Module matrix_factorization 

Advanced matrix factorization algorithms

This module provides additional matrix factorization algorithms beyond the standard decompositions in the decomposition module:

• Non-negative Matrix Factorization (NMF)
• Interpolative Decomposition (ID)
• CUR Decomposition
• Rank-Revealing QR Factorization
• UTV Decomposition
• Sparse Decompositions

These factorizations are useful for dimensionality reduction, data compression, and constructing low-rank approximations with specific properties.

Functions

cur_decomposition

Computes the CUR decomposition of a matrix.

interpolative_decomposition

Computes the Interpolative Decomposition (ID) of a matrix.

nmf

Computes the Non-Negative Matrix Factorization (NMF) of a matrix.

rank_revealing_qr

Computes the Rank-Revealing QR (RRQR) decomposition of a matrix.

utv_decomposition

Computes the UTV decomposition of a matrix.