Matrix Functions as Dynamics — exponential, logarithm, sine, cosine, and numerical methods

How do matrix functions describe dynamical evolution, oscillation, and sensitivity? Inspired by Chapters 10–12 of Nicholas J. Higham’s Functions of Matrices, this visual tutorial connects the matrix exponential, logarithm, cosine, and sine through short mathematical explanations and reproducible Python experiments.

The interactive article explores nonnormal transient growth, noncommutativity and BCH corrections, Fréchet derivatives, Padé scaling-and-squaring, principal logarithm branches, and matrix rotations in (SO(2)).

Explore the full interactive article →

Includes notebook-generated figures and an interactive rotation demonstration.