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ungtr
Generates the complex unitary matrix Q determined by hetrd. This routine belongs to the oneapi::mkl::lapack namespace.
Description
The routine explicitly generates the n-by-n unitary matrix Q formed by hetrd when reducing a complex Hermitian matrix A to tridiagonal form: A = Q*T*QH. Use this routine after a call to hetrd.
API
Syntax
namespace oneapi::mkl::lapack {
  void ungtr(sycl::queue &queue,
  mkl::uplo uplo,
  int64_t n,
  sycl::buffer<T> &a,
  int64_t lda,
  sycl::buffer<T> &tau,
  sycl::buffer<T> &scratchpad,
  int64_t scratchpad_size)
} 
   ungtr supports the following precision and devices.
T  |  
        Devices Supported  |  
       
|---|---|
std::complex<float>  |  
        CPU  |  
       
std::complex<double>  |  
        CPU  |  
       
Input Parameters
- queue
 -  
     
Device queue where calculations will be performed.
 - uplo
 -  
     
Must be uplo::upper or uplo::lower. Uses the same uplo as supplied to the hetrd function.
 - n
 -  
     
The order of matrix Q (0 ≤ n).
 - a
 -  
     
The buffer a returned by the hetrd function. The second dimension of a must be at least max(1, n).
 - lda
 -  
     
The leading dimension of a (lda ≥ n).
 - tau
 -  
     
The buffer tau returned by the hetrd function. The dimension of tau must be at least max(1,n-1).
 - scratchpad
 -  
     
Buffer holding scratchpad memory to be used by the routine for storing intermediate results.
 - scratchpad_size
 -  
     
Size of scratchpad memory as a number of floating point elements of type T. Size should not be less than the value returned by the ungtr_scratchpad_size function.
 
Output Parameters
- a
 -  
     
Overwritten by the unitary matrix Q.
 
Exceptions
Exception  |  
        Description  |  
       
|---|---|
mkl::lapack::exception  |  
        This exception is thrown when problems occur during calculations. You can obtain the info code of the problem using the info() method of the exception object: If info = -i, the i-th parameter had an illegal value. If info is equal to the value passed as scratchpad size, and detail() returns non-zero, then the passed scratchpad has an insufficient size, and the required size should not be less than the value returned by the detail() method of the exception object.  |