JacobiSolver class final

Solves a system of linear equations using the Jacobi iterative method. The given input matrix, representing the system of linear equations, must be square.

This algorithm only works with strictly diagonally dominant systems of equations.

Inheritance

Constructors

JacobiSolver({required RealMatrix matrix, required List<double> knownValues, required List<double> x0, int maxSteps = 30, double precision = 1.0e-10})
Given an equation in the form Ax = b, A is a square matrix containing n equations in n unknowns and b is the vector of the known values.
factory

Properties

hashCode → int
The hash code for this object.
no setteroverride
knownValues → List<double>
The vector containing the known values of the equations.
finalinherited
matrix → RealMatrix
The equations to be solved.
finalinherited
maxSteps → int
The maximum number of iterations to be made by the algorithm.
final
precision → double
The algorithm accuracy.
finalinherited
runtimeType → Type
A representation of the runtime type of the object.
no setterinherited
size → int
The dimension of the system (N equations in N unknowns).
no setterinherited
x0 → List<double>
The initial vector x, needed to start the algorithm.
final

Methods

determinant() → double
Computes the determinant of the associated matrix.
inherited
hasSolution() → bool
Computes whether the system can be solved or not.
inherited
noSuchMethod(Invocation invocation) → dynamic
Invoked when a nonexistent method or property is accessed.
inherited
solve() → List<double>
Solves the Ax = b equation and returns the x vector.
override
toString() → String
A string representation of this object.
inherited
toStringAugmented() → String
Prints the augmented matrix of this instance, which is the equations matrix plus the known values vector to the right. For example, if...
inherited

Operators

operator ==(Object other) → bool
The equality operator.
override