methods
1993This chapter highlights conjugate gradient-type methods. A large number of iterative methods for solving linear systems of equations can be derived as minimization methods. In the context of minimization, the Gauss–Seidel method is sometimes known as the method of univariate relaxation, because at each iteration, only a single variable is changed.
Gene Golub, James M. Ortega
openaire +1 more source
Block conjugate gradient methods
Optimization Methods and Software, 1993In this paper a comprehensive theory is attempted of methods of conjugate-gradient type where the matrix of coefficients may be definite, indefinite or nonsymmetric. The theory is based on ‘leveling’ some underlying quadratic function over a linear manifold rather than just a straight line.
openaire +1 more source
Other Conjugate Gradient Methods
2020As already seen, the conjugate gradient algorithms presented so far use some principles based on: hybridization or modifications of the standard schemes, the memoryless or the scaled memoryless BFGS preconditioned or the three-term concept. The corresponding conjugate gradient algorithms are defined by the descent condition, the “pure” conjugacy or the
openaire +1 more source
A conjugate gradient iterative method
Computers & Fluids, 1981Abstract A strongly implicit pre-conditioned form of the conjugate gradient method is considered. The resulting iterative technique is applicable for sparse systems of difference equations arising from boundary value problems. The method is used to solve two- and three-dimensional potential flows. In addition, it is extended to a 2 x 2 coupled system
P.K. Khosla, S.G. Rubin
openaire +1 more source
Standard Conjugate Gradient Methods
2020The purpose of this chapter is to present the standard conjugate gradient algorithms as well as their convergence for solving unconstrained optimization problems.
openaire +1 more source