numerical linear algebra

The three main problems of numerical linear algebra are: solving linear systems, solving eigenvalue/eigenvector problems, solving the linear least squares problem

Solving polynomial operator equations of degree 2 by Steffensen-type iterations with approximate inverses

1 day ago

Abstract AuthorsI. Păvăloiu (Tiberiu Popoviciu Institute of Numerical Analysis) Ion Păvăloiu Emil Cătinaş (Tiberiu Popoviciu Institute of Numerical Analysis) Emil…

On the solutions of a system of linear equations

5 months ago

Abstract AuthorsL. Negrescu Insstitutul de Calcul A.B. Németh Institutul de Calcul T. Rus Institutul de Calcul Keywords? Paper coordinatesL. Negrescu,…

On the Chebyshev method, with numerical applications to the eigenpair problem

7 months ago

Abstract AuthorsI. Păvăloiu (Tiberiu Popoviciu Institute of Numerical Analysis) Ion Păvăloiu Emil Cătinaş (Tiberiu Popoviciu Institute of Numerical Analysis) Emil…

Accurate spectral collocation computations of high order eigenvalues for singular Schrödinger equations-revisited

5 years ago

AbstractIn this paper, we continue to solve as accurately as possible singular eigenvalues problems attached to the Schrödinger equation. We…

Accurate spectral collocation solutions to 2nd-order Sturm–Liouville problems

5 years ago

AbstractThis work is about the use of some classical spectral collocation methods as well as with the new software system…

Accurate spectral collocation computation of high order eigenvalues for singular Schrödinger equations

5 years ago

AbstractWe are concerned with the study of some classical spectral collocation methods, mainly Chebyshev and sinc as well as with…

Accurate spectral collocation solutions to some Bratu’s type boundary value problems

5 years ago

AbstractWe solve by Chebyshev spectral collocation some genuinely nonlinear Liouville-Bratu-Gelfand type, 1D and a 2D boundary value problems. The problems…

On the nonmonotone behavior of the Newton‐GMBACK method

6 years ago

AbstractGMBACK is a Krylov solver for large linear systems, which is based on backward error minimization properties. The minimum backward…

Spectral Methods for Non-Standard Eigenvalue Problems. Fluid and Structural Mechanics and Beyond

6 years ago

Book summarySummary of the book… Book titleSpectral Methods for Non-Standard Eigenvalue Problems Book subtitleFluid and Structural Mechanics and Beyond Book…

Methods of Newton and Newton-Krylov type

6 years ago

Book summaryLocal convergence results on Newton-type methods for nonlinear systems of equations are studied. Solving of large linear systems by…

numerical linear algebra

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