I. Spitkovsky

collaborators

2 papers

math.OA2005

Positive eigenvalues and two-letter generalized words

Christopher Hillar, Charles R. Johnson, Ilya M. Spitkovsky

A generalized word in two letters $A$ and $B$ is an expression of the form $W = A^{α_{1}} B^{β_{1}} A^{α_{2}} B^{β_{2}} ... A^{α_{N}} B^{β_{N}}$ in which the exponents $α_{i}$ , $β_{i}$ are nonzero real n…

math.CA1999

Factorization of piecewise constant matrix functions and systems of linear differential equations

Torsten Ehrhardt, Ilya M. Spitkovsky

Let G be a piecewise constant $n \times n$ matrix function which is defined on a smooth closed curve $Γ$ in the complex sphere and which has m jumps. We consider the problem of dete…