A Method for Fast Diagonalization of a 2x2 or 3x3 Real Symmetric Matrix

2013/06/26 by M. J. Kronenburg, Kronenburg, M. J. · 1 citation
Engineering · #Advanced optical system design #FOS: Computer and information sciences #FOS: Mathematics #Mathematical Software (cs.MS) #Numerical Analysis (math.NA) #Optical Polarization and Ellipsometry #Photonic and Optical Devices #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1306.6291

openalex publication_date 2013/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A method is presented for fast diagonalization of a 2x2 or 3x3 real symmetric matrix, that is determination of its eigenvalues and eigenvectors. The Euler angles of the eigenvectors are computed. A small computer algebra program is used to compute some of the identities, and a C++ program for testing the formulas has been uploaded to arXiv.

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