Trigonometric recurrence relations and tridiagonal trigonometric matrices

Warning

This publication doesn't include Institute of Computer Science. It includes Faculty of Science. Official publication website can be found on muni.cz.

Authors	DOŠLÝ Ondřej PECHANCOVÁ Šárka
Year of publication	2006
Type	Article in Periodical
Magazine / Source	Int. J. Difference Equ.
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	Three-term recurrence relation; symplectic difference system; trigonometric transformation; trigonometric system; Sturm-Liouville difference equation
Description	It is shown that every tridiagonal symmetric matrix can be transformed by a special transformation into the so-called tridiagonal trigonometric matrix. The relationship of this transformation to 2 times 2 trigonometric symplectic system and to three-term trigonometric recurrence relations is discussed as well.
Related projects:	Difference Equations and Dynamic Equations on Time Scales. Mathematical structures and their physical applications