QRSlv: Difference between revisions
No edit summary |
No edit summary |
||
| Line 2: | Line 2: | ||
{{stub}} | {{stub}} | ||
'''QRSlv''' is a nonlinear algebraic equation solver based on the paper ''A Modified Least Squares Algorithm for Solving Sparse NxN Sets of Nonlinear Equations'' by A. Westerberg and S. Director ( | '''QRSlv''' is a nonlinear algebraic equation solver based on the paper ''A Modified Least Squares Algorithm for Solving Sparse NxN Sets of Nonlinear Equations'' by A. Westerberg and S. Director {{doi|10.1016/0098-1354(78)80011-8}}. | ||
'''QRSlv''' is the primary [[NLA]] solver for ASCEND. It can solve systems of nonlinear algebraic equation, but it is not suitable for [[optimisation]] problems containing [[MAXIMIZE]] or [[MINIMIZE]] statements (for those, [[IPOPT]] or [[CONOPT]] are suggested). It is also not suitable for [[conditional modelling]] problems. | '''QRSlv''' is the primary [[NLA]] solver for ASCEND. It can solve systems of nonlinear algebraic equation, but it is not suitable for [[optimisation]] problems containing [[MAXIMIZE]] or [[MINIMIZE]] statements (for those, [[IPOPT]] or [[CONOPT]] are suggested). It is also not suitable for [[conditional modelling]] problems. | ||
Revision as of 03:59, 22 December 2010
| NLA |
|---|
| QRSlv |
| CMSlv |
| IPSlv |
| NLP |
| CONOPT |
| IPOPT |
| TRON |
| MINOS |
| Opt |
| NGSlv |
| DAE/ODE |
| IDA |
| LSODE |
| DOPRI5 |
| RADAU5 |
| LA |
| Linsolqr |
| Linsol |
| LP |
| MakeMPS |
| Logic |
| LRSlv |
QRSlv is a nonlinear algebraic equation solver based on the paper A Modified Least Squares Algorithm for Solving Sparse NxN Sets of Nonlinear Equations by A. Westerberg and S. Director doi:10.1016/0098-1354(78)80011-8.
QRSlv is the primary NLA solver for ASCEND. It can solve systems of nonlinear algebraic equation, but it is not suitable for optimisation problems containing MAXIMIZE or MINIMIZE statements (for those, IPOPT or CONOPT are suggested). It is also not suitable for conditional modelling problems.
QRSlv divides a system into precedence-ordered 'blocks' which are solved one-by-one using a powerful Newton-style iterative solver. It provides a number of algorithms for scaling and reordering the equations for efficient solution.
Add here: problem definition.
Add here: sample problems.