Package io.bhagat.math.linearalgebra

Class LinearEquationSolver

java.lang.Object

io.bhagat.math.linearalgebra.LinearEquationSolver

public class LinearEquationSolver
extends java.lang.Object

a class to solve linear equations

Author:

Bhagat

Nested Class Summary

Nested Classes

Modifier and Type	Class	Description
private static class	LinearEquationSolver.ImproperNumberOfEquationsException	An exception for not giving the same amount of variables and equations

Field Summary

Fields

Modifier and Type	Field	Description
static int	CRAMARS_RULE	constant for Cramar's Rule
static int	GAUSS_METHOD	constant for Gauss Method
static int	INVERSE_METHOD	constant for Inverse Method

Constructor Summary

Constructors

Constructor	Description
LinearEquationSolver()

Method Summary

Modifier and Type	Method	Description
static java.util.HashMap<java.lang.String,java.lang.Double>	cramarsRule(Matrix A, Vector b, java.util.ArrayList<java.lang.String> variables)	computes the solutions of the matrix equation Ax=b using cramar's rule
static java.util.HashMap<java.lang.String,java.lang.Double>	gaussMethod(Matrix A, Vector b, java.util.ArrayList<java.lang.String> variables)	computes the solutions of the matrix equation Ax=b using the guassian method
static java.util.HashMap<java.lang.String,java.lang.Double>	inverseA(Matrix A, Vector b, java.util.ArrayList<java.lang.String> variables)	computes the solutions of the matrix equation Ax=b using the inverse of A
static java.util.HashMap<java.lang.String,java.lang.Double>	solve(int method, LinearEquation... equations)	Takes in LinearEquation objects and then returns the solution
static java.util.HashMap<java.lang.String,java.lang.Double>	solve(LinearEquation... equations)	Takes in LinearEquation objects and then returns the solution
static java.util.HashMap<java.lang.String,java.lang.Double>	solve(java.lang.String[] equations, java.lang.String[] variables)	Takes in string equations and then solves them
static java.util.HashMap<java.lang.String,java.lang.Double>	solve(java.lang.String[] equations, java.lang.String[] variables, int method)	Takes in string equations and then solves them
static java.util.HashMap<java.lang.String,java.lang.Double>	solve(java.util.ArrayList<LinearEquation> equations)	Takes in LinearEquation objects and then returns the solution
static java.util.HashMap<java.lang.String,java.lang.Double>	solve(java.util.ArrayList<LinearEquation> equations, int method)	Takes in LinearEquation objects and then returns the solution

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

CRAMARS_RULE

public static final int CRAMARS_RULE

constant for Cramar's Rule

See Also:

Constant Field Values

GAUSS_METHOD

public static final int GAUSS_METHOD

constant for Gauss Method

See Also:

Constant Field Values

INVERSE_METHOD

public static final int INVERSE_METHOD

constant for Inverse Method

See Also:

Constant Field Values

Constructor Detail

LinearEquationSolver

public LinearEquationSolver()

Method Detail

solve

public static java.util.HashMap<java.lang.String,java.lang.Double> solve(java.util.ArrayList<LinearEquation> equations)

Takes in LinearEquation objects and then returns the solution

Parameters:

equations - an ArrayList of the LinearEquations

Returns:

the solutions of the equations

solve

public static java.util.HashMap<java.lang.String,java.lang.Double> solve(java.util.ArrayList<LinearEquation> equations,
                                                                               int method)

Takes in LinearEquation objects and then returns the solution

Parameters:

equations - an ArrayList of the LinearEquations

method - int defining the method to use to solve this

Returns:

the solutions of the equations

cramarsRule

public static java.util.HashMap<java.lang.String,java.lang.Double> cramarsRule(Matrix A,
                                                                                     Vector b,
                                                                                     java.util.ArrayList<java.lang.String> variables)

computes the solutions of the matrix equation Ax=b using cramar's rule

Parameters:

A - a matrix for the equation

b - a vector for the equation

variables - the variable names

Returns:

the solutions to the matrix equation

gaussMethod

public static java.util.HashMap<java.lang.String,java.lang.Double> gaussMethod(Matrix A,
                                                                                     Vector b,
                                                                                     java.util.ArrayList<java.lang.String> variables)

computes the solutions of the matrix equation Ax=b using the guassian method

Parameters:

A - a matrix for the equation

b - a vector for the equation

variables - the variable names

Returns:

the solutions to the matrix equation

inverseA

public static java.util.HashMap<java.lang.String,java.lang.Double> inverseA(Matrix A,
                                                                                  Vector b,
                                                                                  java.util.ArrayList<java.lang.String> variables)

computes the solutions of the matrix equation Ax=b using the inverse of A

Parameters:

A - a matrix for the equation

b - a vector for the equation

variables - the variable names

Returns:

the solutions to the matrix equation

solve

public static java.util.HashMap<java.lang.String,java.lang.Double> solve(LinearEquation... equations)

Takes in LinearEquation objects and then returns the solution

Parameters:

equations - an ArrayList of the LinearEquations

Returns:

the solutions of the equations

solve

public static java.util.HashMap<java.lang.String,java.lang.Double> solve(int method,
                                                                               LinearEquation... equations)

Takes in LinearEquation objects and then returns the solution

Parameters:

equations - an ArrayList of the LinearEquations

method - int defining the method to use to solve this

Returns:

the solutions of the equations

solve

public static java.util.HashMap<java.lang.String,java.lang.Double> solve(java.lang.String[] equations,
                                                                               java.lang.String[] variables,
                                                                               int method)

Takes in string equations and then solves them

Parameters:

equations - the string equations

variables - the variables to solve for

method - int defining the method to use to solve this

Returns:

the solutions of the equations

solve

public static java.util.HashMap<java.lang.String,java.lang.Double> solve(java.lang.String[] equations,
                                                                               java.lang.String[] variables)

Takes in string equations and then solves them

Parameters:

equations - the string equations

variables - the variables to solve for

Returns:

the solutions of the equations