Convergence of two-stage iterative scheme for \(K\)-weak regular splittings of type II

DOI10.1016/j.amc.2021.126471OpenAlexW3180039033MaRDI QIDQ2245089

Debasisha Mishra, Vaibhav Shekhar, Snigdhashree Nayak, Nachiketa Mishra

Publication date: 12 November 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.06047

zbMATH Keywords

convergencelinear system\(M\)-matrixnext generation matrixtwo-stage iteration\(K\)-monotonicitypandemic model\(K\)-nonnegativity\(K\)-weak regular splittings

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Genetics and population dynamics (92Dxx) Basic linear algebra (15Axx)

Uses Software

• TIFIM

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Comparison theorems for weak splittings of bounded operators
• Alternating two-stage methods for consistent linear systems with applications to the parallel solution of Markov chains
• \(H\)-splittings and two-stage iterative methods
• Some comparison theorems for weak nonnegative splittings of bounded operators
• Nonnegative splitting theory
• The monotone convergence of the two-stage iterative method for solving large sparse systems of linear equations
• Rounding error analysis of two-stage iterative methods for large linear systems
• Comparison results for \(K\)-nonnegative double splittings of \(K\)-monotone matrices
• Comparison theorems for weak splittings in respect to a proper cone of nonsingular matrices
• Two-stage iterations based on composite splittings for rectangular linear systems
• TIFIM: a two-stage iterative framework for influence maximization in social networks
• A general theory for target reproduction numbers with applications to ecology and epidemiology
• PageRank Beyond the Web
• Further Notes on the Basic Reproduction Number
• Comparison theorems for weak nonnegative splittings of K-monotone matrices
• Forecasting the daily and cumulative number of cases for the COVID-19 pandemic in India
• Monotone Iterations for Nonlinear Equations with Application to Gauss-Seidel Methods
• The Coupled Equation Approach to the Numerical Solution of the Biharmonic Equation by finite Differences. I
• Cones and Iterative Methods for Best Least Squares Solutions of Linear Systems
• On the Convergence of Two-Stage Iterative Processes for Solving Linear Equations

This page was built for publication: Convergence of two-stage iterative scheme for \(K\)-weak regular splittings of type II