Abstract
Numerical solution methods for the simultaneous solution of large sparse sets of nonlinear algebraic equations arising from flowsheeting problems are compared. The methods are tested on a set of mathematical problems and on six flowsheet simulations. Newton and quasi-Newton methods have been significantly improved by paying attention to particular details of implementation. The best implementations of sparse quasi-Newton methods, in particular, a new sparse scale invariant method, are in general more efficient and more robust than discrete Newton methods particularly when used on flowsheeting problems.
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