Hybrid algorithm Newton method for solving systems of nonlinear equations with block Jacobi matrix

• Date: 2020
• Main Authors: Khimich, O.M., Sydoruk, V.A., Nesterenko, A.N.
• Format: Article
• Language: Ukrainian
• Published: PROBLEMS IN PROGRAMMING 2020
• Subjects: systems of nonlinear equations; hybrid algorithm; sparse matrices; systems of linear algebraic equations; high-performance computing; UDC 519.6
• Online Access: https://pp.isofts.kiev.ua/index.php/ojs1/article/view/412
• Journal Title: Problems in programming

Systems of nonlinear equations often arise when modeling processes of different nature. These can be both independent problems describing physical processes and also problems arising at the intermediate stage of solving more complex mathematical problems. Usually, these are high-order tasks with the...