Lagrange Multipliers: Difference between revisions
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This command is used to construct a LagrangeMultiplier constraint handler, which enforces the constraints by introducing | This command is used to construct a LagrangeMultiplier constraint handler, which enforces the constraints by introducing Lagrange multiplies to the system of equation. The following is the command to construct a plain constraint handler: | ||
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NOTES: | NOTES: | ||
* The | * The Lagrange multiplier method introduces new unknowns to the system of equations. The diagonal part of the system corresponding to these new unknowns is 0.0. This ensure that the system IS NOT symmetric positive definite. | ||
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Latest revision as of 07:51, 9 June 2016
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This command is used to construct a LagrangeMultiplier constraint handler, which enforces the constraints by introducing Lagrange multiplies to the system of equation. The following is the command to construct a plain constraint handler:
| constraints Lagrange <$alphaS $alphaM > |
| $alphaS | <math>\alpha_S</math> factor on singe points. optional, default = 1.0 |
| $alphaM | <math>\alpha_M</math> factor on multi-points, optional default = 1.0; |
NOTES:
- The Lagrange multiplier method introduces new unknowns to the system of equations. The diagonal part of the system corresponding to these new unknowns is 0.0. This ensure that the system IS NOT symmetric positive definite.
THEORY:
Code Developed by: fmk