It is well known that an invertible matrix admits a factorization as a product of a lower triangular matrix L and an upper triangular matrix U if and only if all the principal minors of the matrix are ...

The optimization methods are illustrated on an example of single-threaded LU decomposition of a single precision matrix of size 128×128.

Complex symmetric matrices whose real and imaginary parts are positive definite are shown to have a growth factor bounded by 2 for LU factorization. This result adds to the classes of matrix for which ...

Matrix factorization techniques have become pivotal in data mining, enabling the extraction of latent structures from large-scale data matrices. These methods decompose complex datasets into lower ...

The optimization methods are illustrated on an example of single-threaded LU decomposition of a single precision matrix of size 128×128.