## Analytic and Numerical aspects of isospectral flows

## Repository URI

## Repository DOI

## Change log

## Authors

## Abstract

In this thesis we address the analytic and numerical aspects of isospectral flows. Such flows occur in mathematical physics and numerical linear algebra. Their main structural feature is to retain the eigenvalues in the solution space. We explore the solution of Isospectral flows and their stochastic counterpart using explicit generalisation of Magnus expansion.
\par
In the first part of the thesis we expand the solution of Bloch--Iserles equations, the matrix ordinary differential system of the form $
X'=[N,X^{2}],\ \ t\geq0, \ \ X(0)=X_0\in \textrm{Sym}(n),\ N\in
\mathfrak{so}(n), $ where