f

#### get rid of for loops/vectorization

```Hello all,
I would like get rid of loop in code below. I am not sure is it possible because x changes each time and it is multiplying each time .

InputU=4*rand(2,15);
W=sparse(2*ones(4,4));% sparse matrix
Win=3*ones(4,2);%  matrix
sizeinputU=size(InputU,2);
temp=zeros(15,4);
x=zeros(4,1);% vector
for t=1:sizeinputU
x=Win*InputU(:,t)+W*x;
temp(t,:)=x';
end

BRSU
```
 0
4/28/2012 6:29:34 AM
comp.soft-sys.matlab 211266 articles. 23 followers. lunamoonmoon (257) is leader.

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```"Elizaveta " <elizashpieva@gmail.com> wrote in message <jng2oe\$9d1\$1@newscl01ah.mathworks.com>...
> Hello all,
> I would like get rid of loop in code below. I am not sure is it possible because x changes each time and it is multiplying each time .
>
> InputU=4*rand(2,15);
> W=sparse(2*ones(4,4));% sparse matrix
> Win=3*ones(4,2);%  matrix
> sizeinputU=size(InputU,2);
> temp=zeros(15,4);
> x=zeros(4,1);% vector
> for t=1:sizeinputU
> x=Win*InputU(:,t)+W*x;
> temp(t,:)=x';
> end
>

% You might diagonalize the system,
% Full vectorizatio n can be done with polynomial but not worth it

InputU = rand(2,15);
W = sparse(rand(4,4));% sparse matrix
W = W+W'
Win=rand(4,2);% matrix
sizeinputU=size(InputU,2);

temp=zeros(sizeinputU,4);
x=zeros(4,1);% vector

%% old Engine
for t=1:sizeinputU
x=Win*InputU(:,t)+W*x;
temp(t,:)=x';
end
temp

%% New engine
[V D] = eig(full(W));
A = Win*InputU;
A = V\A;
B = zeros(4,sizeinputU);
x = zeros(4,1);
d = diag(D);
for t=1:sizeinputU
x = A(:,t)+d.*x;
B(:,t) = x;
end
B = (V*B)'

% Bruno
```
 0
b.luong5955 (6401)
4/28/2012 8:12:25 AM
```If only last value of x is of interest, then this would do:

InputU = rand(2,15);
W = sparse(rand(4,4));% sparse matrix
W = W+W';
Win=rand(4,2);% matrix
sizeinputU=size(InputU,2);

temp=zeros(sizeinputU,4);
x=zeros(4,1);% vector

%% old Engine
for t=1:sizeinputU
x=Win*InputU(:,t)+W*x;
temp(t,:)=x';
end
x

%% "Vectorized" engine
[V D] = eig(full(W));
A = Win*InputU;
A = V \ A;
d = diag(D);
x = V*arrayfun(@(k) polyval(A(k,:),d(k)), (1:4)')

% Bruno
```
 0
b.luong5955 (6401)
4/28/2012 2:19:19 PM

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GitHub - jpatanooga/Canova: General Vectorization Lib for Machine Learning Tools
Canova - General Vectorization Lib for Machine Learning Tools

Cray - Wikipedia, the free encyclopedia
Cray Inc. ( NASDAQ : CRAY ) is an American supercomputer manufacturer based in Seattle, Washington . The company's predecessor, Cray Research ...

About - My lucky number 13
Well, a little bit of myself… My name is Diana Bajenaru. I’m a Romanian woman, and I’m proud of that, I like my Country very much. With all ...

Fortran Compiler Suites & Tools for Programmers on Intel Based Mac OS X Systems!
Fortran Compilers Debuggers and Software Development Tools for Intel Mac Programmers

Welcome to AMD Developer Central - AMD's Software Developer Portal
Home - Register - Log In Tools SDKs Libraries Samples & Demos Docs Zones Community Support AMD APP KernelAnalyzer AMD APP Profiler AMD CodeAnalyst ...

Following Instructions
Men don’t like to follow instructions. If you don’t believe me, come down to my garage and I will show you a box called “the extra parts box” ...

Statistical Modeling, Causal Inference, and Social Science
We just released Stan 1.1.1 and RStan 1.1.1 As usual, you can find download and install instructions at: http://mc-stan.org/ This is a patch ...

AUSTIN KLEON : BLOG : Posts tagged 'Flash'
... Lynda Barry last year. When my Powerbook crashed, I lost the original artwork forever. When I heard about Stanford’s VectorMagic online vectorization ...

robotics.benedettelli.com
The steps to get a portrait are three: make a photo (or load an image), extract the edges to obtain a serie of black lines on white background, ...

Resources last updated: 3/30/2016 12:40:45 PM