A Non-linear Generalization of Singular Value Decomposition and its Application to Cryptanalysis

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219184Singular Value Decomposition (SVD) is a powerful tool in linear algebra.We propose an extension of SVD for both the qualitative detection and quantitative determination of nonlinearity in a time series. The paper illustrates nonlinear SVD with the help of data generated from nonlinear maps and flows (differential equations).the older version with 14 pages, 3 figures, 1 table, is replaced by the new manuscript with 24 pages, 7 figures and 2 tablesChaotic DynamicsA Non-linear Generalization of Singular Value Decomposition and its Application to Cryptanalysistext