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A virtual consultative forum on future reforms to Better Access. [PDF]

Aust N Z J Psychiatry
Currier D, Williamson M, Newton D, Kruger A, Gelder TV, Harris M, Pirkis J.   +6 more
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Assessment of the biomechanical performance of digitally manufactured space maintainers: a finite element analysis. [PDF]

Sci Rep
Karahan M, Kızıltan Elıacık BB, Yuzbasıoglu B, Korkmaz B, Guzelce Sultanoglu E.   +4 more
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Improvements of Modified Newton-Raphson Method

Improvements of Modified Newton-Raphson Method
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Expanding the applicability of Newton’s method and of a robust modified Newton’s method

Applicationes Mathematicae, 2021
Summary: Newton's method cannot be used to approximate a solution of a nonlinear equation when the derivative of the function is singular or almost singular. To overcome this problem a modified Newton's method may be used. The Newton-Kantorovich theorem is used to show its convergence. The convergence domain of this method is small in general.
Argyros, Ioannis K., George, Santhosh
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Comparison of modified newton's methods

Computers & Chemical Engineering, 1980
Abstract A comparative evaluation was made of the performance of the Broyden-Schubert method, the finite-difference Newton's method and a hybrid method. Four problems deried from the simulation of a natural gas liquefaction process were used as bench-marks. The results show the hybrid method to be an effective combination of the advantages of the two
R.S.H. Mah, T.D. Lin
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A Modified Newton’s Method for Unconstrained Minimization

SIAM Journal on Numerical Analysis, 1979
Newton’s method for the minimization of a function of several variables presents difficulties in the case where the Hessian matrix is not positive definite. Various modifications are known. Any such modification uses a factorization of the Hessian. This paper suggests using the symmetric decomposition established in an earlier paper by the same authors
Kaniel, Shmuel, Dax, Achiya
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A modified Newton–Raphson method

Communications in Numerical Methods in Engineering, 2004
AbstractIn this paper, we propose the following modified Newton–Raphson iteration formulation: In case r=1, the obtained formulation reduces to the Newton–Raphson formulation. The present technique circumvent pitfalls of the Newton–Raphson iteration method. Some examples are illustrated. Copyright © 2004 John Wiley & Sons, Ltd.
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The improvements of modified Newton’s method

Applied Mathematics and Computation, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A modified Newton method for minimization

Journal of Optimization Theory and Applications, 1977
Some promising ideas for minimizing a nonlinear function, whose first and second derivatives are given, by a modified Newton method, were introduced by Fiacco and McCormick (Ref. 1). Unfortunately, in developing a method around these ideas, Fiacco and McCormick used a potentially unstable, or even impossible, matrix factorization.
Fletcher, R., Freeman, T. L.
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A modified secant Newton method for non-linear problems

Computers & Structures, 1982
Abstract The paper describes a Modified Secant Newton method (MSN) which is derived from the variable metric method. The present procedure differs from the Secant Newton method (SN) in that in the MSN method the iterative displacement change involves only a scalar multiple of the usual unaccelerated change.
Zhang, L., Owen, D. R. J.
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