nag_zge_load (f16thc) (PDF version)
f16 Chapter Contents
f16 Chapter Introduction
NAG Library Manual

NAG Library Function Document

nag_zge_load (f16thc)

+ Contents

    1  Purpose
    7  Accuracy

1  Purpose

nag_zge_load (f16thc) initializes a complex general matrix.

2  Specification

#include <nag.h>
#include <nagf16.h>
void  nag_zge_load (Nag_OrderType order, Integer m, Integer n, Complex alpha, Complex diag, Complex a[], Integer pda, NagError *fail)

3  Description

nag_zge_load (f16thc) forms the complex m by 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 http://www.netlib.org/blas/blast-forum/blas-report.pdf

5  Arguments

1:     orderNag_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 3.2.1.3 in the Essential Introduction for a more detailed explanation of the use of this argument.
Constraint: order=Nag_RowMajor or Nag_ColMajor.
2:     mIntegerInput
On entry: m, the number of rows of the matrix A.
Constraint: m0.
3:     nIntegerInput
On entry: n, the number of columns of the matrix A.
Constraint: n0.
4:     alphaComplexInput
On entry: the value, α, to be assigned to the off-diagonal elements of A.
5:     diagComplexInput
On entry: the value, d, to be assigned to the diagonal elements of A.
6:     a[dim]ComplexOutput
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 exit: the m by n general matrix A with diagonal elements set to diag and off-diagonal elements set to alpha.
7:     pdaIntegerInput
On entry: the stride separating row or column elements (depending on the value of order) of the matrix A in the array a.
Constraint: pdamax1,m.
8:     failNagError *Input/Output
The NAG error argument (see Section 3.6 in the Essential Introduction).

6  Error Indicators and Warnings

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: pdamax1,m.
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.

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

Not applicable.

9  Further Comments

None.

10  Example

This example initializes a 4 by 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)


nag_zge_load (f16thc) (PDF version)
f16 Chapter Contents
f16 Chapter Introduction
NAG Library Manual

© The Numerical Algorithms Group Ltd, Oxford, UK. 2014