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Referência MQL5Métodos matriciais e vetoriaisOpenBLASReductionsReflectTridiagonalToQ 

ReflectTridiagonalToQ

Generates orthogonal matrix Q  which is defined as the product of n-1 elementary reflectors of order n, as returned by ReduceSymmetricToTridiagonal:

in upper case Q = H(n-1) . . . H(2) H(1),

in lower case Q = H(1) H(2) . . . H(n-1).

Lapack functions ORGTR, UNGTR.

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

Computing for type matrix<double>

bool  matrix::ReflectTridiagonalToQ(
   vector&         tau_q,        // scalar factors of the elementary reflectors Q
   matrix&         Q             // matrix Q
   );

Computing for type matrix<float>

bool  matrix::ReflectTridiagonalToQ(
   vectorf&        tau_q,        // scalar factors of the elementary reflectors Q
   matrixf&        Q             // matrix Q
   );

Computing for type matrix<complex>

bool  matrix::ReflectTridiagonalToQ(
   vectorc&        tau_q,        // scalar factors of the elementary reflectors Q
   matrixc&        Q             // matrix Q
   );

Computing for type matrix<complexf>

bool  matrix::ReflectTridiagonalToQ(
   vectorcf&       tau_q,        // scalar factors of the elementary reflectors Q
   matrixcf&       Q             // matrix Q
   );

Parameters

tau_q

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

Q

[out]  Orthogonal matrix Q.

 

Return Value

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