Solvability of a system of linear equations—an approach based on the generalized inverses determined by the Penrose equations
Sign Up to like & getrecommendations! Published in 2024 at "Physica Scripta"
DOI: 10.1088/1402-4896/ad6219
Abstract: The paper aims to play an expository role, providing a tailored introduction to the theory of matrix generalized inverses determined by the so-called Penrose equations, with the Moore–Penrose inverse as the jewel in the crown.… read more here.
Keywords: generalized inverses; penrose equations; inverses determined; system linear ... See more keywords
Solvability of a system of higher order nonlinear difference equations
Sign Up to like & getrecommendations! Published in 2020 at "Hacettepe Journal of Mathematics and Statistics"
DOI: 10.15672/hujms.474649
Abstract: In this paper we show that the system of difference equations $$ x_{n}=ay_{n-k}+\frac{dy_{n-k}x_{n-\left( k+l\right) }}{bx_{n-\left( k+l\right) }+cy_{n-l}},\ y_{n}=\alpha x_{n-k}+\frac{\delta x_{n-k}y_{n-\left( k+l\right) }}{\beta y_{n-\left( k+l\right) }+\gamma x_{n-l}},$$ where $n\in \mathbb{N}_{0},$ $k$ and $l$ are fixed naturel… read more here.
Keywords: difference equations; left right; system higher; solvability system ... See more keywords