𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A concurrent algorithm for parallel calculation of eigenvalues and eigenvectors of real symmetric matrices

✍ Scribed by Ramon Carbo; Lluís Molino; Blanca Calabuig

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
412 KB
Volume
13
Category
Article
ISSN
0192-8651

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✦ Synopsis

Elementary Jacobi Rotations are used as the basic tools to obtain eigenvalues and eigenvectors of arbitrary real symmetric matrices. The proposed algorithm has a complete concurrent structure, that is: every eigenvalueeigenvector pair can be obtained in any order and in an independent way from the rest. Examples based on diagonally dominant real symmetric matrices are given.

📜 SIMILAR VOLUMES

Iterative calculation of eigenvalues and
Iterative calculation of eigenvalues and eigenvectors of large, real matrix systems with overlap
✍ G. A. Gallup 📂 Article 📅 1982 🏛 John Wiley and Sons 🌐 English ⚖ 262 KB

## Abstract An improved method for obtaining a few eigenvalues and eigenvectors of the symmetric matrix system is presented: where **S** ≠ **I**. The method allows us to handle larger systems more easily than any other known to the author. It requires the inversion of **S**, and __N__^3^ step, but

Iterative methods for the calculation of
Iterative methods for the calculation of a few of the lowest eigenvalues and corresponding eigenvectors of the AX = λBX equation with real symmetric matrices of large dimension
✍ Alexander V. Mitin 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 326 KB

New methods for the iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of a generalized eigenvalue problem are proposed. These methods use only multiplication of the A and B matrices on a vector. 0 1994 by John Wiley & Sons, Inc.