# sc::SCMatrix Class Reference

The SCMatrix class is the abstract base class for general double valued n by m matrices. More...

`#include <abstract.h>`

Inheritance diagram for sc::SCMatrix:

List of all members.

## Public Types

enum | Transform { NormalTransform = 0, TransposeTransform = 1 }

## Public Member Functions

| SCMatrix (const RefSCDimension &, const RefSCDimension &, SCMatrixKit *)
virtual void | save (StateOut &)
| Save and restore this in an implementation independent way.
virtual void | restore (StateIn &)
Ref< SCMatrixKit > | kit () const
| Return the SCMatrixKit used to create this object.
int | nrow () const
| Return the number of rows.
int | ncol () const
| Return the number of columns.
virtual double | maxabs () const
| Return the maximum absolute value element.
virtual void | randomize ()
| Assign each element to a random number between -1 and 1.
void | assign (double val)
| Set all elements to val.
void | assign (const double *m)
| Assign element i, j to m[ir*nrow()+j].
void | assign (const double **m)
| Assign element i, j to m[i][j].
void | assign (SCMatrix *m)
| Make this have the same elements as m. The dimensions must match.
virtual void | assign_val (double val)
| Overridden to implement to assign members.
virtual void | assign_p (const double *m)
virtual void | assign_pp (const double **m)
virtual void | assign_r (SCMatrix *m)
virtual void | convert (double *) const
| Like the assign members, but these write values to the arguments.
virtual void | convert (double **) const
virtual void | convert (SCMatrix *)
| Convert an SCMatrix of a different specialization to this specialization and possibly accumulate the data.
virtual void | convert_accumulate (SCMatrix *)
virtual void | scale (double val)
| Multiply all elements by val.
virtual void | scale_diagonal (double val)
| Scale the diagonal elements by val.
virtual void | shift_diagonal (double val)
| Shift the diagonal elements by val.
virtual void | unit ()
| Make this equal to the unit matrix.
virtual SCMatrix * | copy ()
| Return a matrix with the same dimension and same elements.
virtual SCMatrix * | clone ()
| Return a matrix with the same dimension but uninitialized memory.
RefSCDimension | rowdim () const
| Return the row or column dimension.
RefSCDimension | coldim () const
virtual double | get_element (int, int) const =0
| Return or modify an element.
virtual void | set_element (int, int, double)=0
virtual void | accumulate_element (int, int, double)=0
virtual SCMatrix * | get_subblock (int br, int er, int bc, int ec)=0
| Return a subblock of this.
virtual void | assign_subblock (SCMatrix *m, int, int, int, int, int=0, int=0)=0
| Assign m to a subblock of this.
virtual void | accumulate_subblock (SCMatrix *m, int, int, int, int, int=0, int=0)=0
| Sum m into a subblock of this.
virtual SCVector * | get_row (int i)=0
| Return a row or column of this.
virtual SCVector * | get_column (int i)=0
virtual void | assign_row (SCVector *v, int i)=0
| Assign v to a row or column of this.
virtual void | assign_column (SCVector *v, int i)=0
virtual void | accumulate_row (SCVector *v, int i)=0
| Sum v to a row or column of this.
virtual void | accumulate_column (SCVector *v, int i)=0
virtual void | accumulate (const SCMatrix *m)=0
| Sum m into this.
virtual void | accumulate (const SymmSCMatrix *m)=0
virtual void | accumulate (const DiagSCMatrix *m)=0
virtual void | accumulate (const SCVector *)=0
virtual void | accumulate_outer_product (SCVector *, SCVector *)=0
| Sum into this the products of various vectors or matrices.
void | accumulate_product (SCMatrix *m1, SCMatrix *m2)
void | accumulate_product (SCMatrix *m1, SymmSCMatrix *m2)
void | accumulate_product (SCMatrix *m1, DiagSCMatrix *m2)
void | accumulate_product (SymmSCMatrix *m1, SCMatrix *m2)
void | accumulate_product (DiagSCMatrix *m1, SCMatrix *m2)
void | accumulate_product (SymmSCMatrix *m1, SymmSCMatrix *m2)
virtual void | accumulate_product_rr (SCMatrix *, SCMatrix *)=0
virtual void | accumulate_product_rs (SCMatrix *, SymmSCMatrix *)
virtual void | accumulate_product_rd (SCMatrix *, DiagSCMatrix *)
virtual void | accumulate_product_sr (SymmSCMatrix *, SCMatrix *)
virtual void | accumulate_product_dr (DiagSCMatrix *, SCMatrix *)
virtual void | accumulate_product_ss (SymmSCMatrix *, SymmSCMatrix *)
virtual void | transpose_this ()=0
| Transpose this.
virtual double | trace ()=0
| Return the trace.
virtual double | invert_this ()=0
| Invert this.
virtual double | determ_this ()=0
| Return the determinant of this. this is overwritten.
virtual void | svd_this (SCMatrix *U, DiagSCMatrix *sigma, SCMatrix *V)
| Compute the singular value decomposition for this, possibly destroying this.
virtual double | solve_this (SCVector *)=0
virtual void | gen_invert_this ()
virtual void | schmidt_orthog (SymmSCMatrix *, int n)=0
| Schmidt orthogonalize this.
virtual int | schmidt_orthog_tol (SymmSCMatrix *, double tol, double *res=0)=0
| Schmidt orthogonalize this.
virtual void | element_op (const Ref< SCElementOp > &)=0
| Perform the element operation op on each element of this.
virtual void | element_op (const Ref< SCElementOp2 > &, SCMatrix *)=0
virtual void | element_op (const Ref< SCElementOp3 > &, SCMatrix *, SCMatrix *)=0
void | print (std::ostream &o=ExEnv::out0()) const
| Print out the matrix.
void | print (const char *title=0, std::ostream &out=ExEnv::out0(), int=10) const
virtual void | vprint (const char *title=0, std::ostream &out=ExEnv::out0(), int=10) const =0
Ref< MessageGrp > | messagegrp () const
| Returns the message group used by the matrix kit.
virtual Ref< SCMatrixSubblockIter > | local_blocks (SCMatrixSubblockIter::Access)=0
| Returns iterators for the local (rapidly accessible) blocks used in this matrix.
virtual Ref< SCMatrixSubblockIter > | all_blocks (SCMatrixSubblockIter::Access)=0
| Returns iterators for the all blocks used in this matrix.

