Approved for inclusion in a future ANSI M[UMPS] language standard as part of the library for Matrix Mathematics.
This function calculates the cofactor in a square matrix of an element in that matrix. The function value is the value of the cofactor.
This function is internally used to compute the value of a determinant, but may also be called directly.
Assuming that matrix DEMO contains:
2 1 -1 2 1 3 2 -3 -1 2 1 -1 2 -3 -1 4
this function will return:
| Reference | Value | |
|---|---|---|
| $%MTXCOF^MATH(.DEMO,1,1,4) | -4 | |
| $%MTXCOF^MATH(.DEMO,1,2,4) | 10 | |
| $%MTXCOF^MATH(.DEMO,1,3,4) | 14 | |
| $%MTXCOF^MATH(.DEMO,1,4,4) | 2 | |
| $%MTXCOF^MATH(.DEMO,2,1,4) | 10 | |
| $%MTXCOF^MATH(.DEMO,2,2,4) | 2 | |
| $%MTXCOF^MATH(.DEMO,2,3,4) | 10 | |
| $%MTXCOF^MATH(.DEMO,2,4,4) | 4 | |
| $%MTXCOF^MATH(.DEMO,3,1,4) | 14 | |
| $%MTXCOF^MATH(.DEMO,3,2,4) | 10 | |
| $%MTXCOF^MATH(.DEMO,3,3,4) | -22 | |
| $%MTXCOF^MATH(.DEMO,3,4,4) | 20 | |
| $%MTXCOF^MATH(.DEMO,4,1,4) | 2 | |
| $%MTXCOF^MATH(.DEMO,4,2,4) | 4 | |
| $%MTXCOF^MATH(.DEMO,4,3,4) | 20 | |
| $%MTXCOF^MATH(.DEMO,4,4,4) | -10 |
The MDC has approved code to approximate the return value of this function. Implementors are encouraged to provide more accurate and efficient code). Click here to view or download the code for this function. Click here to view or download the code for all M[UMPS] Library Functions.
This document is © Ed de Moel, 1995-2005.
It is part of a book by Ed de Moel that is published
under the title "M[UMPS] by Example" (ISBN 0-918118-42-5).
Printed copies of the book are no longer available.
This document describes the various library functions that are defined for the M[UMPS] programming language.
The information in this document is NOT authoritative
and subject to be modified at any moment.
Please consult the appropriate (draft) language standard for an
authoritative definition.
In this document, information is included that will
appear in
future standards.
The MDC cannot guarantee that these 'next'
standards will indeed appear.