SAP ABAP Data Element AFWKFPA_ITERATION_METHOD (Numeric Iteration Method)
Hierarchy
EA-FINSERV (Software Component) SAP Enterprise Extension Financial Services
   FIN-FSCM-TRM-PA (Application Component) Portfolio Analyzer
     CFM_AFWKFPA (Package) CFM Portfolio Analyzer: Key Figure Management
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
Search Help: Name    
Search Help: Parameters    
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