A geometrical method for diagonalizing real, symmetric 3×3 matrices through Euler rotations

Anastassakis, E

dc.contributor.author	Anastassakis, E	en
dc.date.accessioned	2014-03-01T01:15:59Z
dc.date.available	2014-03-01T01:15:59Z
dc.date.issued	2001	en
dc.identifier.issn	0096-3003	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13873
dc.subject	Characteristic Equation	en
dc.subject	Eigenvectors	en
dc.subject	Physical Properties	en
dc.subject	Symmetric Matrix	en
dc.subject.classification	Mathematics, Applied	en
dc.title	A geometrical method for diagonalizing real, symmetric 3×3 matrices through Euler rotations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0096-3003(99)00173-3	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0096-3003(99)00173-3	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	The classical problem of finding the principal values (eigenvalues) and principal axes (eigenvectors) of a physical property represented by a second-rank symmetric tensor is treated in textbooks by solving the characteristic equation associated with the 3 x 3 symmetric matrix representation. The same problem is solved here without reference to the characteristic equation. By use of Euler rotations, analytical expressions are attained for the Euler eigenangles, the eigenvalues and the eigenvectors. (C) 2001 Elsevier Science Inc. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE INC	en
heal.journalName	Applied Mathematics and Computation	en
dc.identifier.doi	10.1016/S0096-3003(99)00173-3	en
dc.identifier.isi	ISI:000166352000006	en
dc.identifier.volume	117	en
dc.identifier.issue	2-3	en
dc.identifier.spage	193	en
dc.identifier.epage	201	en