NAG CL Interface
f16thc (zge_​load)

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1 Purpose

f16thc initializes a complex general matrix.

2 Specification

#include <nag.h>
void  f16thc (Nag_OrderType order, Integer m, Integer n, Complex alpha, Complex diag, Complex a[], Integer pda, NagError *fail)
The function may be called by the names: f16thc, nag_blast_zge_load or nag_zge_load.

3 Description

f16thc forms the complex m×n general matrix A given by
aij={ d if i=j α if ij .  

4 References

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

5 Arguments

1: order Nag_OrderType Input
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 3.1.3 in the Introduction to the NAG Library CL Interface for a more detailed explanation of the use of this argument.
Constraint: order=Nag_RowMajor or Nag_ColMajor.
2: m Integer Input
On entry: m, the number of rows of the matrix A.
Constraint: m0.
3: n Integer Input
On entry: n, the number of columns of the matrix A.
Constraint: n0.
4: alpha Complex Input
On entry: the value, α, to be assigned to the off-diagonal elements of A.
5: diag Complex Input
On entry: the value, d, to be assigned to the diagonal elements of A.
6: a[dim] Complex Output
Note: the dimension, dim, of the array a must be at least
  • max(1,pda×n) when order=Nag_ColMajor;
  • max(1,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 exit: the m×n general matrix A with diagonal elements set to diag and off-diagonal elements set to alpha.
7: pda Integer Input
On entry: the stride separating row or column elements (depending on the value of order) in the array a.
Constraints:
  • if order=Nag_ColMajor, pdamax(1,m);
  • if order=Nag_RowMajor, pdamax(1,n).
8: fail NagError * Input/Output
The NAG error argument (see Section 7 in the Introduction to the NAG Library CL Interface).

6 Error Indicators and Warnings

NE_ALLOC_FAIL
Dynamic memory allocation failed.
See Section 3.1.2 in the Introduction to the NAG Library CL Interface for further information.
NE_BAD_PARAM
On entry, argument value had an illegal value.
NE_INT
On entry, m=value.
Constraint: m0.
On entry, n=value.
Constraint: n0.
NE_INT_2
On entry, pda=value, m=value.
Constraint: pdamax(1,m).
On entry, pda=value and n=value.
Constraint: pdamax(1,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 8 in the Introduction to the NAG Library CL Interface 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

f16thc is not threaded in any implementation.

9 Further Comments

None.

10 Example

This example initializes a 4×3 complex matrix A, setting diagonal elements 9.0+0.0i and off-diagonal elements to 0.5-0.3i .

10.1 Program Text

Program Text (f16thce.c)

10.2 Program Data

Program Data (f16thce.d)

10.3 Program Results

Program Results (f16thce.r)