Computation of Real-Valued Basis Functions which Transform as Irreducible Representations of the Polyhedral Groups

DOI10.1137/20M1318183zbMath1482.92046arXiv1701.01348MaRDI QIDQ5165442

Nan Xu, Peter C. Doerschuk

Publication date: 16 November 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.01348

zbMATH Keywords

polyhedral groupsbasis functions that transform as a row of an irreducible representation of a rotation groupclassical groups (02.20.Hj)numerical computation of similarity transformationsreal-valued matrix irreducible representationsspecial functions (02.30.Gp)

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Biomedical imaging and signal processing (92C55) Finite transformation groups (57S17) Polynomials, rational functions in real analysis (26C99)

Uses Software

• Matlab
• DLMF
• EMan
• Chimera
• ClusterES
• Bilbao Crystallography Server
• RELION

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