Root Finding - Fixed-Point Iteration Method | Numerical Methods (🇵🇭 Tagalog 🇵🇭)

Root finding method using the fixed-point iteration method. Discussion on the convergence of the fixed-point iteration method. Examples using manual calculations and spreadsheet solutions.

#EngrLeir #NumericalMethods #RootFinding

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Contents
0:00 Intro
0:58 Example
7:44 Visualizing Convergence
10:35 Convergence Analysis
15:47 Convergence Example
19:33 Example 1 Using Excel
21:28 Example 2 Using Excel
22:26 Example 3 Using Excel
23:33 Outro

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Hi, I'm EngrLeir, a Civil Engineer. This is a channel about Engineering. I want to share my knowledge to others. In this channel, I try to solve engineering problems in a step-by-step manner with focus on concepts rather than formulas.

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#EngrLeir #Engineering #TagalogTutorials #CEBoardExam

[AJ-etvf]

Nice! I watched your video to review this after learning it years ago. Nice, napakaganda, lucid, and comprehensive. And very much appreciated ang paggamit ng Excel sa dulo. Mas na-excite akong matutuunan na ulit mag-iterations sa Excel. Thank you very much for this! ❤️❤️

[Monjoo]

mas may naiintindihan pako dito kaysa sa boring na google classroom

[johnleimarrodriguez]

New subscriber sir! Thank you so much 🤗

[boogerman]

isang realization ko pag nag aaral is that, mas effective ang pagkatuto ng student kapag sa video nya pinapanood ang lesson since pwede nya balikan yung di nya naintindihan. Unlike sa classroom setting na nagbabase lang ang prof sa reaction ng mga mabilis matuto, and yung mga slow learners gaya ko ay napag iiwanan.

[davinci]

Teacher namin na nagpost ng activity sa gclassroom with tgis link🤭🤪

[alanisnicole]

Shout out sa CpE 22006 jarn ano gets na ba🤣😆

[frfrongong]

Activity namen yan at ang pinapagamit na initial x saamen is 1.618, ginamit ko 1/(x-1) at di converging ang answer

[oliverwendellquinones]

As I graph y = x²-1 sir, it actually passes points -0.618 and 1.618. Does this mean this function converges? And that I was just wrong with the initial assumption for x?

[movingstoryandpoetry]

hi sir question po, paano nyo po nakuha ang g'(x) sa equation na x^2-x-1=0, gets ko na po ung paano nakuha ung sa una pero ung sa may derivative, paano po? salamat po

[jovicdobbonifacio]

Meron po ba kayo video about Lagrange and Newton Interpolation?

[jimpaul]

sa paglagay po ng equation sa excel kailangan pobang ang equation na gagamitin must be equals to 0?

[johndhenbertgalope]

Okay lang po ba mag divergent ang sagot?? May case po na ganun??

[cheggmi]

would have been good if it was delivered in English for a larger percentage of viewers. Thank you.

[misheldeloria]

Palagi po bang assume lang ang value of x sa lahat like sa Bisection, Newton Rhapson, Secant method and etc. po? Thanks in advance.

[pialaarnelm.]

Hi sir, meron po bang excel na video nito?

[josephmejalajr]

Pano po kapag sin x - e^-x =0??? Di ko po kasi talaga makuha kung paano gagawin dito

[vividjoe]

Question,
If ||Tx-Ty||^2 <_ ||x-y||^2 + k||(x-Tx) - (y-Ty) ||^2, for all x, y in H,
Now, solve
T(x) = 1/x, x in [1/2, 2 ] a subset of real number
(2): T(x)= { -3x + 1, x in negative infinity and zero.
And { 1/2(x+2), x in zero and positive infinity

[mayingferrero]

Hello, sir. May tanong lang po ako. Kung ang given po ay g(x) na agad, no need na po to reformulate the equation? Thank you.

[delaracarlo]

Very nice lecture. Kaso, may tanong lang ako sa 19:05. Akala ko ba ang convergence test, kailangan mo lang malaman kung less than 1 ang derivative, using a point between your assumed limits? Ngayon bakit biglang tinest ang value ng g(x) using any value of "c", kung nasa bracket pa rin siya na -0.5 to 0.5, eh diba ang ibig sabihin nung inassume na range (yung -0.5 to 0.5), eh x values, at hindi g(x)?

[megjinovillanueva]

sir, pede po bang gamitin ang derivatives sa pagkuha ng g(x)? thanks po