Discover a novel approach to solving linear algebraic equations using Newton's method with inner iteration. Explore different strategies for convergence and witness the efficiency through numerical ...

Discover a novel method for solving linear equations using direct decomposition of the coefficient matrix. Learn how to determine elements of the reducing lower triangular matrix and explore its ...

The Schrödinger equation is fundamental in quantum mechanics, and solving it can often be complex and time-consuming. The Matrix Numerov method optimizes this process, allowing for quick and efficient ...

Riccati matrix equation (RME), a critical nonlinear matrix equation in autonomous driving and deep learning. However, memory-compute separation in traditional solving systems leads to latency and ...

However, as far as my knowledge and research goes, approaches geared towards solving nonlinear PDEs are nearly nonexistent. Moreover, the few research articles that do exist result in the formulation ...

In this article, a system of Yang-Baxter-type matrix equations is studied, XAX = BXB, XBX = AXA, which “generalizes” the matrix Yang-Baxter equation and exhibits a broken symmetry. We investigate the ...

The research on vibration characteristics and control of multi-body system is a research focus in the field of mechanical system dynamics and control engineering. For the controlled multibody system, ...

The spectral properties of A and B are investigated and used to provide solutions to this matrix equation. The solutions to the matrix equations then lead to solutions for the recurrence relations in ...