Concepedia

Newton's method for singular nonlinear equations using approximate left and right nullspaces of the Jacobian

Yun-Qiu Shen, Tjalling Ypma

Applied Numerical Mathematics · 2004 · 35 citations · 11 references

Concepts

Numerical AnalysisNumerical ComputationEngineeringSingularly Perturbed ProblemRight NullspacesGeometric Singular Perturbation TheoryNonlinear EquationSingular Nonlinear EquationsApproximation TheoryApproximate LeftNumerical Method For Partial Differential Equation

References

11

Introduction to Numerical Analysis.

Carl-Erik Fröberg, Josef Stoer, Roland Bulirsch · Mathematics of Computation · 1981 · 5.5K citations

Numerical Analysis, Spectral Theory, Conjugate Gradient Algorithm +8

Iterative methods for linear and nonlinear equations

Choice Reviews Online · 1996 · 2K citations

Numerical Analysis, Numerical Computation, Engineering +10

Historical Development of the Newton–Raphson Method

Tjalling Ypma · SIAM Review · 1995 · 898 citations

Numerical Analysis, Historical Development, Numerical Computation +10

Fundamentals of Matrix Computations.

G. W. S., David S. Watkins · Mathematics of Computation · 1992 · 861 citations

Numerical Analysis, Engineering, Gaussian Elimination +12

From equilibrium to chaos (practical bifurcation and stability analysis)

W.F. Ames · Mathematics and Computers in Simulation · 1988 · 438 citations

Chaos Theory, Dynamical Analysis, Bifurcation Theory +2