%File: ~/OOP/system_of_eqn/linearSOE/profileSPD/ProfileSPDLinSubstrSolver.tex
%What: "@(#) ProfileSPDLinSubstrSolver.tex, revA"

UNDER CONSTRUCTION

\noindent {\bf Files}   \\
\indent \#include $<\tilde{
}$/system\_of\_eqn/linearSOE/profileSPD/ProfileSPDLinSubstrSolver.h$>$ \\ 

\noindent {\bf Class Decleration}  \\
\indent class ProfileSPDLinSubstrSolver: public DomainSolver, public
ProfileSPDLinSubstrSolver  \\ 

\noindent {\bf Class Hierarchy} \\
\indent  MovableObject \\
\indent\indent  Solver \\
\indent\indent\indent  LinearSOESolver \\
\indent\indent\indent\indent  DomainSolver \\
\indent\indent\indent\indent  ProfileSPDLinDirectSolver \\
\indent\indent\indent\indent\indent {\bf ProfileSPDLinSubstrSolver} \\

\noindent {\bf Description}  \\
\indent A ProfileSPDLinSubstrSolver object will perform the numerical
substructuring operations on a ProfileSPDLinSOE object. EXPAND. \\

\noindent {\bf Interface}  \\
\indent\indent // Constructor  \\
\indent\indent {\em ProfileSPDLinSubstrSolver(double tol = 1.0e-12);}  \\ \\
\indent\indent // Destructor  \\
\indent\indent {\em $\tilde{ }$ProfileSPDLinSubstrSolver();}\\ \\
\indent\indent // Public Methods \\
\indent\indent {\em int condenseA(int numInt);} \\
\indent\indent {\em int condenseRHS(int numInt, Vector *u = 0);} \\
\indent\indent {\em int computeCondensedMatVect(int numInt, Vector \&u);} \\
\indent\indent {\em Matrix \&getCondensedA(void);} \\
\indent\indent {\em Vector \&getCondensedRHS(void);} \\
\indent\indent {\em Vector \&getCondensedMatVect(void);} \\
\indent\indent {\em int setComputedXext(const Vector \&u);} \\
\indent\indent {\em  int solveXint(void);} \\






\noindent {\bf Constructor}  \\
\indent {\em ProfileSPDLinSubstrSolver(double tol = 1.0e-12);}  \\

\noindent {\bf Destructor} \\
\indent {\em $\tilde{ }$ProfileSPDLinSubstrSolver();}\\ 

\noindent {\bf Public Methods}  \\
\indent {\em int condenseA(int numInt);} \\
Causes the condenser to form $A_{ee}^* = A_{ee} -A_{ei} A_{ii}^{-1} A_{ie}$, where
$A_{ii}$ is the first {\em numInt} rows of the $A$ matrix.  The
original $A$ is changed as a result. $A_{ee}^*$ is to be stored in $A_{ee}$. \\

{\em int condenseRHS(int numInt);} \\
Causes the condenser to form $B_e^* = B_e - A_{ei} A_{ii}^{-1} B_i$, where $A_{ii}$ 
is the first {\em numInt} rows of $A$. The original $B$ is changed as a result. 
$B_e^*$ is to be stored in $B_e$. \\

{\em int computeCondensedMatVect(Vector \&u, int numInt);} \\
Causes the condenser to form $A_{ee} u$. \\

{\em Matrix \&getCondensedA(void);} \\
Returns the contents of $A_{ee}$ as a matrix. \\

{\em Vector \&getCondensedRHS(void);} \\
Returns the contents of $B_e$ as a Vector. \\

{\em Vector \&getCondensedMatVect(void);} \\
Returns the contents of the last call to {\em
computeCondensedMatVect()}. \\

{\em int setComputedXext(const Vector \&u);} \\
Sets the computed value of the unknowns in $X_e$ corresponding to the
external equations to {\em u}. The number of external equations is
given by the size of vector $u$.\\

{\em  int solveXint(void);} \\
To compute the internal equation numbers $X_i$ given the value set
for the external equations in the last call to {\em setComputedXext()}. \\


