Pointwise Broyden Methods
Copyright policy )Pointwise Broyden Methods
Pointwise quasi-Newton methods update the coefficients of differential and integral operators in function spaces. This paper gives a general theory of such methods and unifies it with the theory of Broyden's method in Hilbert space. In particular, a new superlinearly convergent method is introduced for elliptic boundary value problems.
Other nonlinear integral equations, Numerical solutions to equations with nonlinear operators, Broyden's method, Hilbert space, Numerical methods for integral equations, Numerical solution of discretized equations for boundary value problems involving PDEs, pointwise quasi-Newton methods, Iterative procedures involving nonlinear operators, Nonlinear boundary value problems for linear elliptic equations, superlinear convergence
Other nonlinear integral equations, Numerical solutions to equations with nonlinear operators, Broyden's method, Hilbert space, Numerical methods for integral equations, Numerical solution of discretized equations for boundary value problems involving PDEs, pointwise quasi-Newton methods, Iterative procedures involving nonlinear operators, Nonlinear boundary value problems for linear elliptic equations, superlinear convergence
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