Simple "Residual-Norm" Based Algorithms, for the solution of a large system of non-linear algebraic equations, which converge faster than the Newton's method

Mathematics

• Nonlinear Algebraic Equations 100%
• Newton Methods 80%
• Converge 52%
• Norm 50%
• Inversion 29%
• A.s. Convergence 21%
• High Efficiency 19%
• Gradient Flow 19%
• Jacobian matrix 19%
• Guess 19%
• Exponential Convergence 18%
• Invariant Manifolds 18%
• Local Convergence 18%
• Nonlinear Ordinary Differential Equations 17%
• High Accuracy 17%
• Slope 15%
• Iterative Algorithm 15%
• Penalty 15%
• Path 11%
• Numerical Examples 10%
• Zero 8%

Engineering & Materials Science

• Newton-Raphson method 92%
• Nonlinear equations 90%
• Jacobian matrices 20%
• Ordinary differential equations 17%