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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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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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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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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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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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Baohua Huang, Zhigang Jia, Li Wen
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Li Zhang
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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
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Incomplete factorization methods with semi-conjugate residuals
Optoelectronics, Instrumentation and Data Processing, 2007Iterative 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
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Modeling of dispersive media in ADI-FDTD method with complex–conjugate pole residue pairs
Journal of the Optical Society of America B, 2021This 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
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