SylvesterMatrix class

A Sylvester matrix is used to compute the discriminant of a polynomial starting from its coefficients.

Constructors

SylvesterMatrix.new({required List<Complex> coefficients})

The constructor requires complex coefficients for the polynomial P(x).

SylvesterMatrix.fromReal({required List<double> coefficients})

The constructor requires real coefficients for the polynomial P(x).

Properties

coefficients → List<Complex>

The coefficients of the polynomial from which the Sylvester matrix will be built. The list is unmodifiable.

no setter

hashCode → int

The hash code for this object.

no setter, override

runtimeType → Type

A representation of the runtime type of the object.

no setter, inherited

Methods

buildMatrix() → ComplexMatrix

Builds the Sylvester matrix associated to the given polynomial.

matrixDeterminant() → Complex

Computes the determinant of the Sylvester matrix.

noSuchMethod(Invocation invocation) → dynamic

Invoked when a nonexistent method or property is accessed.

inherited

polynomialDiscriminant({bool optimize = true}) → Complex

The discriminant of a polynomial P(x) is the determinant of the Sylvester matrix of P and P' (where P' is the derivative of P).

toString() → String

A string representation of this object.

inherited

Operators

operator ==(Object other) → bool

The equality operator.

override