Computing system using newton-raphson method

Details Computing system using newton-raphson method Computing system using newton-raphson method

2007-03-13

2007-03-13

Mai, Tan V. (Department: 2193)

Electrical computers: arithmetic processing and calculating

Electrical digital calculating computer

Particular function performed

C708S605000

Reexamination Certificate

active

10168430

ABSTRACT:
A dividing circuit and square root extracting circuit using the Newton-Raphson method. The number of places of an initial value of the Newton-Raphson method is decreased, and a part of a multiplier is omitted. Therefore the circuit scale is reduced. A circuit dedicated for the iterated computation circuit for the Newton-Raphson method is mounted, enabling the whole circuits to operate as a pipeline circuit. By cut-off in expanding an iterative operation to a series operation, use of a table, adoption of approximation mode for deriving an initial value, and adoption of redundant expression for computation, higher speed operation and reduction of circuit scale are possible.

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Ogata et al, “Design Of Reciprocal Calculation Circuit For FPGA”, Technical Report of IEICE, VLD98-106, CPSY98-126 (Dec. 1998).

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