The inverse problems generally are ill-posed in Hadamard sense. These words lead us to think that there exist inverse problems that are well-posed and which are possible to be solved analytically [1].

Quadratic functions are essential in the world of mathematics and have a wide range of applications in various fields, such as physics, engineering, and finance. An inverse function can be thought of ...

ABSTRACT: Necessary and sufficient conditions for the existence of the group inverse of the block matrix in Minkowski Space are studied, where are both square and . The representation of this group ...

This is a preview. Log in through your library . Abstract The inverse-function theorem is generalized to multivalued functions of the form f(x) + K, where f is a differentiable single-valued function ...

Abstract: This paper deals with the inversion of MIMO mixing systems, which are instantaneous and nonlinear but polynomial. An exact inverse is searched in the class of polynomial systems. It is shown ...

Algebraic structures are fundamental mathematical entities defined by sets equipped with operations that satisfy specific axioms, such as groups, rings, and fields. Function spaces, by contrast, are ...

In the paper, the authors find series expansions and identities for positive integer powers of inverse (hyperbolic) sine and tangent, for composite of incomplete gamma function with inverse hyperbolic ...