𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A new algorithm for solving large inhomogeneous linear system of algebraic equations

✍ Scribed by S. Ramasesha

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
314 KB
Volume
11
Category
Article
ISSN
0192-8651

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

An algorithm based on a small matrix approach to the solution of a system of inhomogeneous linear algebraic equations is developed and tested in this short communication. The solution is assumed to lie in an initial subspace and the dimension of the subspace is augmented iteratively by adding the component of the correction vector obtained from the Jacobi scheme on the coefficient matrix A (A^T^A, if the matrix A is nondefinite) that is orthogonal to the subspace. If the dimension of the subspace becomes inconveniently large, the iterative scheme can be restarted. The scheme is applicable to both symmetric and nonsymmetric matrices. The small matrix is symmetric (nonsymmetric), if the coefficient matrix is symmetric (nonsymmetric). The scheme has rapid convergence even for large nonsymmetric sparse systems.

πŸ“œ SIMILAR VOLUMES

Linear scaling local correlation approac
Linear scaling local correlation approach for solving the coupled cluster equations of large systems
✍ Shuhua Li; Jing Ma; Yuansheng Jiang πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 159 KB πŸ‘ 1 views

## Abstract A linear scaling local correlation approach is proposed for approximately solving the coupled cluster doubles (CCD) equations of large systems in a basis of orthogonal localized molecular orbitals (LMOs). By restricting double excitations from spatially close occupied LMOs into their as

A LINEARIZED PROCEDURE FOR SOLVING INVER
A LINEARIZED PROCEDURE FOR SOLVING INVERSE SENSITIVITY EQUATIONS OF NON-DEFECTIVE SYSTEMS
✍ A.Y.T. LEUNG; L.F. CHEN; W.L. WANG πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 161 KB

A linearized algorithm for solving inverse sensitivity equations of non-defective systems is presented. It is based on the orthonormal decomposition of the first order directional derivatives and directional continuity along s of the s Γ€ l base. The least-squares methods which minimize the trace of