UnitaryMatrix

A module for Unitary Matrix

Types

type UnitaryMatrix number

= UnitaryMatrix (InvertableMatrix (ComplexNumber number))

Unitary Matrix type

Values

empty : UnitaryMatrix Float

Monoid empty for UnitaryMatrix

Constructors

identity : Int -> UnitaryMatrix Float

Create Square Identity Matrix with n dimension

Matrix Predicates and Properties

isUnitary : InvertableMatrix (ComplexNumber Float) -> Bool

Determine whether a matirx is unitary

dimension : UnitaryMatrix number -> Int

Dimension of the matrix

Unitary Operations

scalarMultiplication : ComplexNumber Float -> UnitaryMatrix Float -> UnitaryMatrix Float

Scalar multiplication over an InvertableMatrix Matrix

Binary Operations

multiply :

UnitaryMatrix Float

-> UnitaryMatrix Float

-> Result String (UnitaryMatrix Float)

Unitary Matrix Unitary Matrix multiplication

multiplyMatrixVector :

UnitaryMatrix Float

-> ColumnVector (ComplexNumber Float)

-> Result String (ColumnVector (ComplexNumber Float))

Multiply a ColumnVector by a Unitary Matrix

Manipulation

getAt :

( Int, Int )

-> UnitaryMatrix number

-> Maybe (ComplexNumber number)

Get the value in a matrix at the specified row and column

setAt :

( Int, Int )

-> ComplexNumber number

-> UnitaryMatrix number

Set the value in a Normal Matrix at the specified row and column

Equality

equal : Equality (UnitaryMatrix Float)

Compare two matricies using comparator

jonathanfishbein1/linear-algebra/27.0.0