Results 11 to 20 of about 1,731 (272)
A Combined Conjugate Gradient Quasi-Newton Method with Modification BFGS Formula
International Journal of Analysis and Applications, 2023 The conjugate gradient and Quasi-Newton methods have advantages and drawbacks, as although quasi-Newton algorithm has more rapid convergence than conjugate gradient, they require more storage compared to conjugate gradient algorithms.
Mardeen Sh. Taher, Salah G. Shareef
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Preconditioned augmented Lagrangian method for mean curvature image deblurring
AIMS Mathematics, 2022 Image deblurring models with a mean curvature functional has been widely used to preserve edges and remove the staircase effect in the resulting images. However, the Euler-Lagrange equations of a mean curvature model can be used to solve fourth-order non-
Shahbaz Ahmad +6 more
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Block Preconditioning for the Conjugate Gradient Method [PDF]
SIAM Journal on Scientific and Statistical Computing, 1985 Different block preconditionings for the conjugate gradient methods are investigated for solving positive definite block tridiagonal systems. These preconditionings are based on different sparse approximate matrix inverses. The proposed methods are compared with other well-known preconditionings as for example the point incomplete Cholesky ...
Concus, P., Golub, G.H., Meurant, G.
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Mathematics, 2022 This paper is devoted to proposing a modified conjugate residual method for solving the generalized coupled Sylvester tensor equations. To further improve its convergence rate, we derive a preconditioned modified conjugate residual method based on the ...
Tao Li, Qing-Wen Wang, Xin-Fang Zhang
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An inexact Newton method with inner preconditioned CG for non-uniformly monotone elliptic problems
Mathematical Modelling and Analysis, 2021 The present paper introduces an inexact Newton method, coupled with a preconditioned conjugate gradient method in inner iterations, for elliptic operators with non-uniformly monotone upper and lower bounds.
Benjámin Borsos
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About analysis of large problems of structural mechanics on multi-core computers [PDF]
Инженерно-строительный журнал, 2013 The sparse direct solvers as well as iterative methods are considered for analysis of large-scale finite element problems of structural mechanics on multi-core computers.
S.Yu. Fialko
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Explicit conjugate gradient method with preconditioning [PDF]
Applications of Mathematics, 1994 The authors propose the matrix \(C = (I - \omega A)^{-1}\) as a preconditioner in the preconditioned conjugate gradient (PCCG) method for solving the system of algebraic equations \(Ax = b\). Convergence properties of this PCCG method are analyzed. Especially, a relation between the condition numbers of the matrices \(C^{-1} A\) and \(A\) is derived ...
Křížková, Jitka, Vaněk, Petr
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Corrigendum: Block Preconditioning for the Conjugate Gradient Method [PDF]
SIAM Journal on Scientific and Statistical Computing, 1985 Concerns the authors' paper [ibid. 6, 220-252 (1985; Zbl 0556.65022)].
Concus, P., Golub, G. H., Meurant, G.
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Preconditioned conjugate gradient methods for three‐dimensional linear elasticity [PDF]
International Journal for Numerical Methods in Engineering, 1994 AbstractFinite element modelling of three‐dimensional elasticity problems give rise to large sparse matrices. Various preconditioning methods are developed for use in preconditioned conjugate gradient iterative solution techniques. Incomplete factorizations based on levels of fill, drop tolerance, and a two‐level hierarchical basis are developed ...
Dickinson, J. K., Forsyth, P A.
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Tensor Conjugate-Gradient methods for tensor linear discrete ill-posed problems
AIMS Mathematics, 2023 This paper presents three types of tensor Conjugate-Gradient (tCG) methods for solving large-scale linear discrete ill-posed problems based on the t-product between third-order tensors.
Hong-Mei Song +2 more
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