Abstract: This paper is concerned with obtaining the inverse of polynomial functions using semidefinite programming (SDP). Given a polynomial function and a nominal point at which the Jacobian of the ...
This is a preview. Log in through your library . Abstract An analogue of Hubert's Syzygy Theorem is proved for the algebra đ n (A) of one-sided inverses of the polynomial algebra A[xâ,... , x n ] ...
Abstract: This work establishes the connection between the finite and infinite algebraic structure of a full row or column rank polynomial matrix and its Moore Penrose inverse. For non-singular ...
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 ...
In this paper, an algebraic method which is based on the groebner bases theory is proposed to solve the polynomial functions conditional extreme. Firstly, we describe how to solve conditional extreme ...
Drazin inverses and their modern generalisations constitute a pivotal area of operator theory within Banach algebras. These inverse concepts extend the classic notion of the matrix inverse to settings ...
Simplify or manipulate expressions involving polynomial, radical, exponential, or logarithmic terms using appropriate properties and rules Use numeric or variable substitution while working with ...
A polynomial is an algebraic expression involving many terms and can be factorised using long division or synthetic division. Laws of logarithms and exponents Revise what logarithms are and how to use ...
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 ...
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