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Andrew Dabrowski
เข้าร่วมเมื่อ 21 เม.ย. 2006
วีดีโอ
Least Squares Approximation: Vector Spaces
มุมมอง 1743 ปีที่แล้ว
Least Squares Approximation: Vector Spaces
Polynomial Interpolation
มุมมอง 1433 ปีที่แล้ว
Erratum: On the very first slide, the point (x_k, y_y) should be (x_k, y_k). Thanks Leo.
Solving Linear Programming problems on Mathematica
มุมมอง 1.2K3 ปีที่แล้ว
Solving Linear Programming problems on Mathematica
At 33:36, why is there 2^n in the right hand side of the inequality related to the absolute value of the error function? Thanks. I thought it should be 2^{n-1} because max the absolute value of T~ on [-1, 1] is 1/2^{n-1}.
But we're using T^~_{n+1}.
@dabrowsa At 33:33, you said you want to approximate a function. In the slide, you mentioned the target function as "C^{n+1} function f". What does that mean? Thanks.
C^{n+1} means it has n+1 continuous derivatives.
There is a typo in the graph. (x_k, y_y) should be written as (x_k, y_k).
Thanks! I'll add a note above.
Hello Professor, many thanks for the useful lectures. At 24:19, you talked about how to efficiently computing P(x) given a set of n points X. Is there a name for this method? Many thanks.
I'm not sure if there's a name for this specific method, but it's analogous to Horner's method: en.wikipedia.org/wiki/Horner's_method
cs = poly_interp(ks,f(ks)) u use is not recognized to my programm :(
The code for poly_interp was given in an earlier video in the series.
The lecture is awesome! Thanks for sharing!
You're welcome!
how do u get 1 x 1 x 2 x 3
Where is that?
@@dabrowsa 20:48 when u approximate the function in interval -1 and 2
@@NoName-xc8wb I should have explained that more. Break it down in 3 cases, according to whether -1<x<0 , 0<x<1. or 1<x<3, and estimate each term in psi(x). 1*1*2*3 is the worst case.
@@dabrowsa I understand how you got psi(x) <= 24 on the interval [-2, 3] by plugging in x=-2 or x=3, but I'm still not sure what x value you could plug into psi(x) on the interval [-1, 2] to yield 6. The highest value I can find for that interval is 1. Am I misunderstanding it?
@@Pirate-nb3jw I was doing a simple crude estimate: when -1<x<0, the maxes of the 4 terms in psi(x) are 1,1,2,3.
Great Lecture. Can you suggest any good books
The video was based on Atkinson's Intro to Numerical Analysis
Please How to obtain censoring scheme package, such as type ii censored censoring and progressive censoring
Wrong video?
Amazing!
I enjoyed this presentation
How to get the Simulation package?
Here it is: drive.google.com/file/d/1FxOHTn4ynaiKuR3tFEkU5jjsufltuBRD/view?usp=sharing
@@dabrowsa Thanks! you are super cool.
Hey Andrew, There is only the nb-File. Where do i get the m-file?
@@6Germanicus Well, of course, you can make your own from the nb file
@@dabrowsa I've an nb file saved and I want to see the simulation . How do I run the document? Please reply
Hey Andrew, what are the prereq subjects for this course?
Well, the students are supposed to have already had linear algebra, but I like to review eigenvectors anyway.
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