HLIBpro  1.2
Public Member Functions | List of all members
TRkMatrix Class Reference

Represents low rank matrices in factored form: $ M = A B^H $.

#include <TRkMatrix.hh>

Inheritance diagram for TRkMatrix:
TMatrix TLockable TTypeInfo

Public Member Functions

 TRkMatrix ()
 construct zero sized low-rank matrix
 TRkMatrix (const size_t rows, const size_t cols)
 construct low-rank matrix of size rows × cols
 TRkMatrix (const TBlockIndexSet &block_is)
 construct low-rank matrix of size defined by block index set
 TRkMatrix (const TIndexSet &arow_is, const TIndexSet &acol_is, const BLAS::Matrix< real > &A, const BLAS::Matrix< real > &B)
 TRkMatrix (const TIndexSet &arow_is, const TIndexSet &acol_is, const BLAS::Matrix< complex > &A, const BLAS::Matrix< complex > &B)
 TRkMatrix (const TBlockCluster *cluster)
 construct low-rank matrix of size defined by block cluster
 TRkMatrix (const TRkMatrix &A)
 copy constructor
 ~TRkMatrix ()
 destructor
real * matrix_A ()
 return pointer to internal matrix data of matrix A
const real * matrix_A () const
 return const pointer to internal matrix data of matrix A
complex * cmatrix_A ()
 return pointer to internal matrix data of matrix A
const complex * cmatrix_A () const
 return const pointer to internal matrix data of matrix A
real * matrix_B ()
 return pointer to internal matrix data of matrix B
const real * matrix_B () const
 return const pointer to internal matrix data of matrix B
complex * cmatrix_B ()
 return pointer to internal matrix data of matrix B
const complex * cmatrix_B () const
 return const pointer to internal matrix data of matrix B
BLAS::Matrix< real > & blas_rmat_A ()
 return pointer to internal matrix data of matrix A
const BLAS::Matrix< real > & blas_rmat_A () const
 return const pointer to internal matrix data of matrix A
BLAS::Matrix< complex > & blas_cmat_A ()
 return pointer to internal matrix data of matrix A
const BLAS::Matrix< complex > & blas_cmat_A () const
 return const pointer to internal matrix data of matrix A
BLAS::Matrix< real > & blas_rmat_B ()
 return pointer to internal matrix data of matrix B
const BLAS::Matrix< real > & blas_rmat_B () const
 return const pointer to internal matrix data of matrix B
BLAS::Matrix< complex > & blas_cmat_B ()
 return pointer to internal matrix data of matrix B
const BLAS::Matrix< complex > & blas_cmat_B () const
 return const pointer to internal matrix data of matrix B
const BLAS::Vector< real > blas_rvec_A (const idx_t i) const
 return vector A_i
const BLAS::Vector< real > blas_rvec_B (const idx_t i) const
 return vector B_i
const BLAS::Vector< complex > blas_cvec_A (const idx_t i) const
 return vector A_i
const BLAS::Vector< complex > blas_cvec_B (const idx_t i) const
 return vector B_i
const TVirtualVector vec_A (const idx_t i) const
 return vector A_i
const TVirtualVector vec_B (const idx_t i) const
 return vector B_i
size_t rank () const
 return rank of matrix
void set_rank (const size_t k)
 set rank of matrix without truncating data
void comp_rank ()
 compute actual rank of matrix (remove zero vectors)
virtual size_t rows () const
 return number of rows
virtual size_t cols () const
 return number of columns
virtual void set_cluster (const TBlockCluster *c)
 set new cluster over which matrix is defined and change size accordingly
void set_size (const size_t n, const size_t m, const size_t k)
 set size and rank of matrix (if zero == true fill new memory with zeros)
void set_size (const size_t n, const size_t m)
 set new size but keep current rank of matrix
real entry (const idx_t i, const idx_t j) const
 return real valued coefficent (i, j) of matrix
const complex centry (const idx_t i, const idx_t j) const
 return complex valued coefficent (i, j) of matrix
virtual void to_real ()
 switch to real valued storage if possible, e.g. all imaginary components zero
virtual void to_complex ()
 switch to complex valued storage
virtual void transpose ()
 transpose matrix
virtual void conjugate ()
 conjugate matrix coefficients
virtual void truncate (const TTruncAcc &acc)
 truncate matrix w.r.t. accuracy acc
void add_rank (const real alpha, const BLAS::Matrix< real > &A, const BLAS::Matrix< real > &B, const TTruncAcc &acc)
 compute this ≔ this + α·A·B^H and truncate result w.r.t. acc (real valued variant)
void add_rank (const complex alpha, const BLAS::Matrix< complex > &A, const BLAS::Matrix< complex > &B, const TTruncAcc &acc)
 compute this ≔ this + α·A·B^H and truncate result w.r.t. acc (complex valued variant)
void add_dense (const real alpha, const BLAS::Matrix< real > &D, const TTruncAcc &acc)
 add a dense matrix and truncate w.r.t. acc (real valued variant)
void add_dense (const complex alpha, const BLAS::Matrix< complex > &D, const TTruncAcc &acc)
 add a dense matrix and truncate w.r.t. acc (complex valued variant)
void copy_dense (const TDenseMatrix *A, const TTruncAcc &acc)
 copy a densematrix (nxm) as low-rank matrix (rank = min{n,m})
virtual void scale (const real f)
 scale matrix by constant factor
virtual void mul_vec (const real alpha, const TVector *x, const real beta, TVector *y, const matop_t op=MATOP_NORM) const
 compute y ≔ α·M·x + β·y, where M is either this, this^T or this^H depending on op
