anewdetguide {SymbolicDeterminants}

Create Determinant Guide (detguide) for pxp Matrix

Description

A determinant guide is a list of 2 levels, each of which contains a list of p!/2 levels, which codes the use of each element of a pxp matrix in the calculation of the determinant of that matrix. From the guide, the symbolic representation of the determinant can be produced directly.

Usage

   anewdetguide(p,storage,verbose=TRUE)

Arguments

p

Size of matrix (pxp)

storage

Name of directory where detguides are stored.

verbose

Logical. TRUE causes printing of function ID before and after running

Details

Each determinant guide (detguide) is created by cofactor expansion from the detguide of the next smaller square matrix. If p is set larger than any existing detguide, all lower detguides larger than the largest existing one are first created in turn.

Value

"list"

comp1

Products in determinant with +1 coefficient

comp2

Products in determinant with -1 coefficient

Author(s)

William R. Fairweather

Examples

anewdetguide(p=5,storage=tempdir(),verbose=TRUE)