![\[ \begin{bmatrix} J & A \\ B^T & C \end{bmatrix} \begin{bmatrix} X \\ Y \end{bmatrix} = \begin{bmatrix} F \\ G \end{bmatrix} \]](form_350.png)
#include <LOCA_BorderedSolver_EpetraAugmented.H>
Inheritance diagram for LOCA::BorderedSolver::EpetraAugmented:
This class solves the extended system of equations
by forming an augmented Epetra_Operator representing
![\[ \begin{bmatrix} J & A \\ B^T & C \end{bmatrix} \]](form_379.png)
by creating a new Epetra_Map for the additional equations.
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Constructor.
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Computed extended matrix-multivector product. Computes
Implements LOCA::BorderedSolver::AbstractStrategy. |
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Solves the extended system using the technique described above. The params argument is the linear solver parameters. If isZeroF or isZeroG is true, than the corresponding F or G pointers may be NULL. Note that if either the A or B blocks are zero, the system is solved using a simple block elimination scheme instead of the Householder scheme. Implements LOCA::BorderedSolver::AbstractStrategy. |
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Computed extended matrix transpose-multivector product. Computes
Implements LOCA::BorderedSolver::AbstractStrategy. |
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Intialize solver for a solve. This should be called after setMatrixBlocks(), but before applyInverse(). Implements LOCA::BorderedSolver::AbstractStrategy. |
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Intialize solver for a transpose solve. This should be called after setMatrixBlocks(), but before applyInverseTranspose(). Implements LOCA::BorderedSolver::AbstractStrategy. |
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Set blocks.
The Implements LOCA::BorderedSolver::AbstractStrategy. |
1.3.9.1
![\[ \begin{bmatrix} U \\ V \end{bmatrix} = \begin{bmatrix} J & A \\ B^T & C \end{bmatrix} \begin{bmatrix} X \\ Y \end{bmatrix} = \begin{bmatrix} J*X + A*Y \\ B^T*X + C*Y \end{bmatrix}. \]](form_366.png)
![\[ \begin{bmatrix} U \\ V \end{bmatrix} = \begin{bmatrix} J^T & B \\ A^T & C \end{bmatrix} \begin{bmatrix} X \\ Y \end{bmatrix} = \begin{bmatrix} J^T*X + B*Y \\ A^T*X + C^T*Y \end{bmatrix}. \]](form_367.png)