On the Calculation of Analytic Functions of Cyclic Matrices
- 1 March 1962
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 3 (2) , 340-345
- https://doi.org/10.1063/1.1703810
Abstract
Recently Löwdin, Pauncz, and de Heer, have discussed the calculation of functions of cyclic matrices. They presented three exact methods for doing this. We show that the last of their methods can be generalized to a method which is convenient for approximate calculations and which in addition can be extended to the calculation of functions of higher order cyclic matrices. A number of examples are presented. It is also shown that by the same techniques it is possible to evaluate functions of a skew circulant matrix.Keywords
This publication has 2 references indexed in Scilit:
- Solution of the Functional Differential Equation for the Statistical Equilibrium of a CrystalPhysical Review B, 1961
- On the Calculation of the Inverse of the Overlap Matrix in Cyclic SystemsJournal of Mathematical Physics, 1960