Java Linear Algebra Library
A simple, easy-to-use linear algebra library for Java.

This library allows the user do the following and more:

• Create complex numbers

• Preform operations/arithmetic with complex numbers

• Creation of real or complex matrices and vectors

• Perform various operations on matrices

  • Add, subtract, multiply, scalar multiply

  • determinant

  • transpose

  • complex conjugate

  • invert

  • row reduced echelon forms

• Manipulate matrices or vectors

  • get/set individual values

  • get/set slices of a matrix

  • reshape/flatten matrix

  • swap rows/columns

• Check/compute various properties of matrices or Vectors

  • number of rows/columns

  • minimum/maximum entry (if matrix has complex entries this will be the value with minimum/maximum magnitude)

  • Check if the matrix is a vector (i.e. either 1-by-1, a single row, or a single column)

  • Check if matrix is symmetric/hermation

  • Check if matrix is orthogonal/unitary

  • Check if the matrix is triangular/diagonal

  • Compute various norms of the matrix or vector

  • Compute subspaces of the matrix

  • Compute the eigenvalues/vectors

  • Compute the singular values

  • Check if the matrix is positive-definite

• Matrix Decompositions

  • LU decomposition

  • LUP decomposition

  • LUPQ decomposition

  • LDU decomposition

  • Cholesky decomposition

  • QR decomposition

  • Schur decomposition (Currently does not work for matrices where eigenvalues are repeated three or more times.)

  • Singular Value Decomposition (Incomplete Implimentation)

• Solve systems of linear equations