Japanese mathematician Masaki Kashiwara wins Abel Prize for contributions to algebraic analysis and representation theory at ...

Learn what residual standard deviation is, how to calculate it in regression analysis, and why it's crucial for measuring predictability and goodness-of-fit in data modeling.

LinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and all in one interface.

Abstract: In this paper, a novel approach leveraging artificial neural networks is introduced to approximate solutions for partial differential equations. The one ...

Abstract: We study the problem of finding the least-squares solution to the time-varying linear algebraic equation, z(t) = H(t)y(t), over an undirected network in a distributed manner. Each agent ihas ...

Among other things, the course includes elementary linear algebra, the solution of equation systems, the theory of functions of several variables, including both unconstrained and constrained ...