Abstract: First-order optimization algorithms, often preferred for large problems, require the gradient of the differentiable terms in the objective function. These gradients often involve linear ...

This is a preview. Log in through your library . Abstract It is shown that for any C*-algebra A of operators on a separable Hilbert space H, there is, for each self-adjoint operator x in the strong ...

ABSTRACT: When D is a linear partial differential operator of any order, a direct problem is to look for an operator D1 generating the compatibility conditions (CC) D1η = 0 of Dξ= η. Conversely, when ...

Abstract: We consider the problem of recovering the initial data (or initial state) of infinite-dimensional linear systems generated by a perturbed skew-adjoint operator. It is well-known that this ...

ABSTRACT: In this paper, we obtain some new characterizations of the range symmetric matrices in the Minkowski Space M by using the Block representation of the matrices. These characterizations are ...

This program attempts to provide a unique visualization of the root space of a semi-simple Lie algebra. Namely, the Special linear Lie algebra. This Lie algebra is the set of all nxn matrices over the ...

Let H be an infinite-dimensional separable complex Hilbert space and ${\cal B}(H)$ the algebra of all bounded linear operators on H. In this paper we characterize ...

The Homogeneous System Solver is a computational program designed to solve matrix equations of the form Ax = 0. It automates matrix operations such as determinant calculation, cofactor extraction, ...