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TMtx.Sylvester Method
TMtx Class | TMtx Members | MtxVec Namespace | public
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Solves the Sylvester equation.

Pascal
function Sylvester(const A: TMtx; const B: TMtx; const C: TMtx; ASign: TSign = siPlus; AOp: TMtxOperation = opNone; BOp: TMtxOperation = opNone): double; overload;
Description

Solves the Sylvester's equation: 

 

 

for real quasi-triangular or complex triangular matrices A and B. The solution (X) overwrites the C matrix. The AOp and BOp parameters indicate the operation(op) performed on A and B respectively. The TSign of the Sylvester equation is determined with the ASign parameter (siPlus for +, siMinus for -). The result of a Sylvester function is a scale factor a. The A and B matrices Quadratic property must be true, otherwise an exception is raised.

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