In the Hilbert space ?2 ?(Z; E) (Z := {0,? 1, ? 2, ...}, dim E = N < ?), maximal dissipative singular second-order matrix difference operators that extensions of a minimal symmetric operator with deficiency indices (2N, 2N) (in limit-circle cases at ?) are considered. The general boundary conditions investigated. For operator, self-adjoint dilation and is its incoming outgoing spectral repre...

Abstract Approximating the closest positive semi-definite bisymmetric matrix using Frobenius norm to a data is important in many engineering applications, communication theory and quantum physics. In this paper, we will use interior point method solve problem. The problem be reformulated into various forms, beginning as programming later, form of mixed semidefintie second-order cone optimizatio...