Results 251 to 260 of about 148,341 (304)

The application of the generalized conjugate residual algorithm to accelerate the fast multipole method

open access: closedIEEE Antennas and Propagation Society International Symposium. 2001 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.01CH37229), 2002
Scattering by an arbitrarily shaped conductor can be obtained by finding the solution of an integral equation where the unknown function is the induced current distribution. The integral equation is usually discretized into a matrix equation by the method of moments (MoM) and solved by iterative techniques, for example, the conjugate gradient method ...
Ning Yuan   +3 more
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Complete LU decomposition conjugate residual method and its performance for large-scale circuit simulation

open access: closed1988., IEEE International Symposium on Circuits and Systems, 2003
A method for solving large unsymmetric (LU) systems of linear equations arising from circuit transient analysis is proposed. This approach is based on the conjugate residual method, but is reinforced by the stability of LU decomposition. Unlike other preconditioned iterative methods, complete LU decomposition of a matrix at a previous time point is ...
A. Yajima   +3 more
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Parallel implementation of the semi-conjugate residual method for systems of linear algebraic equations

open access: closedOptoelectronics, Instrumentation and Data Processing, 2007
A preconditioned semi-conjugate residual algorithm for solving systems of algebraic equations with a nonsymmetric square matrix is presented. Most of the calculations in the algorithm is accounted for vector operations whose number grows quadratically with the number of stored directing vectors.
Sergey Pudov
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A multigrid conjugate residual method for the numerical solution of the Hartree-Folk equation for diatomic molecules

open access: closedJournal of Computational Physics, 1992
To solve numerically the restricted Hartree-Fock equations for diatomic molecules, a combination of the multigrid method and the Orthomin method with Gauss-Seidel relaxation as preconditioner is used. The differential equations are approximated to the sixth order and the solution is extrapolated to the eighth order. The iterative procedure to solve the
Kjell Davstad
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On the roots of the orthogonal polynomials and residual polynomials associated with a conjugate gradient method

open access: closedNumerical Linear Algebra with Applications, 1994
AbstractIn this paper we explore two sets of polynomials, the orthogonal polynomials and the residual polynomials, associated with a preconditioned conjugate gradient iteration for the solution of the linear system Ax = b. In the context of preconditioning by the matrix C, we show that the roots of the orthogonal polynomials, also known as generalized ...
Thomas A. Manteuffel, James S. Otto
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Conjugate Gradient Normal Residual Method for Solving Quaternion Toeplitz-Type Linear Systems with Application to Color Image Processing

open access: closedJournal of Scientific Computing
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baohua Huang, Zhigang Jia, Li Wen
openalex   +3 more sources

A derivative-free conjugate residual method using secant condition for general large-scale nonlinear equations

open access: closedNumerical Algorithms, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li Zhang
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AN INCOMPLETE LDU DECOMPOSITION OF LATTICE FERMIONS AND ITS APPLICATION TO CONJUGATE RESIDUAL METHODS

open access: closedComputer Physics Communications, 1986
A fast iterative solver for the linear equation appearing in the lattice gauge theory with fermions is proposed in terms of an incomplete LDU decomposition and the conjugate residual method. It is applicable to the Wilson fermion with arbitrary r (|r| ≤ 1) as well as the Kogut-Susskind fermion.
Yoshio Oyanagi
openalex   +2 more sources

Incomplete factorization methods with semi-conjugate residuals

Optoelectronics, Instrumentation and Data Processing, 2007
Iterative solving SLAE with nonsymmetric square real matrices by means of the robust modified method of generalized conjugate residuals and the hierarchical family of algorithms for incomplete matrix decomposition into triangular multipliers is considered.
V. P. Il’in, S. G. Pudov
openaire   +1 more source

Modeling of dispersive media in ADI-FDTD method with complex–conjugate pole residue pairs

Journal of the Optical Society of America B, 2021
This work presents an alternating-direction implicit (ADI) finite-difference time-domain (FDTD) scheme for the study of structures that involve materials with arbitrary frequency dispersion. The material dispersion is fitted to the complex–conjugate pole-residue (CCPR) terms model, and a novel, to the best of our knowledge, numerical formulation is ...
Konstantinos P. Prokopidis   +1 more
openaire   +2 more sources

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