anewminidet {SymbolicDeterminants}

Create Determinant Guide (Minidetguide) for pxp Matrix

Description

A minidetguide is a series of p directories, each of which contains a matrix of size (p-1) x (p-1)!/2, which codes the use of each element of a pxp matrix in the calculation of the determinant of that matrix. From the minidetguide, the symbolic representation of the determinant can be produced directly.

Usage

   anewminidet(p,storage,cols,verbose=TRUE)

Arguments

p

Size of matrix (pxp)

storage

Name of directory where detguides are stored.

cols

Numbers of columns to be created. Default is 1:p, indicating all columns

verbose

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

Details

Each determinant guide (minidetguide) is created by creating the set of all possible permutations of the numbers 1 through p except j and storing them as a matrix in subdirectory R1Cj. This represents the set of columns corresponding to rows 2 through p of the products with leading element 1,j of the determinant.

Value

matrix described in details above

Author(s)

William R. Fairweather

Examples

   anewminidet(p=5,storage=tempdir(),cols=1:5,verbose=TRUE)