Gaussian elimination is optimal for solving linear equations in dimension two

DOI10.1016/0020-0190(86)90065-7zbMath0593.65019OpenAlexW2070723543MaRDI QIDQ1076478

Thomas Lickteig

Publication date: 1986

Published in: Information Processing Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-0190(86)90065-7

zbMATH Keywords

Gaussian eliminationstraight-line programscomputationaldimension twocomplexity of rational functions

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Direct numerical methods for linear systems and matrix inversion (65F05)

Cites Work

• Gaussian elimination is not optimal
• On multiplication of 2 \(\times\) 2 matrices
• On the number of multiplications necessary to compute certain functions
• On Minimizing the Number of Multiplications Necessary for Matrix Multiplication

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