NAME

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

SYNOPSIS

#include <abstract.h>

Inherits sc::DescribedClass.

Inherited by sc::BlockedSCMatrix, sc::DistSCMatrix, sc::LocalSCMatrix, and sc::ReplSCMatrix.

Public Types

enum Transform { NormalTransform = 0, TransposeTransform = 1 }

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_

Additional Inherited Members

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::accumulate (const SCMatrix * m) [pure virtual]

Sum m into this.

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

virtual void sc::SCMatrix::accumulate_outer_product (SCVector , SCVector ) [pure virtual]

Sum into this the products of various vectors or matrices.

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

virtual void sc::SCMatrix::accumulate_row (SCVector * v, int i) [pure virtual]

Sum v to a row or column of this.

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

virtual void sc::SCMatrix::accumulate_subblock (SCMatrix * m, int, int, int, int, int = 0, int = 0) [pure virtual]

Sum m into a subblock of this.

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

virtual Ref< SCMatrixSubblockIter > sc::SCMatrix::all_blocks (SCMatrixSubblockIter::Access) [pure virtual]

Returns iterators for the all blocks used in this matrix.

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

virtual void sc::SCMatrix::assign_row (SCVector * v, int i) [pure virtual]

Assign v to a row or column of this.

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

virtual void sc::SCMatrix::assign_subblock (SCMatrix * m, int, int, int, int, int = 0, int = 0) [pure virtual]

Assign m to a subblock of this.

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

virtual void sc::SCMatrix::assign_val (double val) [virtual]

Overridden to implement to assign members.

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

Referenced by assign().

virtual double sc::SCMatrix::determ_this () [pure virtual]

Return the determinant of this. this is overwritten.

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

virtual void sc::SCMatrix::element_op (const Ref< SCElementOp > &) [pure virtual]

Perform the element operation op on each element of this.

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

virtual double sc::SCMatrix::get_element (int, int) const [pure virtual]

Return or modify an element.

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

virtual SCVector * sc::SCMatrix::get_row (int i) [pure virtual]

Return a row or column of this.

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

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 double sc::SCMatrix::invert_this () [pure virtual]

Invert this.

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.

void sc::SCMatrix::print (std::ostream & o = ExEnv::out0()) const [virtual]

Print out the matrix.

Reimplemented from sc::DescribedClass.

virtual void sc::SCMatrix::save (StateOut &) [virtual]

Save and restore this in an implementation independent way.

Reimplemented in sc::BlockedSCMatrix.

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.

virtual double sc::SCMatrix::trace () [pure virtual]

Return the trace.

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

virtual void sc::SCMatrix::transpose_this () [pure virtual]

Transpose this.

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

Author

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