Abstract of Dissertation Presented to the Graduate Council
of the University of Florida in Partial Fulfillment of the Requirements
 for the Degree of Doctor of Philosophy



 AUTOMATIC GENERATION OF SOLUTION PROCEDURES
 FOR INDEXED EQUATION SETS USING GENIE

 By

 Gary Louis Allen

 June, 1974

Chairman: Arthur W. Westerberg
Major Department: Chemical Engineering

 Chemical engineering design and simulation problems generally

involve solving simultaneously a large number of equations. Many

algorithms are available for structurally analyzing a set of equations

with the goal of developing a solution procedure for the equations.

Some of these algorithms have been implemented in a package of

computer programs called "GENDER," an acronym for General Engineering

Design Routines.

 Many chemical engineering processes are ma.iherr,atica'iiy mindeled

with indexed equations. The index ranges are often largo, resulting

in very large numbers of equations to be solved simultaneously.

Conventional algorithms, such as those in GENDER, require that each

equation to be analyzed by explicitly represented. This in itself is

a difficult chore for indexed equations with large index ranges. A

second shortcoming of existing algorithms is the time required to

analyze such a large set of equations.