A method to approximate the hyperbolic sine of a matrix

Emilio Defez Candel,Jorge Sastre,Jacinto Javier Ibáñez González,Jesús Peinado Pinilla,Michael M. Tung

A method to approximate the hyperbolic sine of a matrix

2014

Emilio Defez Candel
Jorge Sastre
Jacinto Javier Ibáñez González
Jesús Peinado Pinilla
Michael M. Tung

In this paper a method for computing hyperbolic matrix sine based on Hermite matrix polynomial expansions is presented. An error bound analysis is given.

Keywords:

Pascal matrix
Matrix polynomial
Matrix function
Convergent matrix
Characteristic polynomial
Symmetric matrix
Discrete mathematics
Polynomial matrix
Mathematical analysis
Square matrix
Mathematics
Nonnegative matrix

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