Tech Xplore on MSN

RRAM-based analog computing system rapidly solves matrix equations with high precision

Analog computers are systems that perform computations by manipulating physical quantities such as electrical current, that map math variables, instead of representing information using abstraction ...
JSTOR Daily

Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems

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 ...
Simon Fraser University

Solving Linear Systems (NumPy)

Most linear algebra courses start by considering how to solve a system of linear equations. \[ \begin{align} a_{0,0}x_0 + a_{0,1}x_0 + \cdots a_{0,n-1}x_0 & = b_0 ...
insideHPC

ECP: SuperLU Library Speeds Direct Solution of Large Sparse Linear Systems on HPC and Exascale Hardware

HPC and AI technology consultant and author Rob Farber wrote this article on behalf of the Exascale Comuting Project. In a June 2020 overview of direct solvers on the National Energy Research ...
JSTOR Daily

TWO ITERATION METHODS FOR SOLVING LINEAR ALGEBRAIC SYSTEMS WITH LOW ORDER MATRIX A AND HIGH ORDER MATRIX B: Y = (A ⊗ B) Y + ɸ

This paper presents optimum an one-parameter iteration (OOPI) method and a multi-parameter iteration direct (MPID) method for efficiently solving linear algebraic systems with low order matrix A and ...