Polynomial equations have long served as a cornerstone of mathematical analysis, offering a framework to understand functions, curves, and dynamic systems. In recent years, the study of these ...
Abstract: We introduce in this paper a new algebraic approach to some problems arising in signal processing and communications that can be described as or reduced to systems of multivariate quadratic ...
Tehrani, F. (2020) Solution to Polynomial Equations, a New Approach. Applied Mathematics, 11, 53-66.
ABSTRACT: Let A be the linear transformation on the linear space V in the field P, V λ i be the root subspace corresponding to the characteristic polynomial of the eigenvalue λ i , and W λ i be the ...
ABSTRACT: This paper aims at extending our previous work on the solution of the one-dimensional Dirac equation using the Tridiagonal Representation Approach (TRA). In the approach, we expand the ...
Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...
Equations, like numbers, cannot always be split into simpler elements. Researchers have now proved that such “prime” equations become ubiquitous as equations grow larger. Prime numbers get all the ...
Abstract: We develop a general method that allows us to introduce families of orthogonal matrix polynomials of size N × N satisfying second-order differential equations. The presence of this extra ...
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