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Displaying 21 – 40 of 82

The descent algorithms for solving symmetric Pareto eigenvalue complementarity problem

Lu Zou, Yuan Lei (2023)

Applications of Mathematics

For the symmetric Pareto Eigenvalue Complementarity Problem (EiCP), by reformulating it as a constrained optimization problem on a differentiable Rayleigh quotient function, we present a class of descent methods and prove their convergence. The main features include: using nonlinear complementarity functions (NCP functions) and Rayleigh quotient gradient as the descent direction, and determining the step size with exact linear search. In addition, these algorithms are further extended to solve the...

The Drazin inverse in multibody system dynamics.

P. Rentrop, C. Führer, B. Simeon (1993)

Numerische Mathematik

The Economical Storage of Plane Rotations.

G.W. Stewart (1975/1976)

Numerische Mathematik

The eigenvalue problem and Jacobean-like methods for its solution

C. N. Kourogenis (1970)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

The eigenvalues of Hermite and rational spectral differentiation matrices.

J.A.C. Weidemann (1992)

Numerische Mathematik

The extrapolated successive overrelaxation (ESOR) method for consistently ordered matrices.

Missirlis, N.M., Evans, D.J. (1984)

International Journal of Mathematics and Mathematical Sciences

The frequency decomposition multi-grid method. II. Convergence analysis based on the additive Schwarz method.

Wolfgang Hackbusch (1992)

Numerische Mathematik

The Frequency Decomposition Multi-Grid Method. Part I: Application to Anisotropic Equations.

Wolfgang Hackbusch (1989/1990)

Numerische Mathematik

The General Neville-Aitken-Algorithm and Some Applications.

G. Mühlbach (1978/1979)

Numerische Mathematik

The Hierarchical Basis Multigrid Method.

R.E. Bank, H. Yserentant, T.F. Dupont (1987/1988)

Numerische Mathematik

The interplay between classical analysis and (numerical) linear algebra -- a tribute to Gene H. Golub.

Gautschi, Walter (2002)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

The inversion of cyclic tridiagonal matrices

Janina Łosiak, E. Neuman, Jolanta Nowak (1988)

Applicationes Mathematicae

The Method of Coordinate Overrelaxation for (A Â? ... B) x = 0 .

H.R. Schwarz (1974/1975)

Numerische Mathematik

The method of fictitious right-hand sides

Milan Práger (1984)

Aplikace matematiky

The paper deals with the application of a fast algorithm for the solution of finite-difference systems for boundary-value problems on a standard domain (e.g. on a rectangle) to the solution of a boundary-value problem on a domain of general shape contained in the standard domain. A simple iterative procedure is suggested for the determination of fictitious right-hand sides for the system on the standard domain so that its solution is the desired one. Under the assumptions that are usual for matrices...

The minimum-norm least-squares solution of a linear system and symmetric rank-one updates.

Chen, Xuzhou, Ji, Jun (2011)

ELA. The Electronic Journal of Linear Algebra [electronic only]

The Neumann-Dirichlet Domain Decomposition Method with Inexact Solvers on the Subdomains.

Christoph Börgers (1987)

Numerische Mathematik

The new iteration methods for solving absolute value equations

Rashid Ali, Kejia Pan (2023)

Applications of Mathematics

Many problems in operations research, management science, and engineering fields lead to the solution of absolute value equations. In this study, we propose two new iteration methods for solving absolute value equations $A x - | x | = b$ , where $A \in ℝ^{n \times n}$ is an $M$ -matrix or strictly diagonally dominant matrix, $b \in ℝ^{n}$ and $x \in ℝ^{n}$ is an unknown solution vector. Furthermore, we discuss the convergence of the proposed two methods under suitable assumptions. Numerical experiments are given to verify the feasibility, robustness and effectiveness...

Currently displaying 21 – 40 of 82

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Displaying 21 – 40 of 82

The descent algorithms for solving symmetric Pareto eigenvalue complementarity problem

The Drazin inverse in multibody system dynamics.

The Economical Storage of Plane Rotations.

The eigenvalue problem and Jacobean-like methods for its solution

The eigenvalues of Hermite and rational spectral differentiation matrices.

The extrapolated successive overrelaxation (ESOR) method for consistently ordered matrices.

The frequency decomposition multi-grid method. II. Convergence analysis based on the additive Schwarz method.

The Frequency Decomposition Multi-Grid Method. Part I: Application to Anisotropic Equations.

The General Neville-Aitken-Algorithm and Some Applications.

The Hierarchical Basis Multigrid Method.

The interplay between classical analysis and (numerical) linear algebra -- a tribute to Gene H. Golub.

The inversion of cyclic tridiagonal matrices

The Method of Coordinate Overrelaxation for (A Â? ... B) x = 0 .

The method of fictitious right-hand sides

The minimum-norm least-squares solution of a linear system and symmetric rank-one updates.

The Neumann-Dirichlet Domain Decomposition Method with Inexact Solvers on the Subdomains.

The new iteration methods for solving absolute value equations

The numerical solution of large finite element systems by explicit preconditioning semi-direct methods

The Numerically Stable Reconstruction of Jacobi Matrices from Spectral Data.

The Ordering of Tridiagonal Matrices in the Cyclic Reduction Method for Poisson's Equation.

Currently displaying 21 – 40 of 82