virtual void add (const real alpha, const TMatrix *A)
 compute this = this + α·A without truncation
virtual TRkMatrixmul_right (const real alpha, const TMatrix *B, const matop_t op_A, const matop_t op_B) const
 compute matrix product α·op_A(this)·op_B(B)
virtual TRkMatrixmul_left (const real alpha, const TMatrix *A, const matop_t op_A, const matop_t op_B) const
 compute matrix product α·op_A(A)·op_B(this)
virtual void cscale (const complex f)
 scale matrix by constant factor
virtual void cmul_vec (const complex alpha, const TVector *x, const complex beta, TVector *y, const matop_t op_A=MATOP_NORM) const
 compute y ≔ α·M·x + β·y, where M is either this, this^T or this^H depending on op
virtual void cadd (const complex a, const TMatrix *matrix)
 compute this = this + α·A without truncation
virtual TRkMatrixcmul_right (const complex alpha, const TMatrix *B, const matop_t op_A, const matop_t op_B) const
 compute matrix product α·op_A(this)·op_B(B)
virtual TRkMatrixcmul_left (const complex alpha, const TMatrix *A, const matop_t op_A, const matop_t op_B) const
 compute matrix product α·op_A(A)·op_B(this)
virtual TMatrixcreate () const
 return object of same type
virtual TMatrixcopy () const
 return copy of matrix
virtual TMatrixcopy (const TTruncAcc &acc, const bool do_coarsen=false) const
 return copy matrix wrt. given accuracy; if do_coarsen is set, perform coarsening
virtual void copy_to (TMatrix *A) const
 copy matrix into matrix A
virtual void copy_to (TMatrix *A, const TTruncAcc &acc, const bool do_coarsen=false) const
 copy matrix into matrix A with accuracy acc and optional coarsening
virtual size_t byte_size () const
 return size in bytes used by this object
virtual typeid_t type () const
 return type id of class
virtual bool is_type (const typeid_t t) const
 return true if object is of type t
virtual void read (TByteStream &s)
 read matrix from byte stream
virtual void build (TByteStream &s)
 construct matrix from byte stream
virtual void write (TByteStream &s) const
 write matrix into byte stream
virtual size_t bs_size () const
 return size of object in a bytestream
virtual void check_data () const
 test data for invalid values, e.g. INF and NAN
- Public Member Functions inherited from TMatrix
 TMatrix (const bool acomplex=false)
 construct zero sized matrix
 TMatrix (const TBlockCluster *c)
 construct matrix of size defined by block cluster c
 TMatrix (const TBlockIndexSet &bis)
 construct matrix of size defined by block cluster c
 TMatrix (const TMatrix &A)
 copy constructor
virtual ~TMatrix ()
 dtor
TIndexSet row_is () const
 return row index set
TIndexSet col_is () const
 return column index set
TBlockIndexSet block_is () const
 return block index set
virtual idx_t row_ofs () const
 return first index (number) in row
virtual idx_t col_ofs () const
 return first index (number) in column
virtual void set_ofs (const idx_t r, const idx_t c)
 set index set offsets
virtual void set_block_is (const TBlockIndexSet &is)
 set block index set of matrix
bool is_nonsym () const
 return true if matrix is unsymmetric
bool is_symmetric () const
 return true if matrix is symmetric
bool is_hermitian () const
 return true if matrix is hermitian
matform_t form () const
 return matrix format
void set_nonsym ()
 set matrix to be unsymmetric
void set_symmetric ()
 set matrix to be symmetric
void set_hermitian ()
 set matrix to be hermitian
virtual void set_form (const matform_t f)
 set matrix format
const TProcSetprocs () const
 return matrix processor set
uint nprocs () const
 return number of processors in local set
void set_procs (const TProcSet &ps)
 set processor set of matrix
virtual void copy_struct (const TMatrix *M)
bool is_real () const
 return true if matrix is real valued
bool is_complex () const
 return true if matrix is complex valued
void set_complex (const bool b, const bool force=false)
const TBlockClustercluster () const
 return corresponding block cluster of matrix
virtual size_t global_byte_size () const
virtual TVectorrow_vector () const
 return appropriate row vector object for matrix
virtual TVectorcol_vector () const
 return appropriate column vector object for matrix
virtual void sum (const TProcSet &p, const uint pid, const uint nparts, TByteStream *bs, const TTruncAcc &acc)
virtual void print (const uint ofs=0) const
 print basic info about matrix to stdout
- Public Member Functions inherited from TLockable
TMutexmutex ()
 give access to internal mutex
void lock ()
 lock local mutex of matrix
void unlock ()
 unlock local mutex of matrix
- Public Member Functions inherited from TTypeInfo
virtual String typestr () const
 return string representation of type

Constructor & Destructor Documentation

TRkMatrix ( const TIndexSet arow_is,
const TIndexSet acol_is,
const BLAS::Matrix< real > &  A,
const BLAS::Matrix< real > &  B 
)

construct low-rank matrix of size defined by block index set and real factors A and B

TRkMatrix ( const TIndexSet arow_is,
const TIndexSet acol_is,
const BLAS::Matrix< complex > &  A,
const BLAS::Matrix< complex > &  B 
)

construct low-rank matrix of size defined by block index set and complex factors A and B