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Show that the iterative method is of at least order 3

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#numerical-methods #fixed-point-iteration
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Fixed-point-iteration method converges but error increases

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#numerical-methods #fixed-point-iteration
282
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Representing a first order like condition as the solution of an optimization problem

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#optimization #convex-optimization #numerical-optimization #fixed-point-iteration
78
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when can a function serve as its own correction for finding its roots via an iteration function? what is it called in this case?

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#fixed-point-theorems #fixed-point-iteration #fixed-points
617
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Numerical iteration method

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#numerical-methods #fixed-point-iteration
290
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If all eigenvalues are < 1, fixed point iterations converges to the only solution

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#eigenvalues-eigenvectors #jordan-normal-form #fixed-point-iteration
3k
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When to use Newtons's, bisection, fixed-point iteration and the secant methods?

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#numerical-methods #roots #newton-raphson #bisection #fixed-point-iteration
164
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Given a map $T(x) = 2 \sin(x)$, find the fixed point on $[\pi/2,\pi]$

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#real-analysis #banach-fixed-point #fixed-point-iteration
1.1k
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Find if a fixed-point iteration converges for a certain root

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#numerical-methods #fixed-point-theorems #fixed-point-iteration
2.1k
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How many iterations are required to reduce the convergence error by a factor of 10?

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#numerical-methods #fixed-point-theorems #banach-fixed-point #fixed-point-iteration
128
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Understanding fully the proof of the uniqueness of a fixed-point

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#proof-verification #proof-explanation #fixed-point-theorems #fixed-point-iteration
2.3k
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Understanding convergence of fixed point iteration

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#derivatives #convergence-divergence #numerical-methods #fixed-point-iteration
208
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How do i show the nth iteration term given a function and a starting point?

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#multivariable-calculus #fixed-point-iteration
133
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Solving non-linear functional equations numerically by sequence of linear least-squares?

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#numerical-methods #nonlinear-optimization #least-squares #fixed-point-iteration
387
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Implicit Euler's Method

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#ordinary-differential-equations #numerical-methods #initial-value-problems #fixed-point-iteration

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