Hierarchy

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Basic Data
Data Element | AFWKFPA_ITERATION_METHOD |
Short Description | Numeric Iteration Method |
Data Type
Category of Dictionary Type | D | Domain |
Type of Object Referenced | No Information | |
Domain / Name of Reference Type | AFWKFPA_ITERATION_METHOD | |
Data Type | CHAR | Character String |
Length | 2 | |
Decimal Places | 0 | |
Output Length | 2 | |
Value Table |
Further Characteristics
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Parameter ID | ||
Default Component name | ||
Change document | ||
No Input History | ||
Basic direction is set to LTR | ||
No BIDI Filtering |
Field Label
Length | Field Label | |
Short | 10 | Method |
Medium | 20 | Iteration Method |
Long | 40 | Numeric Iteration Method |
Heading | 40 | Numeric Iteration Method |
Documentation
Definition
Numeric procedure for determining all the zero positions in a polynomial.
In the standard method, the zero positions are determined by repeated application of Newton's method. In this case, the initial value is incremented along a specified interval, whereby the increments increase successively the nearer they are to the interval boundaries. Usually, this procedure only finds the zero positions within this interval.
Muller's method supplies all the zero positions for a polynomial, and the initial value does not need to be known. This procedure successively determines approximated values xi of the zero positions in the initial polynomial pn(x), starting with the absolute zero position closest to the origin, x1. This is done by calculating the zero positions of the quadratic interpolation polynomial belonging to the initial polynomial. Division of pn(x) by (x - x1) using the Horner method results in pn-1(x), the value of which roughly corresponds to the deflation polynomial pn-1(x). The procedure is continued with pn-1(x) and x1, which supplies an approximation for the second zero position x2, which is again the absolute zero position closest to the origin, and so on. The approximated values determined in this way are then reiterated using Newton's method in order to further improve the accuracy of the values.
History
Last changed by/on | SAP | 20011002 |
SAP Release Created in | 463_20 |