QRSlv: Difference between revisions

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'''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.


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.
QRSlv divides a system into [[block partitioning|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.
 
The source code for QRSlv is at {{src|solvers/qrslv/qrslv.c}}


Add here: problem definition.
Add here: problem definition.


Add here: sample problems.
Add here: sample problems.
Add here: documentation of solver parameters
[[Category:NLA Solvers]]

Latest revision as of 11:28, 26 May 2015

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.

The source code for QRSlv is at solvers/qrslv/qrslv.c

Add here: problem definition.

Add here: sample problems.

Add here: documentation of solver parameters