Continuity, Strict Monotonicity, Inverse Functions and Solving Equations

2021 ◽  
pp. 111-126
Author(s):  
Nicholas H. Wasserman ◽  
Timothy Fukawa-Connelly ◽  
Keith Weber ◽  
Juan Pablo Mejia-Ramos ◽  
Stephen Abbott
Keyword(s):  
Strict Monotonicity ◽  
Solving Equations ◽  
Inverse Functions

A fifth-order iterative method for solving equations

1987 ◽  
Vol 49 (1-2) ◽  
pp. 129-137 ◽  
Author(s):  
Duong Thuy Vy
Keyword(s):  
Iterative Method ◽  
Solving Equations ◽  
Fifth Order

scholarly journals Strict monotonicity and unique continuation of the biharmonic operator - doi: 10.5269/bspm.v30i2.14502

1970 ◽  
Vol 30 (2) ◽  
pp. 79-83
Author(s):  
Najib Tsouli ◽  
Omar Chakrone ◽  
Mostafa Rahmani ◽  
Omar Darhouche
Keyword(s):  
Unique Continuation ◽  
Biharmonic Operator ◽  
Strict Monotonicity ◽  
Unique Continuation Property ◽  
Continuation Property

In this paper, we will show that the strict monotonicity of the eigenvalues of the biharmonic operator holds if and only if some unique continuation property is satisfied by the corresponding eigenfunctions.

Inverse Functions of y = x 1/x

2001 ◽  
Vol 108 (10) ◽  
pp. 963 ◽  
Author(s):  
Yunhi Cho ◽  
Kyunghwan Park
Keyword(s):  
Inverse Functions

Method of solving equations of motion of viscoelastic media

1975 ◽  
Vol 9 (3) ◽  
pp. 382-388
Author(s):  
I. G. Filippov
Keyword(s):  
Equations Of Motion ◽  
Viscoelastic Media ◽  
Solving Equations

Fifth order implicit multipoint method for solving equations

1985 ◽  
Vol 25 (1) ◽  
pp. 250-255 ◽  
Author(s):  
M. K. Jain
Keyword(s):  
Multipoint Method ◽  
Solving Equations ◽  
Fifth Order

Semi-local convergence of a Newton-like method for solving equations with a singular derivative

2018 ◽  
Vol 27 (1) ◽  
pp. 01-08
Author(s):  
IOANNIS K. ARGYROS ◽  
◽  
GEORGE SANTHOSH ◽  
Keyword(s):  
Banach Space ◽  
Convergence Analysis ◽  
Real Line ◽  
Local Convergence ◽  
Approximate Solutions ◽  
Convergence Domain ◽  
Solving Equations ◽  
Solutions Of Equations ◽  
Local Convergence Analysis ◽  
Special Case

We present a semi-local convergence analysis for a Newton-like method to approximate solutions of equations when the derivative is not necessarily non-singular in a Banach space setting. In the special case when the equation is defined on the real line the convergence domain is improved for this method when compared to earlier results. Numerical results where earlier results cannot apply but the new results can apply to solve nonlinear equations are also presented in this study.

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