Trigonometric recurrence relations and tridiagonal trigonometric matrices

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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