NAG FL Interface
f03bnf (complex_​gen)

1 Purpose

2 Specification

3 Description

4 References

5 Arguments

1: $\mathbf{n}$ – Integer Input

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

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

2: $\mathbf{a}(\mathbf{lda},*)$ – Complex (Kind=nag_wp) array Input

Note: the second dimension of the array a must be at least $\mathbf{n}$.

On entry: the $n\times n$ matrix $A$ in factorized form as returned by f07arf.

3: $\mathbf{lda}$ – Integer Input

On entry: the first dimension of the array a as declared in the (sub)program from which f03bnf is called.

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

4: $\mathbf{ipiv}\left(\mathbf{n}\right)$ – Integer array Input

On entry: the row interchanges used to factorize matrix $A$ as returned by f07arf.

5: $\mathbf{d}$ – Complex (Kind=nag_wp) Output

On exit: the mantissa of the real and imaginary parts of the determinant.

6: $\mathbf{id}\left(2\right)$ – Integer array Output

On exit: the exponents for the real and imaginary parts of the determinant. The determinant, $d=(d_r,d_i)$, is returned as $d_r=D_r\times 2^j$ and $d_i=D_i\times 2^k$, where $\mathbf{d}=(D_r,D_i)$ and $j$ and $k$ are stored in the first and second elements respectively of the array id on successful exit.

7: $\mathbf{ifail}$ – Integer Input/Output

On entry: ifail must be set to $0$, $-1$ or $1$ to set behaviour on detection of an error; these values have no effect when no error is detected.

A value of $0$ causes the printing of an error message and program execution will be halted; otherwise program execution continues. A value of $-1$ means that an error message is printed while a value of $1$ means that it is not.

If halting is not appropriate, the value $-1$ or $1$ is recommended. If message printing is undesirable, then the value $1$ is recommended. Otherwise, the value $0$ is recommended. When the value $-\mathbf{1}$ or $\mathbf{1}$ is used it is essential to test the value of ifail on exit.

On exit: $\mathbf{ifail}=\mathbf{0}$ unless the routine detects an error or a warning has been flagged (see Section 6).

6 Error Indicators and Warnings

$\mathbf{ifail}=1$

On entry, $\mathbf{n}=⟨\mathit{\text{value}}⟩$.
Constraint: $\mathbf{n}\ge 1$.

$\mathbf{ifail}=3$

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

$\mathbf{ifail}=4$

The matrix $A$ is approximately singular.

$\mathbf{ifail}=-99$

An unexpected error has been triggered by this routine. Please contact NAG.

See Section 7 in the Introduction to the NAG Library FL Interface for further information.

$\mathbf{ifail}=-399$

Your licence key may have expired or may not have been installed correctly.

See Section 8 in the Introduction to the NAG Library FL Interface for further information.

$\mathbf{ifail}=-999$

Dynamic memory allocation failed.

See Section 9 in the Introduction to the NAG Library FL 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