Direct Solution Method for System of Linear Equations

2011/04/29 by Anoosh Abdy, Abdy, Anoosh
Computer Science · Mathematics · #15A06 #15A09 #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.1104.5639

openalex publication_date 2011/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Direct solution of simultaneous linear equations is regarded to be slow for large systems of equations and requires special treatment to avoid numerical instability. A new method is proposed that addresses the numerical instability without any special treatments. The method uses the orthogonal matrices to achieve numerical stability.

Citations

• Unitary Triangularization of a Nonsymmetric Matrix

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