Optimal initial approximations for the Newton-Raphson division algorithm

DOI10.1007/BF02307376zbMath0809.65004MaRDI QIDQ1340865

J. Omar, Earl E. jun. Swartzlander, Michael J. Schulte

Publication date: 20 December 1994

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

iterative algorithmnumerical examplesinitial approximationNewton-Raphson division algorithm

Mathematics Subject Classification ID

Algorithms for approximation of functions (65D15)

Related Items (3)

A software interface and hardware design for variable-precision interval arithmetic ⋮ Mathematical model of stored logic based computation ⋮ Choosing starting values for certain Newton-Raphson iterations

Cites Work

• Minimum relative error approximations for 1/t
• Optimal value for the Newton-Raphson division algorithm
• Optimal absolute error starting values for Newton-Raphson calculation of square root
• The IBM System/360 Model 91: Floating-Point Execution Unit
• A Note on the Basic Block Diagrams of Finite Automata from the Engineering Point of View
• Optimal starting values for Newton-Raphson calculation of √x ^½
• On Division by Functional Iteration

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