SIMPLE SOLUTIONS

DIA(2RHEOLEF) - Linux man page online | System calls

Diagonal matrix.

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rheolef-6.7
dia(2rheolef) rheolef-6.7 dia(2rheolef)

NAME

dia - diagonal matrix

DESCRIPTION

The class implements a diagonal matrix. A declaration whithout any parametrers correspond to a null size matrix: dia<Float> d; The constructor can be invocated whith a ownership parameter (see distributor(2)): dia<Float> d(ownership); or an initialiser, either a vector (see vec(2)): dia<Float> d(v); or a csr matrix (see csr(2)): dia<Float> d(a); The conversion from dia to vec or csr is explicit. When a diagonal matrix is constructed from a csr matrix, the definition of the diagonal of matrix is always a vector of size row_ownership which contains the elements in rows 1 to nrow of the matrix that are contained in the diagonal. If the diagonal element falls out‐ side the matrix, i.e. ncol < nrow then it is defined as a zero entry.

PRECONDITIONER INTERFACE

The class presents a preconditioner interface, as the solver(2), so that it can be used as preconditioner to the iterative solvers suite (see pcg(4)).

IMPLEMENTATION

template<class T, class M = rheo_default_memory_model> class dia : public vec<T,M> { public: // typedefs: typedef typename vec<T,M>::size_type size_type; typedef typename vec<T,M>::iterator iterator; typedef typename vec<T,M>::const_iterator const_iterator; // allocators/deallocators: explicit dia (const distributor& ownership = distributor(), const T& init_val = std::numeric_limits<T>::max()); explicit dia (const vec<T,M>& u); explicit dia (const csr<T,M>& a); dia<T,M>& operator= (const T& lambda); // preconditionner interface: solves d*x=b vec<T,M> solve (const vec<T,M>& b) const; vec<T,M> trans_solve (const vec<T,M>& b) const; }; template <class T, class M> dia<T,M> operator/ (const T& lambda, const dia<T,M>& d); template <class T, class M> vec<T,M> operator* (const dia<T,M>& d, const vec<T,M>& x);

SEE ALSO

distributor(2), vec(2), csr(2), solver(2), pcg(4)
rheolef-6.7 rheolef-6.7 dia(2rheolef)
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refer to csr(2rheolef) | distributor(2rheolef) | pcg(4rheolef) | solver(2rheolef) | vec(2rheolef)
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