SymmetricMatrix

A module for Symmetric Matrix

Types

type SymmetricMatrix a

= SymmetricMatrix (NormalMatrix a)

Symmetric Matrix type

Constructors

identity : Field a -> Int -> SymmetricMatrix a

Create Square Identity Matrix with n dimension

Matrix Predicates and Properties

dimension : SymmetricMatrix a -> Int

Dimension of the matrix

isSymmetric : NormalMatrix a -> Result String (NormalMatrix a)

Predicate to determine if Matrix is symmetric

Unitary Operations

scalarMultiplication : Field a -> a -> SymmetricMatrix a -> SymmetricMatrix a

Scalar multiplication over a Square Matrix

adjoint :

SymmetricMatrix (ComplexNumber number)

-> SymmetricMatrix (ComplexNumber number)

Perform the adjoint operation on a Complex Numbered Matrix

Binary Operations

multiplyIfCan :

InnerProductSpace a

-> SymmetricMatrix a

-> Result String (SymmetricMatrix a)

Square Matrix Square Matrix multiplication

multiplyMatrixVector :

InnerProductSpace a

-> SymmetricMatrix a

-> ColumnVector a

-> Result String (ColumnVector a)

Multiply a ColumnVector by a Matrix

subtract :

Field a

-> SymmetricMatrix a

Subtract two Square Matrices

Manipulation

getAt : ( Int, Int ) -> SymmetricMatrix a -> Maybe a

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

setAt : ( Int, Int ) -> a -> SymmetricMatrix a -> SymmetricMatrix a

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

jonathanfishbein1/linear-algebra/30.0.0

SymmetricMatrix

Types

Constructors

Matrix Predicates and Properties

Unitary Operations

Binary Operations

Manipulation

Modules