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Title: An Approach to Reduction of the Real Symmetric 3 x 3 Secular Problem and Applications

Abstract

An original analytical method for casting a real three-dimensional symmetric matrix into its diagonal form along with explicit formulas for the corresponding eigenvectors is given. This is achieved by a two-step procedure relying on a nice geometrical parametrization of the rotational group SO(3) and the fundamental algebraic theorem about solutions of the polynomial equations.

Authors:
 [1];  [2]
  1. Institute of Biophysics, Bulgarian Academy of Sciences, Sofia (Bulgaria)
  2. Institute of Mechanics, Bulgarian Academy of Sciences, Sofia (Bulgaria)
Publication Date:
OSTI Identifier:
20692910
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Atomic Nuclei; Journal Volume: 68; Journal Issue: 11; Other Information: Translated from Yadernaya Fizika, ISSN 0044-0027, 68, 1978-1983 (No. 11, 2005); DOI: 10.1134/1.2131119; (c) 2005 Pleiades Publishing, Inc; Country of input: International Atomic Energy Agency (IAEA); TN:
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ALGEBRA; EIGENFUNCTIONS; EIGENVALUES; EIGENVECTORS; FIELD EQUATIONS; GEOMETRY; MATHEMATICAL SOLUTIONS; POLYNOMIALS; SO-3 GROUPS; THREE-DIMENSIONAL CALCULATIONS

Citation Formats

Mladenov, I.M., and Mladenova, C.D. An Approach to Reduction of the Real Symmetric 3 x 3 Secular Problem and Applications. United States: N. p., 2005. Web. doi:10.1134/1.2131119.
Mladenov, I.M., & Mladenova, C.D. An Approach to Reduction of the Real Symmetric 3 x 3 Secular Problem and Applications. United States. doi:10.1134/1.2131119.
Mladenov, I.M., and Mladenova, C.D. Tue . "An Approach to Reduction of the Real Symmetric 3 x 3 Secular Problem and Applications". United States. doi:10.1134/1.2131119.
@article{osti_20692910,
title = {An Approach to Reduction of the Real Symmetric 3 x 3 Secular Problem and Applications},
author = {Mladenov, I.M. and Mladenova, C.D.},
abstractNote = {An original analytical method for casting a real three-dimensional symmetric matrix into its diagonal form along with explicit formulas for the corresponding eigenvectors is given. This is achieved by a two-step procedure relying on a nice geometrical parametrization of the rotational group SO(3) and the fundamental algebraic theorem about solutions of the polynomial equations.},
doi = {10.1134/1.2131119},
journal = {Physics of Atomic Nuclei},
number = 11,
volume = 68,
place = {United States},
year = {Tue Nov 01 00:00:00 EST 2005},
month = {Tue Nov 01 00:00:00 EST 2005}
}