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Newton's method with no real roots

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#calculus #fixed-point-theorems
60
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Determine $ \ a_{\max} \ $ and $ \ a_{\min} \ $ so that the above difference equation is well-defined.

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#dynamical-systems #fixed-point-theorems
102
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Banach and Caristi fixed point theorems

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#fixed-point-theorems #fixed-points #fixed-point-arithmetics
351
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Show that $\Phi$ is a contraction with a maximum norm.

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#real-analysis #normed-spaces #fixed-point-theorems
175
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Using Fixed point iteration to find sum of a Serias

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#sequences-and-series #numerical-methods #fixed-point-theorems #fixed-points
67
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Map a closed function $f: (1,4) \rightarrow (1,4)$ without fixed point

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#real-analysis #dynamical-systems #fixed-point-theorems
75
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Stop criterium for fixed point methods

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#numerical-methods #fixed-point-theorems
122
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Approximate solutions to nonlinear differential equations using an integral sequence

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#ordinary-differential-equations #dynamical-systems #fixed-point-theorems #integral-equations
218
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Inverse function theorem via degree theory

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#general-topology #algebraic-topology #fixed-point-theorems #inverse-function-theorem
66
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Fixed point of a map $\mathbb R^n \rightarrow \mathbb R^n$

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#general-topology #algebraic-topology #fixed-point-theorems
69
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Why does the recursion $x_{n+1} = f(x_n)$ with $f(x) = p^k\cdot\sqrt[k+1]{x}$ converge to $p^{k+1}$?

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#fixed-point-theorems
699
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Convergence of fixed-point in a gauss-seidel style

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#numerical-methods #nonlinear-system #fixed-point-theorems
765
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How does Mean Value Theorem guarantee there can't be exactly 3 fixed points, all stable?

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#calculus #ordinary-differential-equations #dynamical-systems #fixed-point-theorems #stability-in-odes
2.4k
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Convergence rate of Newton's method (Modified+Linear)

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#convergence-divergence #numerical-methods #fixed-point-theorems #newton-raphson #fixed-points
1.6k
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Can't find all roots to function with fixed point method

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#numerical-methods #matlab #fixed-point-theorems

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