On rank-diminishing operations and their applications to the solution of linear equations

DOI10.1007/BF01604497zbMath0102.11401OpenAlexW1987503627MaRDI QIDQ774576

E. von Egervary

Publication date: 1960

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01604497

zbMATH Keywords

numerical analysis

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Über eine Methode zur numerischen Lösung der Poissonschen Differenzengleichung für beliebige Gebiete
• The Vector Method of Solving Simultaneous Linear Equations
• Über die Faktorisation von Matrizen und ihre Anwendung auf die Lösung von linearen Gleichungssystemen