Feng Qi, Qing Zou, Bai-Ni Guo, THE INVERSE OF A TRIANGULAR MATRIX AND SEVERAL IDENTITIES OF THE CATALAN NUMBERS, Applicable Analysis and Discrete Mathematics, Vol. 13, No. 2 (October 2019), pp.

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 ...

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 ...

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 ...