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math.CA2004
Rational Solutions of the Schlesinger System and Isoprincipal Deformations of Rational Matrix Functions II
Victor Katsnelson, Dan Volok
In this second article of the series we study holomorphic families of generic rational matrix functions parameterized by the pole and zero loci. In particular, the isoprincipal def…
math.CA2003
The Schlesinger System and the Riemann-Hilbert Problem
Dan Volok
We generalize some classical results for the Schlesinger system of partial differential equations and give the explicit form of its solution, associated with rational matrix functi…