Determining the equivalence of two sets of simultaneous...

Details Determining the equivalence of two sets of simultaneous... Determining the equivalence of two sets of simultaneous...

2006-05-09

2006-05-09

Ingberg, Todd (Department: 2193)

Electrical computers: arithmetic processing and calculating

Electrical digital calculating computer

Particular function performed

C708S160000

Reexamination Certificate

active

07043510

ABSTRACT:
A computer implemented method (200) is described for determining the equivalence of two sets of simultaneous linear algebraic equations. Each of said equations is of a form:in-line-formulae description="In-line Formulae" end="lead"?ei1x1+ei2x2+ei3x3+in-line-formulae description="In-line Formulae" end="tail"?in-line-formulae description="In-line Formulae" end="lead"?. . . +eiixn=biin-line-formulae description="In-line Formulae" end="tail"?where xjare unknowns, eijare coefficients and biare quantities, and defining the relationship between the unknowns within the set. The coefficients and quantities are known algebraic expressions. The unknowns are iteratively eliminated (250to280) from each of the sets of simultaneous linear algebraic equations until each of said equations are in the form:in-line-formulae description="In-line Formulae" end="lead"?(lii)kxi=(ri)kin-line-formulae description="In-line Formulae" end="tail"?wherein liiand riare algebraic expressions, and k={1;2} indicate one of said sets that said equation is derived from. The products (lii)1*(ri)2and (lii)2*(ri)1are compared (300) for each of the unknowns. Only if the products match (310) for all the unknowns are the two sets of simultaneous linear algebraic equations equivalent (312). An apparatus (100) for performing the above method (200) is also provided.

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