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Stabilization of the Gradient Method for Solving Linear Algebraic Systems - A Method Related to the Normal Equation
Ibrahima Dione
https://arxiv.org/abs/2506.00702

Stabilization of the Gradient Method for Solving Linear Algebraic Systems - A Method Related to the Normal Equation
Although it is relatively easy to apply, the gradient method often displays a disappointingly slow rate of convergence. Its convergence is specially based on the structure of the matrix of the algebraic linear system, and on the choice of the stepsize defining the new iteration. We propose here a simple and robust stabilization of the gradient method, which no longer assumes a structure on the matrix (neither symmetric, nor positive definite) to converge, and which no longer requires an approac…

This https://arxiv.org/abs/2505.06286 has been replaced.
initial toot: https://mastoxiv.page/@…

Observing structural disorder induced interacting topological phase in an atom array
Topological phases of matter can appear in noninteracting systems, as in band topology, or interacting systems, such as in spin models, with their defining features typically robust against weak disorder. Intriguingly, disorder itself can also induce topological phases--exemplified by the Anderson topological insulator in noninteracting systems. Experimental studies on disorder induced topology have so far been limited to band topology. Here we report direct observations of structural disorder …