Numerical Analysis

Archive for November, 2010

Please Recommend Some Open-Source C-Sharp Maths Libraries

Hi

Could I please have recommendations for some general, solid, open
source C# maths libraries.

Thanks.

.
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Rapidshare files

Hi everybody,
Can somebody tell me how do we open the files which are dowloaded from
rapidshare i.e. which are in the .rar format.
I wud be extremely thankful to you.

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Mathematical model of an axial fan

Hi all

I would like to make a mathematical model of an axial fan which can describe
the airflow including the swirl.

Can anyone here help me or recommend me some good papers/documens about this
subject?

Best regards

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Java implementations of FFT

I am looking for a reasonably efficient Java implementation of the
Fast Fourier Transform. Can you suggest something?

Cheers,

Roman

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Properties of special matrices

Hello

Consider the following three kind of matrices. are there any
properties such as inverse or Eigenvalues or determinant or etc
specific to these kind of matrices:

1-In each row the sum of square of each element is 1.

2-In each row the sum of square of each element is 1 And In each
column the sum of square of each element is 1

3-if t1,t2,..,tn are either real or complex numbers we construct the
matrix as follows :
|t1|    t1      t1      t1      t1
t1′     |t2|    t2      t2      t2
t1′     t2′     |t3|    t3      t3
t1′     t2′     t3′     |t4|    t4
t1′     t2′     t3′     t4′     |t5|

Thank you for your help
Best regards,

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Please help!!

Could someone please help me. I need Hayt: Engineering
electromagnetics, 1981. 4th edition solution manual. It will help me a
lot if someone of you good people send it to me on my mail or post a
download link, torrent…
Tnx in advance!

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Weighted, constrained least square fitting

Hi all,

I’m not an expert in linear algebra, so be easy on me. Most of what
I’ve got so far is from books, but need a bit of help with something.

Attempting to solve least squares problem

Y = Hx

where x is unknowns, Y are observations. Subject to the constraints

Ax = t

where t are constrained values (from Y) and A are the corresponding
rows of H.

I’m also trying to do this weighted, allowing different weights for
different observations in Y. I’ve got a solution for the constrained
problem and a solution to the weighted problem, but not sure of the
joint solution.

My book has a term Z in the initial problem (Y = Hx + Z), described as
an error term with E(Z) = 0 and E(ZZ’) = V, and the term V appears in
the solution. Initially I’m using the identity matrix as V, and it
gives the correct constrained solution. I believe V may allow me to
weight the problem by setting elements on the leading diagional to
different values (i.e. 0 for observations to ignore, 1 for ones to use
and 0.5 for ones to sort of use), but this doesn’t give me the results
I’m expecting.

Any ideas ?

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