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.
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