Determinant-Only Orthogonalization and Unitarization: Invariance of the Final Gram–Schmidt Determinant

A proof, in every dimension, that complex orthogonalization and unitarization by Gram–Schmidt share the same final determinant, with determinant-only constructions of SU(n), SO(n, ℂ) and SU(p, q) matrices.

Authors

Sung-tae Lim

Publication Details

Journal: Zenodo (CERN European Organization for Nuclear Research)
Published: 2026-11-03
DOI: https://doi.org/10.5281/zenodo.23911297
Primary Topic: Matrix Theory and Algorithms
Type: article
Field-Weighted Citation Impact: 0.00

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article

Determinant-Only Orthogonalization and Unitarization: Invariance of the Final Gram–Schmidt Determinant

Sung-tae Lim

Nov 3, 2026

Zenodo (CERN European Organization for Nuclear Research)

Matrix Theory and Algorithms

article

Determinant-Only Orthogonalization and Unitarization: Invariance of the Final Gram–Schmidt Determinant

Sung-tae Lim

November 3, 2026article en

Abstract

Zenodo (CERN European Organization for Nuclear Research)

Openalex Percentile: Top 16%

Matrix Theory and Algorithms

DOI Open Access PDF OpenAlex

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Determinant-Only Orthogonalization and Unitarization: Invariance of the Final Gram–Schmidt Determinant — Sung-tae Lim · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS