Linear Systems of Equatiosn
The following methods provide the solution of the linear system of equations \(Ku = P\). Each solver is tailored to a specific matrix topology.
- Profile SPD – Direct profile solver for symmetric positive definite matrices
- Band General – Direct solver for banded unsymmetric matrices
- Band SPD – Direct solver for banded symmetric positive definite matrices
- Sparse General – Direct solver for unsymmetric sparse matrices
- Sparse Symmetric – Direct solver for symmetric sparse matrices
- UmfPack General – Direct UmfPack solver for unsymmetric matrices
- Full General – Direct solver for unsymmetric dense matrices
- Conjugate Gradient – Iterative solver using the preconditioned conjugate gradient method
the system Tcl command is used to construct the
LinearSOE and LinearSolver objects to store
and solve the system of equations in the analysis.