Class MatrixGroup

A class for groups defined using matrices.

Hierarchy

Group<MathJS.Matrix>
- MatrixGroup

Index

Constructors

constructor

Properties

Methods

Constructors

constructor

new MatrixGroup(generators: MathJS.Matrix[]): MatrixGroup

- Defined in src/ts/Data structures/groups.ts:93
Constructor for the MatrixGroup class.
Parameters
- generators: MathJS.Matrix[]
  The array of matrices used to generate the group.
Returns MatrixGroup

Properties

dimension

dimension: number

generators

generators: MathJS.Matrix[]

Methods

compare

compare(elem1: MathJS.Matrix, elem2: MathJS.Matrix): -1 | 0 | 1

Overrides Group.compare
- Defined in src/ts/Data structures/groups.ts:140
Parameters
- elem1: MathJS.Matrix
- elem2: MathJS.Matrix
Returns -1 | 0 | 1

enumerateElements

enumerateElements(): MathJS.Matrix[]

Inherited from Group.enumerateElements
- Defined in src/ts/Data structures/groups.ts:66
Enumerates all of the elements of the group. The base implementation is probably not a good idea for anything with more than a few hundred elements. However, the RewriteGroup has a much faster algorithm.
Returns MathJS.Matrix[]
An array of all of the group elements.

equal

equal(elem1: MathJS.Matrix, elem2: MathJS.Matrix): boolean

Overrides Group.equal
- Defined in src/ts/Data structures/groups.ts:136
Parameters
- elem1: MathJS.Matrix
- elem2: MathJS.Matrix
Returns boolean

identity

identity(): MathJS.Matrix

Overrides Group.identity
- Defined in src/ts/Data structures/groups.ts:111
Returns the identity element of the group.
Returns MathJS.Matrix
The identity matrix of size dimension.

invert

invert(elem: MathJS.Matrix): MathJS.Matrix

Overrides Group.invert
- Defined in src/ts/Data structures/groups.ts:132
Inverts a given group element.
Parameters
- elem: MathJS.Matrix
  A group element.
Returns MathJS.Matrix
The inverse matrix of elem.

multiply

multiply(elem1: MathJS.Matrix, elem2: MathJS.Matrix): MathJS.Matrix

Overrides Group.multiply
- Defined in src/ts/Data structures/groups.ts:122
Multiplies two group elements by one another.
Parameters
- elem1: MathJS.Matrix
  The first group element.
- elem2: MathJS.Matrix
  The second group element.
Returns MathJS.Matrix
The resulting matrix multiplication of elem1 * elem2.

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