Main Article Content
LU decomposition is a fundamental in linear algebra. Numerous tools exists that provide this important factorization. The authors present the conditions for a matrix to have none, one, or infinitely many LU factorizations. In the case where no factorization exists, the authors illustrate how to approximate an LU decomposition by considering LU factorization of nearby matrices.
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.