I'm trying to write a code that allows me to create a 2x2 matrix, then use the JAMA library (http://math.nist.gov/javanumerics/jama/) to calculate the eigenvalues and eigenvectors of the matrix I just created. Then, I'll compare eigenvalues with the analytical method using the trace-determinate form.
My code is below. The first block is to generate the 2x2 matrix, then the second block of code to compute the eigenvalues and eigenvectors
import Jama.Matrix;
import Jama.EigenvalueDecomposition;
import Jama.*;
import java.util.Scanner;
/**
* Code to generate a 2x2 matrix then find its eigenvalues and eigenvectors
* Check eigenvalue computation using trick for 2x2 case
* ^(only possible for 2x2, not in general possible for general nxn)
*/
public class Matrix_For_Eval_Calc
{
// instance variables - replace the example below with your own
public Matrix A;
// Create empty 2x2 array
/**
* Constructor for objects of class EigenvalueProblem
* Input elements in array
* Fill in elements of 2x2 matrix
*/
public void PopulateMatrix()
{
// initialise instance variables
// Prompt User Input for a_1,1 a_1,2 a_2,1 and a_2,2
Scanner in = new Scanner(System.in);
System.out.println("Enter the element a_{1,1}: ");
double a_11 = in.nextInt();
System.out.println("a_{1,1} = " + a_11 );
System.out.println("Enter the element a_{1,2}: ");
double a_12 = in.nextInt();
System.out.println("a_{1,2} = " + a_12 );
System.out.println("Enter the element a_{2,1}: ");
double a_21 = in.nextInt();
System.out.println("a_{2,1} = " + a_21 );
System.out.println("Enter the element a_{2,2}: ");
double a_22 = in.nextInt();
System.out.println("a_{2,2} = " + a_22 );
double[][] array = { {a_11 , a_12} , {a_21 , a_22} };
Matrix A = new Matrix(array);
// System.out.println(A);
// System.out.println(a_11 + "," + a_12);
// System.out.println(a_21 + "," + a_22);
}
}
That is for the creation of the matrix. And then I want to use that matrix in the next code. When I use ''return A; '' I get another error saying "incompatible types: unexpected return value"
import Jama.Matrix;
import Jama.EigenvalueDecomposition;
import Jama.*;
import java.util.Scanner;
/**
* Write a description of class EvalCalculation here.
*
* @author (your name)
* @version (a version number or a date)
*/
public class EvalCalculation
{
// instance variables - replace the example below with your own
//private int x;
public void EigenvalueCalc(Matrix InputMatrix)
{
EigenvalueDecomposition somematrix = new EigenvalueDecomposition(InputMatrix);
Matrix S = somematrix.getV();
System.out.println("V = " + S);
// Compute Evals and e-vecs
// Print out
}
When I create a matrix, populate with with values, then try to use that in the next bit of code, I get an error about incompatible file types and that Matrix_For_Eval_Calc cannot be converted to a Matrix. I imagine that this is because there is no return matrix, but not sure how to remedy that.
Any advice is greatly appreciated.
EDIT:
import Jama.Matrix;
import Jama.EigenvalueDecomposition;
import Jama.*;
import java.util.Scanner;
/**
* Code to generate a 2x2 matrix then find its eigenvalues and eigenvectors
* Check eigenvalue computation using trick for 2x2 case
* ^(only possible for 2x2, not in general possible for general nxn)
*/
public class MatrixForEvalCalc
{
// instance variables - replace the example below with your own
public Matrix A;
// Create empty 2x2 array
/**
* Constructor for objects of class EigenvalueProblem
* Input elements in array
* Fill in elements of 2x2 matrix
*/
public void populateMatrix()
{
// initialise instance variables
// Prompt User Input for a_1,1 a_1,2 a_2,1 and a_2,2
Scanner in = new Scanner(System.in);
System.out.println("Enter the element a_{1,1}: ");
double a_11 = in.nextInt();
System.out.println("a_{1,1} = " + a_11 );
System.out.println("Enter the element a_{1,2}: ");
double a_12 = in.nextInt();
System.out.println("a_{1,2} = " + a_12 );
System.out.println("Enter the element a_{2,1}: ");
double a_21 = in.nextInt();
System.out.println("a_{2,1} = " + a_21 );
System.out.println("Enter the element a_{2,2}: ");
double a_22 = in.nextInt();
System.out.println("a_{2,2} = " + a_22 );
double[][] array = { {a_11 , a_12} , {a_21 , a_22} };
this.A = new Matrix(array);
// return A;
}
}
The second part
import Jama.Matrix;
import Jama.EigenvalueDecomposition;
import Jama.*;
import java.util.Scanner;
/**
* Write a description of class EvalCalculation here.
*
* @author (your name)
* @version (a version number or a date)
*/
public class EvalCalculation
{
// instance variables - replace the example below with your own
//private int x;
public void eigenvalueCalc(Matrix inputMatrix)
{
EigenvalueDecomposition someMatrix = new EigenvalueDecomposition(inputMatrix);
Matrix S = someMatrix.getV();
System.out.println("V = " + S);
// Compute Evals and e-vecs
// Print out
}
}
I create a matrix, populate it. Then use the input you suggested of
MatrixForEvalCalc matrixWrapper = new MatrixForEvalCalc();
matrixWrapper.PopulateMatrix();
EigenvalueCalc(matrixWrapper.A);
Then I get as an output V = Jama.Matrix@1b213c5
Any advice on how to make it output a matrix properly?
Note the return type of PopulateMatrix()
:
public void PopulateMatrix() { ... }
You say it returns nothing, by making it void
so when you try to return a Matrix
you get an error message saying this is an unexpected return type.
If you want to return a Matrix
from PopulateMatrix()
, you should change its return type to Matrix
:
public Matrix PopulateMatrix() {
// rest of the code
double[][] array = { {a_11 , a_12} , {a_21 , a_22} };
Matrix A = new Matrix(array);
return A;
}
But perhaps this is not exactly what you want. You have already declared an instance field Matrix A
. When you do Matrix A = new Matrix(array)
you are creating a local variable with the same name, and not assigning a value to the instance field. If you want to do the later, you could keep the return type as void
:
public void PopulateMatrix() {
// rest of the code
double[][] array = { {a_11 , a_12} , {a_21 , a_22} };
this.A = new Matrix(array);
}
And access the field directly (since you made it public):
Matrix_For_Eval_Calc matrixWrapper = new Matrix_For_Eval_Calc();
matrixWrapper.PopulateMatrix();
EigenvalueCalc(matrixWrapper.A);
As a side note, you should try to follow the Java conventions when naming your variables, methods and classes:
InputMatrix
should be InputMatrix
.PopulateMatrix()
should be populateMatrix()
and EigenvalueCalc()
should be eigenvalueCalc()
.Matrix_For_Eval_Calc
should be MatrixForEvalCalc
.