52 research outputs found
Acceleration of Convergence of the Alternating Least Squares Algorithm for Nonlinear Principal Components Analysis
Get PDFCharge Simulation Solutions for Eigenvalue Problems
Get PDFThe charge simulation and the boundary matrix methods for solving eigenvalue problems for the Laplace operator are formulated in this paper. The numerical methods are based on a nonlinear representation of the eigenvalue problem on the boundary. The nonlinear eigenvalue problems are solved by using the Newton interation method. Numerical examples for simple models by the present methods are shown. From the numerical solutions the present methods give us accurate numerical eigen modes even for high eigenfrequencies
Boundary Matrix Method for Eigenvalue Problems
Get PDFThe boundary matrix method for solving eigenvalue problems for the Laplace operator is formulated in this paper. The numerical methods are based on a nonlinear representation of the eigenvalue problem on the boundary. The nonlinear eigenvalue problems are solved by using the Newton iteration method. Numerical examples for simple models by the present methods are shown. From the numerical solutions the present methods give us accurate numerical eigen-modes even for high eigenfrequencies
Some Secant type Iterative methods by Approximation of Logarithmic Secant Method with Numerical Integrations
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