avivyaish / lum

LUM

Choose a matrix size, then input it's data, or drag and drop a file containing the matrix data in the GNU Octave format. Choose an action and press "Decompose" to perform the requested action.

Decomposition types

These actions are performed step by step according to various text-book algorithms.

LU decomposes the given matrix M into a pair L,U such that M = LU, when L is lower triangular and U is upper triangular.

PLU allows using a P row pivot matrix to move rows in M to ensure it has an LU decomposition.

LDLt decomposes the given matrix based on the algorithm in p. 139 of Matrix Computations by Golub-Van Loan such that the result contains the L matrix below the diagonal, and the D matrix on the diagonal itself. Also supported is LDLt for sparse matrices, although when used through the GUI the matrix has to be supplied in a dense format.

Other actions

RREF and Nullspace modes simply show the requested output, without the steps.

Thanks

Special thanks to:

jQuery

math.js - awesome library, very useful matrix functions

TodoMVC - used some CSS

Jo Sardinha - used some of his table CSS