Asynchronous iterative algorithms have emerged as a robust alternative to traditional synchronous methods for solving large-scale linear systems. These approaches allow individual computational units ...

The concept of the field of value to localize the spectrum of the iteration matrices of the skew-symmetric iterative methods is further exploited. Obtained formulas are derived to relate the fields of ...

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: We revisit real-valued preconditioned iterative methods for the solution of complex linear systems, with an emphasis on symmetric (non-Hermitian) problems. Different choices of the real ...

This is the repository of course materials for the 18.335J/6.7310J course at MIT, taught by Dr. Shi Chen, in Spring 2025. Topics: Advanced introduction to numerical linear algebra and related ...

This project focuses on numerical and iterative techniques to reduce the computational complexity of large-scale linear and multilinear dynamical systems. Model Order Reduction (MOR) helps in ...

Abstract: For nonlinear systems that can be written in pseudo-linear form, we use iterative model predictive control (IMPC) for receding-horizon optimization. Pseudo-linear models, which are written ...

Will Kenton is an expert on the economy and investing laws and regulations. He previously held senior editorial roles at Investopedia and Kapitall Wire and holds a MA in Economics from The New School ...