๐Ÿฅง Cholesky Decomposition

Mathematics / Linear Algebra

For ๐Ÿฑ Matrix > Symmetric Positive Semidefinite (PSD) matrix , we can factorize

where is a lower triangular matrix with a positive diagonal.

, called the Cholesky factor, is commonly used in machine learning for numerical computations. For example, it simplifies the determinant calculation,

Content by William Liang, written in Obsidian.
Thank you to all the educators who made these notes possible.