ドキュメントセクション
MQL5 リファレンス行列とベクトルのメソッドOpenBLASReductionsReflectBidiagonalToQP 

ReflectBidiagonalToQP

Generates orthogonal matrices Q and P**T (or P**H for complex types) determined by ReduceToBidiagonal method when reducing a real or complex matrix A to bidiagonal form: A = Q * B * P**T.  Q and P**T are defined as products of elementary reflectors H(i) or G(i) respectively. Lapack functions ORGBR, UNGBR.

As input is used transformed matrix reflect_qp with the same sizes m-by-n as in original matrix A.

Computing for type matrix<double>

bool  matrix::ReflectBidiagonalToQP(
  vector&       tau_q,        // scalar factors of the elementary reflectors Q
  vector&       tau_p,        // scalar factors of the elementary reflectors P
  matrix&       Q,           // matrix Q
  matrix&         PT           // transposed matrix P
  );

Computing for type matrix<float>

bool  matrix::ReflectBidiagonalToQP(
  vectorf&     tau_q,        // scalar factors of the elementary reflectors Q
  vectorf&     tau_p,       // scalar factors of the elementary reflectors P
  matrixf&     Q,           // matrix Q
  matrixf&       PT           // transposed matrix P
  );

Computing for type matrix<complex>

bool  matrix::ReflectBidiagonalToQP(
  vectorc&     tau_q,        // scalar factors of the elementary reflectors Q
  vectorc&     tau_p,        // scalar factors of the elementary reflectors P
  matrixc&     Q,           // matrix Q
  matrixc&       PH           // hermitian conjugated matrix P
  );

Computing for type matrix<complexf>

bool  matrix::ReflectBidiagonalToQP(
  vectorcf&     tau_q,        // scalar factors of the elementary reflectors Q
  vectorcf&     tau_p,        // scalar factors of the elementary reflectors P
  matrixcf&     Q,           // matrix Q
  matrixcf&       PH           // hermitian conjugated matrix P
  );

Parameters

tau_q

[in] Vector of the scalar factors of the elementary reflectors which represent the orthogonal matrix Q.

tau_p

[in] Vector of the scalar factors of the elementary reflectors which represent the orthogonal matrix P.

Q

[out]  Orthogonal matrix Q.

PT (PH)

[out]  Transposed (or hermitian conjugated) matrix P.

 

Return Value

Return true if successful, otherwise false in case of an error.

Note

If m >= n, matrix Q is of m-by-n sizes, matrix PT is of n-by-n sizes.

If m < n, matrix Q is of m-by-m sizes, matrix PT is of m-by-n sizes.