NAG Library Function Document

nag_zge_copy (f16tfc)

 Contents

    1  Purpose
    7  Accuracy

1
Purpose

nag_zge_copy (f16tfc) copies a complex general matrix.

2
Specification

#include <nag.h>
#include <nagf16.h>
void  nag_zge_copy (Nag_OrderType order, Nag_TransType trans, Integer m, Integer n, const Complex a[], Integer pda, Complex b[], Integer pdb, NagError *fail)

3
Description

nag_zge_copy (f16tfc) performs the matrix-copy operation
BA ,   BAT   or   BAH  
where A and B are m by n complex general matrices.

4
References

Basic Linear Algebra Subprograms Technical (BLAST) Forum (2001) Basic Linear Algebra Subprograms Technical (BLAST) Forum Standard University of Tennessee, Knoxville, Tennessee http://www.netlib.org/blas/blast-forum/blas-report.pdf

5
Arguments

1:     order Nag_OrderTypeInput
On entry: the order argument specifies the two-dimensional storage scheme being used, i.e., row-major ordering or column-major ordering. C language defined storage is specified by order=Nag_RowMajor. See Section 3.3.1.3 in How to Use the NAG Library and its Documentation for a more detailed explanation of the use of this argument.
Constraint: order=Nag_RowMajor or Nag_ColMajor.
2:     trans Nag_TransTypeInput
On entry: specifies the operation to be performed.
trans=Nag_NoTrans
BA.
trans=Nag_Trans
BAT.
trans=Nag_ConjTrans
BAH.
Constraint: trans=Nag_NoTrans, Nag_Trans or Nag_ConjTrans.
3:     m IntegerInput
On entry: m, the number of rows of the matrix A.
Constraint: m0.
4:     n IntegerInput
On entry: n, the number of columns of the matrix A.
Constraint: n0.
5:     a[dim] const ComplexInput
Note: the dimension, dim, of the array a must be at least
  • max1,pda×n when order=Nag_ColMajor;
  • max1,m×pda when order=Nag_RowMajor.
If order=Nag_ColMajor, Aij is stored in a[j-1×pda+i-1].
If order=Nag_RowMajor, Aij is stored in a[i-1×pda+j-1].
On entry: the m by n general matrix A.
6:     pda IntegerInput
On entry: the stride separating row or column elements (depending on the value of order) in the array a.
Constraints:
  • if order=Nag_ColMajor, pdamax1,m;
  • if order=Nag_RowMajor, pdamax1,n.
7:     b[dim] ComplexOutput
Note: the dimension, dim, of the array b must be at least
  • max1,pdb×n when trans=Nag_NoTrans and order=Nag_ColMajor;
  • max1,m×pdb when trans=Nag_NoTrans and order=Nag_RowMajor;
  • max1,pdb×m when trans=Nag_Trans or Nag_ConjTrans and order=Nag_ColMajor;
  • max1,n×pdb when trans=Nag_Trans or Nag_ConjTrans and order=Nag_RowMajor.
If order=Nag_ColMajor, Bij is stored in b[j-1×pdb+i-1].
If order=Nag_RowMajor, Bij is stored in b[i-1×pdb+j-1].
On exit: the matrix B; B is n by k if trans=Nag_NoTrans, or k by n otherwise.
8:     pdb IntegerInput
On entry: the stride separating row or column elements (depending on the value of order) in the array b.
Constraints:
  • if order=Nag_ColMajor,
    • if trans=Nag_NoTrans, pdbmax1,m;
    • if trans=Nag_Trans or Nag_ConjTrans, pdbmax1,n;
  • if order=Nag_RowMajor,
    • if trans=Nag_NoTrans, pdbmax1,n;
    • if trans=Nag_Trans or Nag_ConjTrans, pdbmax1,m.
9:     fail NagError *Input/Output
The NAG error argument (see Section 3.7 in How to Use the NAG Library and its Documentation).

6
Error Indicators and Warnings

NE_ALLOC_FAIL
Dynamic memory allocation failed.
See Section 2.3.1.2 in How to Use the NAG Library and its Documentation for further information.
NE_BAD_PARAM
On entry, argument value had an illegal value.
NE_ENUM_INT_2
On entry, trans=value, m=value, pdb=value.
Constraint: if trans=Nag_Trans or Nag_ConjTrans, pdbmax1,m.
On entry, trans=value, n=value, pdb=value.
Constraint: if trans=Nag_NoTrans, pdbmax1,n.
On entry, trans=value, pdb=value, m=value.
Constraint: if trans=Nag_NoTrans, pdbmax1,m.
On entry, trans=value, pdb=value, n=value.
Constraint: if trans=Nag_Trans or Nag_ConjTrans, pdbmax1,n.
NE_INT
On entry, m=value.
Constraint: m0.
On entry, n=value.
Constraint: n0.
NE_INT_2
On entry, pda=value, m=value.
Constraint: pdamax1,m.
On entry, pda=value and n=value.
Constraint: pdamax1,n.
NE_INTERNAL_ERROR
An internal error has occurred in this function. Check the function call and any array sizes. If the call is correct then please contact NAG for assistance.
NE_NO_LICENCE
Your licence key may have expired or may not have been installed correctly.
See Section 2.7.5 in How to Use the NAG Library and its Documentation for further information.

7
Accuracy

The BLAS standard requires accurate implementations which avoid unnecessary over/underflow (see Section 2.7 of Basic Linear Algebra Subprograms Technical (BLAST) Forum (2001)).

8
Parallelism and Performance

nag_zge_copy (f16tfc) is not threaded in any implementation.

9
Further Comments

None.

10
Example

This example copies the transpose of a complex valued 4 by 3 matrix, A, to the matrix B.

10.1
Program Text

Program Text (f16tfce.c)

10.2
Program Data

Program Data (f16tfce.d)

10.3
Program Results

Program Results (f16tfce.r)

© The Numerical Algorithms Group Ltd, Oxford, UK. 2017