GaussSeidelSolver class

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

Note that the usage of GaussSeidelSolver is the same as using SORSolver with w = 1.

Inheritance

Constructors

GaussSeidelSolver({required List<List<double>> equations, required List<double> constants, 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.
GaussSeidelSolver.flatMatrix({required List<double> equations, required List<double> constants, 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.

Properties

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

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 containing the solutions of the system.
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