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### LA_DETERM

LA_DETERM

The LA_DETERM function uses LU decomposition to compute the determinant of a square array.

This routine is written in the IDL language. Its source code can be found in the file la_determ.pro in the lib subdirectory of the IDL distribution.

## Examples

The following program computes the determinant of a square array:

`; Create a square array`
`array =[[1d, 2, 1], \$`
`   [4, 10, 15], \$`
`   [3, 7, 1]]`
`; Compute the determinant.`
`adeterm = LA_DETERM(array)`
`PRINT, 'LA_DETERM:', adeterm`

When this program is compiled and run, IDL prints:

`LA_DETERM: `
`-15.000000`

## Syntax

Result = LA_DETERM( A [, /CHECK] [, /DOUBLE] [, ZERO=value] )

## Return Value

The result is a scalar of the same type as the input array.

## Arguments

### A

An n-by-n real or complex array.

## Keywords

### CHECK

Set this keyword to check A for any singularities. The determinant of a singular array is returned as zero if this keyword is set. Run-time errors may result if A is singular and this keyword is not set.

### DOUBLE

Set this keyword to use double-precision for computations and to return a double-precision (real or complex) result. Set DOUBLE = 0 to use single-precision for computations and to return a single-precision (real or complex) result. The default is /DOUBLE if A is double precision, otherwise the default is DOUBLE = 0.

### ZERO

Use this keyword to set the absolute value of the floating-point zero. A floating-point zero on the main diagonal of a triangular array results in a zero determinant. For single-precision inputs, the default value is 1.0 x 10-6. For double-precision inputs, the default value is 1.0 x 10-12. Setting this keyword to a value less than the default may improve the precision of the result.

## Version History

 5.6 Introduced

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