Linear systems are the building blocks of countless real-world phenomena, from engineering to economics. This project explores the elegant methods used to solve these systems. The Gauss method is ...
Presenting an algorithm that solves linear systems with sparse coefficient matrices asymptotically faster than matrix multiplication for any ω > 2. Our algorithm can be viewed as an efficient, ...
According to Radar Finance, the Tianyancha App shows that recently, the patent for the "Method, Device, Computer Equipment, ...
Abstract: We investigate the right coprime factorization of the transfer function matrix of a linear time-delay system considering constant state and input delays. This transfer function matrix is a ...
A criterion is given for the stability of the trivial solution of a linear system of differential equations with variable coefficients and variable delays under the assumptions of continuity and ...
Some algorithms based upon a projection process onto the Krylov subspace $K_m = \operatorname{Span}(r_0, Ar_0, \ldots, A^{m - 1}r_0)$ are developed, generalizing the ...
Abstract: In this article, we propose a model predictive control (MPC) with a single-step prediction horizon to approximate the solution of infinite horizon optimal control problems with the expected ...
The file will be used as a module; a runner code linear_algebra_runner.py will import the file and use it. Therefore, linear_algebra.py should not have a "main" block or the "main" block must be ...
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