Analysis of error propagation in the ABS class for linear systems

DOI10.1007/BF00053375zbMath0768.65007MaRDI QIDQ1206616

Aurel Galantai

Publication date: 1 April 1993

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

error propagationnumerical stabilitydirect methodsbackward error analysisAbaffy-Broyden- Spedicato methodoptimally stable methods

Mathematics Subject Classification ID

Roundoff error (65G50) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (2)

A bibliography of the ABS methods ⋮ General solution of full row rank linear systems of equations using a new compression ABS model

Cites Work

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• On the numerical stability of Huang's and related methods
• On rank-diminishing operations and their applications to the solution of linear equations
• A class of direct methods for linear systems
• Numerical stability of descent methods for solving linear equations
• Roundoff-error analysis of a new class of conjugate-gradient algorithms
• Conjugate direction methods for solving systems of linear equations
• Error Propagation in Numerical Processes

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