Results 241 to 250 of about 148,341 (304)
Constrained Residual Acceleration of Conjugate Residual Methods
Proceedings of SPE Reservoir Simulation Symposium, 1985 ABSTRACT This paper describes a new iterative technique for the solution of linear systems of equations arising in petroleum reservoir simulation. The procedure exploits a powerful, vectorizable preconditioner to accelerate generalized conjugate residual methods.
J. R. Wallis +2 more
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The Conjugate Residual Method in Linesearch and Trust-Region Methods
SIAM Journal on Optimization, 2019 Summary: The minimum residual method (MINRES) of \textit{C. C. Paige} and \textit{M. A. Saunders} [SIAM J. Numer. Anal. 12, 617--629 (1975; Zbl 0319.65025)], which is often the method of choice for symmetric linear systems, is a generalization of the conjugate residual method (CR), proposed by \textit{M. R. Hestenes} and \textit{E. Stiefel} [J.
Marie-Ange Dahito, Dominique Orban
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Transactions of the Institute of Measurement and Control, 2020 In this paper, two attractive iterative methods – conjugate gradient squared (CGS) and conjugate residual squared (CRS) – are extended to solve the generalized coupled Sylvester tensor equations [Formula: see text]. The proposed methods use tensor computations with no maricizations involved.
Eisa Khosravi Dehdezi, Saeed Karimi
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Semi-conjugate residual method for iterative solving the Navier-Stokes problem
Optoelectronics, Instrumentation and Data Processing, 2007 The semi-conjugate residual algorithm is applied to solving a three-dimensional Navier-Stokes problem on nested grids. A three-level iterative algorithm for solving the problem is described. Results of numerical experiments on a sequence of grids and different Reynolds numbers are presented for a test problem.
Y. L. Gurieva
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Adaptive three-term family of conjugate residual methods for system of monotone nonlinear equations
São Paulo Journal of Mathematical Sciences, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammed Yusuf Waziri +2 more
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On a generalized conjugate gradient orthogonal residual method
Numerical Linear Algebra with Applications, 1995 AbstractTo solve a linear system of equations with a generally nonsymmetric matrix, a generalized conjugate gradientorthogonal residual method is presented. The method uses all previous search directions (or a truncated set of them) at each step but, contrary to standard implementations of similar methods, it requires storage of only one set with a ...
Owe Axelsson, М. М. Макаров
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Conjugate residual squared method and its improvement for non-symmetric linear systems
International Journal of Computer Mathematics, 2009 In this paper, conjugate residual squared (CRS) method for solving linear systems with non-symmetric coefficient matrices is proposed. Moreover, based on the ideas by Gu et al. [An improved bi-conjugate residual algorithm suitable for distributed parallel computing, Appl. Math. Comput. 186 (2007), pp.
Litao Zhang +4 more
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Convergence of Conjugate Residual-Like Methods to Solve Linear Equations
SIAM Journal on Numerical Analysis, 1988 For linear systems with unsymmetric but positive definite system matrix (i.e., the symmetric part is positive definite), conjugate residual type algorithms are discussed and their convergence behaviour is studied. Using standard variational techniques, convergence proofs are obtained for arbitrary methods of this type.
S. R. Vatsya
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On vectorizing the preconditioned generalized conjugate residual methods
International Journal of Computer Mathematics, 1990 A numerical study of the efficiency of the vectorized generalized conjugate residual methods (GCR) is performed using three different preconditioners, incomplete LU factorization, diagonal scaling and polynomial. The GCR behaviour is valued in connection with the solution of large, sparse unsymmetric systems of equations, arising from the finite ...
Giorgio Pini, Giovanni Zilli
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