Decomposition Formulas for cosine and sine operator functions

Author: jemal rogava
Co-authors: Jemal Rogava, Mikheil Tsiklauri
Keywords: decomposition formulas, cosine and sine operator functions
Annotation:

Decomposition formulas are constructed for the cosine and sine operator functions on the basis of the well-known trigonometric formulas. Validity of these formulas are proved for the case when the argument is a sum of two bounded operator. The paper offers the algorithm which allows to build any high-order precision splitting formula for cosine operator function. More precisely, the algorithm allows to obtain 2p+2 (p is an natural number) order splitting formula from 2p order splitting formula.

Lecture files:

Decomposition formulas for cosine and sine operator functions [ka]
დეკომპოზიციის ფორმულები კოსინუს და სინუს ოპერატორ ფუნქციებისთვის [ka]