MathSparseArrayBase Entity Reference

Inherits Eigen::SparseMatrix< Scalar >.

List of all members.

Libraries
MathSparseArrayBase
	constructs a nrow*ncol matrix

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Detailed Description

template<typename Scalar>
class tngmath::MathSparseArrayBase< Scalar >

A class that represents storage for sparse linalg objects.

The storage scheme is column_major (FORTRAN). It basically provides basic features of the Eigen::SparseMatrix class, i.e. basic operators and assembly methods.

The storage scheme is described in the Eigen doc in detail. It should be noted that one can view any column_major sparse matrix as a set of 'ncols' sparse vectors. The sparse vectors are labeled by the index i ("outer iterator"), the access of the elements within these vectors is labeled by the Eigen::InnerIterator object it ("inner iterator"/ "inner loop").

The following methods can be used for storage:

(1) Sorted fill (fastest)

                                SparseMatrix\<double,ColMajor> m(rows,cols);
                                m.startFill(rows*cols*percent_of_non_zero); // estimate of the number of nonzeros (optional)
                                for (int j=0; j\<cols; ++j)
                                        for (int i=0; i\<rows; ++i)
                                                if (rand()\<percent_of_non_zero)
                                                        m.fill(i,j) = rand();
                                m.endFill();

One has to fill the elements according to their internal index sort order (2) Fill by random inner access Herein one has to fill each outer index in its given sort order, but may fill the items into the currently active sparse vector in random order:

                                SparseMatrix\<double,ColMajor> m(rows,cols);
                                m.startFill(rows*cols*percent_of_non_zero); // estimate of the number of nonzeros (optional)
                                for (int k=0; k\<cols; ++k)
                                for (int i=0; i\<rows*percent_of_non_zero; ++i)
                                        m.fillrand(i,rand(0,cols)) = rand();
                                m.endFill();

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Constructor & Destructor Documentation

[Library]

destructor copy constructor

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

• modules/tngmath/tngmath/sparsematrixbase.hpp