NAG CL Interface
f11mlc (direct_​real_​gen_​norm)

1 Purpose

2 Specification

3 Description

4 References

5 Arguments

1: $\mathbf{norm}$ – Nag_NormType Input

On entry: specifies the value to be returned in anorm.

$\mathbf{norm}=\mathrm{Nag\_RealOneNorm}$

The $1$-norm ${\Vert A\Vert }_1$ of the matrix is computed, that is ${\displaystyle \underset{1\le j\le n}{\max }}{\displaystyle \sum _{i=1}^n}\left|A_{ij}\right|$.

$\mathbf{norm}=\mathrm{Nag\_RealInfNorm}$

The $\infty$-norm ${\Vert A\Vert }_{\infty }$ of the matrix is computed, that is ${\displaystyle \underset{1\le i\le n}{\max }}{\displaystyle \sum _{j=1}^n}\left|A_{ij}\right|$.

$\mathbf{norm}=\mathrm{Nag\_RealMaxNorm}$

The value ${\displaystyle \underset{1\le i,j\le n}{\max }}\left|A_{ij}\right|$ (not a norm).

Constraint: $\mathbf{norm}=\mathrm{Nag\_RealOneNorm}$, $\mathrm{Nag\_RealInfNorm}$ or $\mathrm{Nag\_RealMaxNorm}$.

2: $\mathbf{anorm}$ – double * Output

On exit: the computed quantity relating the matrix.

3: $\mathbf{n}$ – Integer Input

On entry: $n$, the order of the matrix $A$.

Constraint: $\mathbf{n}\ge 0$.

4: $\mathbf{icolzp}\left[\mathit{dim}\right]$ – const Integer Input

Note: the dimension, dim, of the array icolzp must be at least $\mathbf{n}+1$.

On entry: the new column index array of sparse matrix $A$. See Section 2.1.3 in the F11 Chapter Introduction.

5: $\mathbf{irowix}\left[\mathit{dim}\right]$ – const Integer Input

Note: the dimension, dim, of the array irowix must be at least $\mathbf{icolzp}\left[\mathbf{n}\right]-1$, the number of nonzeros of the sparse matrix $A$.

On entry: the row index array of sparse matrix $A$. See Section 2.1.3 in the F11 Chapter Introduction.

6: $\mathbf{a}\left[\mathit{dim}\right]$ – const double Input

Note: the dimension, dim, of the array a must be at least $\mathbf{icolzp}\left[\mathbf{n}\right]-1$, the number of nonzeros of the sparse matrix $A$.

On entry: the array of nonzero values in the sparse matrix $A$.

7: $\mathbf{fail}$ – 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 $⟨\mathit{\text{value}}⟩$ had an illegal value.

NE_INT

On entry, $\mathbf{n}=⟨\mathit{\text{value}}⟩$.
Constraint: $\mathbf{n}\ge 0$.

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.
See Section 7.5 in the Introduction to the NAG Library CL Interface for further information.

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

8 Parallelism and Performance

9 Further Comments

10 Example

10.1 Program Text

10.2 Program Data

10.3 Program Results