Computes the real eigenvectors and eigenvalues of a square 2D array of A rows and A columns. Returns an array with A rows and A+1 columns, where each row contains an eigenvalue in the first column, and the corresponding eigenvector in the remaining A columns. The rows are sorted by eigenvalue, in descending order.
This implementation uses DecompositionFactory.eig() from https://ejml.org.
| Usage | Returns |
|---|---|
Array.eigen() | Array |
| Argument | Type | Details |
|---|---|---|
this: input | Array | A square, 2D array from which to compute the eigenvalue decomposition. |
Examples
Code Editor (JavaScript)
print(ee.Array([[0, 0], [0, 0]]).eigen()); // [[0,0,1],[0,1,0]] print(ee.Array([[1, 0], [0, 0]]).eigen()); // [[1,1,0],[0,0,1]] print(ee.Array([[0, 1], [0, 0]]).eigen()); // [[0,0,1],[0,1,0]] print(ee.Array([[0, 0], [1, 0]]).eigen()); // [[0,-1,0],[0,0,-1]] print(ee.Array([[0, 0], [0, 1]]).eigen()); // [[1,0,1],[0,1,0]] print(ee.Array([[1, 1], [0, 0]]).eigen()); // [[1,1,0],[0,-1/√2,1/√2]] print(ee.Array([[0, 0], [1, 1]]).eigen()); // [[1,0,-1],[0,-1/√2,1/√2]]] print(ee.Array([[1, 0], [1, 0]]).eigen()); // [[1,1/√2,1/√2],[0,0,1]] print(ee.Array([[1, 0], [0, 1]]).eigen()); // [[1,1,0],[1,0,1]] print(ee.Array([[0, 1], [1, 0]]).eigen()); // [[1,1/√2,1/√2],[-1,1/√2,-1/√2]] print(ee.Array([[0, 1], [0, 1]]).eigen()); // [[1,1/√2,1/√2],[0,1,0]] print(ee.Array([[1, 1], [1, 0]]).eigen()); // [[1.62,0.85,0.53],[-0.62,0.53]] print(ee.Array([[1, 1], [0, 1]]).eigen()); // [[1,0,1],[1,1,0]] print(ee.Array([[1, 0], [1, 1]]).eigen()); // [[1,-1,0],[1,0,-1]] // [[1.62,-0.53,-0.85],[-0.62,-0.85,0.53]] print(ee.Array([[0, 1], [1, 1]]).eigen()); print(ee.Array([[1, 1], [1, 1]]).eigen()); // [[2,1/√2,1/√2],[0,1/√2,-1/√2]] var matrix = ee.Array([ [1, 0, 0], [0, 1, 0], [0, 0, 1]]); print(matrix.eigen()); // [[1,1,0,0],[1,0,1,0],[1,0,0,1]] var matrix = ee.Array([ [2, 0, 0], [0, 3, 0], [0, 0, 4]]); print(matrix.eigen()); // [[4,0,0,1],[3,0,1,0],[2,1,0,0]] matrix = ee.Array([ [1, 0, 0], [0, 0, 0], [0, 0, 0]]); print(matrix.eigen()); // [[1,1,0,0],[0,0,1,0],[0,0,0,1]] matrix = ee.Array([ [1, 1, 1], [1, 1, 1], [1, 1, 1]]); // [[3,-0.58,-0.58,-0.58],[0,0,-1/√2,1/√2],[0,-0.82,0.41,0.41]] print(matrix.eigen());