The complex step method for approximating the Fréchet derivative of matrix functions in automorphism groups
DOI:
https://doi.org/10.14464/gammas.v4i1.493Abstract
We show, that the Complex Step approximation to the Fréchet derivative of matrix functions is applicable to the matrix sign, square root and polar mapping using iterative schemes. While this property was already discovered for the matrix sign using Newtons method, we extend the research to the family of Padé iterations, that allows us to introduce iterative schemes for finding function and derivative values while approximately preserving automorphism group structure.Downloads
Published
2022-11-04
How to Cite
Werner, T. (2022). The complex step method for approximating the Fréchet derivative of matrix functions in automorphism groups. GAMM Archive for Students, 4(1). https://doi.org/10.14464/gammas.v4i1.493
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Copyright (c) 2022 Tom Werner

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