#include <libDC.h>
Public Member Functions | |
| void | opupdt (const vec &v, double w) |
| mat | to_mat () |
| Conversion to full matrix. | |
| void | mult_sym (const mat &C) |
| Inplace symmetric multiplication by a SQUARE matrix $C$, i.e. $V = C*V*C'$. | |
| void | mult_sym_t (const mat &C) |
| Inplace symmetric multiplication by a SQUARE transpose of matrix $C$, i.e. $V = C'*V*C$. | |
| void | mult_sym (const mat &C, fsqmat &U) const |
store result of mult_sym in external matrix $U$ | |
| void | mult_sym_t (const mat &C, fsqmat &U) const |
store result of mult_sym_t in external matrix $U$ | |
| void | clear () |
| Clearing matrix so that it corresponds to zeros. | |
| fsqmat () | |
| Default initialization. | |
| fsqmat (const int dim0) | |
| Default initialization with proper size. | |
| fsqmat (const mat &M) | |
| Constructor. | |
| virtual | ~fsqmat () |
| Destructor for future use;. | |
| virtual void | inv (fsqmat &Inv) |
| Matrix inversion preserving the chosen form. | |
| double | logdet () const |
| Logarithm of a determinant. | |
| double | qform (const vec &v) const |
| Evaluates quadratic form $x= v'*V*v$;. | |
| vec | sqrt_mult (const vec &v) const |
| Multiplies square root of $V$ by vector $x$. | |
| fsqmat & | operator+= (const fsqmat &A) |
| add another fsqmat matrix | |
| fsqmat & | operator-= (const fsqmat &A) |
| subtrack another fsqmat matrix | |
| fsqmat & | operator *= (double x) |
| multiply by a scalar | |
| int | cols () const |
| Reimplementing common functions of mat: cols(). | |
| int | rows () const |
| Reimplementing common functions of mat: cols(). | |
Protected Attributes | |
| mat | M |
| Full matrix on which the operations are performed. | |
| int | dim |
| dimension of the square matrix | |
Friends | |
| std::ostream & | operator<< (std::ostream &os, const fsqmat &sq) |
| print full matrix | |
This class can be used to compare performance of algorithms using decomposed matrices with perormance of the same algorithms using full matrices;
| void fsqmat::opupdt | ( | const vec & | v, | |
| double | w | |||
| ) | [virtual] |
Perfroms a rank-1 update by outer product of vectors: $V = V + w v v'$.
| v | Vector forming the outer product to be added | |
| w | weight of updating; can be negative |
Implements sqmat.
| void fsqmat::mult_sym | ( | const mat & | C | ) | [virtual] |
Inplace symmetric multiplication by a SQUARE matrix $C$, i.e. $V = C*V*C'$.
| C | multiplying matrix, |
Implements sqmat.
| void fsqmat::mult_sym_t | ( | const mat & | C | ) | [virtual] |
Inplace symmetric multiplication by a SQUARE transpose of matrix $C$, i.e. $V = C'*V*C$.
| C | multiplying matrix, |
Implements sqmat.
| void fsqmat::inv | ( | fsqmat & | Inv | ) | [virtual] |
Matrix inversion preserving the chosen form.
| Inv | a space where the inverse is stored. |
| vec fsqmat::sqrt_mult | ( | const vec & | v | ) | const [inline, virtual] |
Multiplies square root of $V$ by vector $x$.
Used e.g. in generating normal samples.
Implements sqmat.
1.5.3