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

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

2007-11-30

arxiv.org/abs/0711.4910v2

Nonlinear Sciences

Chaotic Dynamics

the older version with 14 pages, 3 figures, 1 table, is replaced by the new manuscript with 24 pages, 7 figures and 2 tables

Scientific paper

Singular 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).

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