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meataxe64

meataxe64

0.1

23 August 2019

Steve Linton
Email: steve.linton@st-andrews.ac.uk
Homepage: https://www.cs.st-andrews.ac.uk/directory/person?id=sal
Address:
School of Computer Science
Jack Cole Building
North Haugh
St Andrews
Fife
KY16 9SS
Scotland

Richard Parker
Email: richpark54@hotmail.co.uk
Homepage: http://meataxe64.wordpress.com
Address:
TODO

Markus Pfeiffer
Email: markus.pfeiffer@st-andrews.ac.uk
Homepage: http://www.morphism.de/~markusp/
Address:
School of Computer Science
Jack Cole Building
North Haugh
St Andrews
Fife
KY16 9SS
Scotland

Contents

1 Basic Meataxe64 DataTypes

1.1 Defining Categories

  1.1-1 IsMTX64FiniteField
  1.1-2 IsMTX64FiniteFieldElement
  1.1-3 IsMTX64Matrix
  1.1-4 IsMTX64BitString

1.2 Constructing and Accessing Meataxe64 Fields and their Elements

  1.2-1 MTX64_FiniteField
  1.2-2 MTX64_FieldOrder
  1.2-3 MTX64_FiniteFieldElement
  1.2-4 MTX64_FieldOfElement
  1.2-5 MTX64_NewMatrix

1.3 Constructing and Accessing Meataxe64 Matrices

  1.3-1 MTX64_Matrix
  1.3-2 MTX64_RandomMat
  1.3-3 Accessing Matrix Dimensions
  1.3-4 Accessing Matrix Entries Individually
  1.3-5 MTX64_FieldOfMatrix
  1.3-6 MTX64_InsertVector
  1.3-7 MTX64_ExtractVector
  1.3-8 MTX64_ExtractMatrix
  1.3-9 MTX64_Submatrix

1.4 Constructing and Accessing Meataxe64 BitStrings

  1.4-1 MTX64_EmptyBitString
  1.4-2 MTX64_GetEntryOfBitstring
  1.4-3 MTX64_SetEntryOfBitstring
  1.4-4 Converting Meataxe64 BitStrings to and from GAP Boolean Lists
  1.4-5 Basic Properties of Meataxe64 BitStrings
  1.4-6 MTX64_PositionsBitString

1.5 Additional Matrix Functions

  1.5-1 MTX64_CompareMatrices
  1.5-2 File I/O for Meataxe64 Matrices
  1.5-3 MTX64_HashMatrix

1.6 Additional Bitstring Functions

  1.6-1 MTX64_ReadBitString
  1.6-2 MTX64_CompareBitStrings
  1.6-3 MTX64_RowSelect
  1.6-4 MTX64_ColSelect

1.7 Standard Operations applicable to Meataxe64 objects

2 Gaussian Elimination Functions

2.1 Basic Concepts and Main Functions

2.1-1 MTX64_Echelize
2.1-2 MTX64_GAPEchelize

2.2 Methods installed for Standard GAP operations

3 Parallel Computations

3.1 File-based Parallel Functions

  3.1-1 MTX64_fMultiply
  3.1-2 MTX64_fMultiplyAdd
  3.1-3 MTX64_fTranspose
  3.1-4 MTX64_fProduceNREF
  3.1-5 MTX64_fEchelize

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