NAG FL Interface
f04atf (withdraw_​real_​square_​solve_​1rhs)

1 Purpose

2 Specification

3 Description

4 References

5 Arguments

1: $\mathbf{a}\left(\mathbf{lda},*\right)$ – Real (Kind=nag_wp) array Input

Note: the second dimension of the array a must be at least $\max \left(1,\mathbf{n}\right)$.

On entry: the $n$ by $n$ matrix $A$.

2: $\mathbf{lda}$ – Integer Input

On entry: the first dimension of the array a as declared in the (sub)program from which f04atf is called.

Constraint: $\mathbf{lda}\ge \max \left(1,\mathbf{n}\right)$.

3: $\mathbf{b}\left(*\right)$ – Real (Kind=nag_wp) array Input

Note: the dimension of the array b must be at least $\max \left(1,\mathbf{n}\right)$.

On entry: the right-hand side vector $b$.

4: $\mathbf{n}$ – Integer Input

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

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

5: $\mathbf{c}\left(\mathbf{n}\right)$ – Real (Kind=nag_wp) array Output

On exit: the solution vector $x$.

6: $\mathbf{aa}\left(\mathbf{ldaa},\mathbf{n}\right)$ – Real (Kind=nag_wp) array Output

Note: the second dimension of the array aa must be at least $\max \left(1,\mathbf{n}\right)$.

On exit: the triangular factors $L$ and $U$, except that the unit diagonal elements of $U$ are not stored.

7: $\mathbf{ldaa}$ – Integer Input

On entry: the first dimension of the array aa as declared in the (sub)program from which f04atf is called.

Constraint: $\mathbf{ldaa}\ge \max \left(1,\mathbf{n}\right)$.

8: $\mathbf{wks1}\left(\mathbf{n}\right)$ – Real (Kind=nag_wp) array Workspace

9: $\mathbf{wks2}\left(\mathbf{n}\right)$ – Real (Kind=nag_wp) array Workspace

10: $\mathbf{ifail}$ – 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

$\mathbf{ifail}=1$

Matrix $A$ is approximately singular.

$\mathbf{ifail}=2$

The matrix $A$ is too ill-conditioned.

$\mathbf{ifail}=3$

On entry, $\mathbf{ldaa}=〈\mathit{\text{value}}〉$ and $\mathbf{n}=〈\mathit{\text{value}}〉$.
Constraint: $\mathbf{ldaa}\ge \max \left(1,\mathbf{n}\right)$.

On entry, $\mathbf{lda}=〈\mathit{\text{value}}〉$ and $\mathbf{n}=〈\mathit{\text{value}}〉$.
Constraint: $\mathbf{lda}\ge \max \left(1,\mathbf{n}\right)$.

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

$\mathbf{ifail}=-99$

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