Inverse formulas for the tensor product are used to develop an algorithm to compute Schmidt decompositions of Finite Schmidt Rank (FSR) bounded operators on the tensor product of separable Hilbert spaces. The algorithm is then applied to solve inverse problems related to the tensor product of bounded operators. In particular, we show how properties of a FSR bounded operator are reflected by the...

in this paper, a numerical scheme for solving singular initial/boundary value problems presented.by applying the reproducing kernel hilbert space method (rkhsm) for solving these problems,this method obtained to approximated solution. numerical examples are given to demonstrate theaccuracy of the present method. the result obtained by the method and the exact solution are foundto be in good agr...

We show the existence of a broad class affine Markov processes on cone positive self-adjoint Hilbert–Schmidt operators. Such are well-suited as infinite-dimensional stochastic covariance models. The we consider is an analogue semi-definite and symmetric matrices studied in Cuchiero et al. (2011). As finite-dimensional case, construct allow for drift depending linearly state, well jumps governed...