## Protected Attributes

RefSCDimension | d1
RefSCDimension | d2
Ref< SCMatrixKit > | kit_

## Detailed Description

The SCMatrix class is the abstract base class for general double valued n by m matrices.

For symmetric matrices use SymmSCMatrix and for diagonal matrices use DiagSCMatrix.

## Member Function Documentation

virtual void sc::SCMatrix::convert | ( | double * |  | ) | const`[virtual]`

Like the assign members, but these write values to the arguments.

virtual void sc::SCMatrix::convert | ( | SCMatrix * |  | ) | `[virtual]`

Convert an SCMatrix of a different specialization to this specialization and possibly accumulate the data.

virtual SCMatrix* sc::SCMatrix::get_subblock | ( | int | br,
|  | int | er,
|  | int | bc,
|  | int | ec
| ) |  | `[pure virtual]`

Return a subblock of this.

The subblock is defined as the rows starting at br and ending at er, and the columns beginning at bc and ending at ec.

Implemented in sc::BlockedSCMatrix, sc::DistSCMatrix, sc::LocalSCMatrix, and sc::ReplSCMatrix.

virtual Ref<SCMatrixSubblockIter> sc::SCMatrix::local_blocks | ( | SCMatrixSubblockIter::Access |  | ) | `[pure virtual]`

Returns iterators for the local (rapidly accessible) blocks used in this matrix.

Implemented in sc::BlockedSCMatrix, sc::DistSCMatrix, sc::LocalSCMatrix, and sc::ReplSCMatrix.

virtual void sc::SCMatrix::schmidt_orthog | ( | SymmSCMatrix * | ,
|  | int | n
| ) |  | `[pure virtual]`

Schmidt orthogonalize this.

S is the overlap matrix. n is the number of columns to orthogonalize.

Implemented in sc::BlockedSCMatrix, sc::DistSCMatrix, sc::LocalSCMatrix, and sc::ReplSCMatrix.

virtual int sc::SCMatrix::schmidt_orthog_tol | ( | SymmSCMatrix * | ,
|  | double | tol,
|  | double * | res = `0`
| ) |  | `[pure virtual]`

Schmidt orthogonalize this.

S is the overlap matrix. tol is the tolerance. The number of linearly independent vectors is returned.

Implemented in sc::BlockedSCMatrix, sc::DistSCMatrix, sc::LocalSCMatrix, and sc::ReplSCMatrix.

virtual void sc::SCMatrix::svd_this | ( | SCMatrix * | U,
|  | DiagSCMatrix * | sigma,
|  | SCMatrix * | V
| ) |  | `[virtual]`

Compute the singular value decomposition for this, possibly destroying this.

Reimplemented in sc::BlockedSCMatrix, sc::LocalSCMatrix, and sc::ReplSCMatrix.

The documentation for this class was generated from the following file:

- abstract.h