In the paper, the authors establish two identities to express higher order derivatives and integer powers of the generating function of the Chebyshev polynomials of the second kind in terms of integer ...

The R matrix is special because it is upper triangular -- the values below the diagonal are 0s -- and its inverse is easy to compute. To compute the inverse of a matrix A = Q * R, the math derivation ...

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 ...

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 ...

Let Λ and Γ be Artin algebras, M a Γ-Λ-bimodule, and R the triangular matrix ring of Λ, Γ, and M; assume that R is also an Artin algebra. The R-modules are triples (U, V, f) where U is a Λ-module, V ...

By reducing the reliance on dense sensor networks and mitigating the numerical issues inherent in traditional FSDT-based inverse formulations, the iKS3 element presents a viable and efficient ...

For a symmetric correlation matrix, the Inverse Correlation Matrix table contains the inverse of the correlation matrix, as shown in Figure 40.14. The diagonal elements of the inverse correlation ...