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A free e-book:
Numerical Recipes[^]
Has *extensive* algorithms on all aspects of what you are looking for. The algorithms are written in C, but you should be able to port them if needed.
Singular value decomposition[^]
As for eigenvalues, it depends on the form of your matrix. See Chapter 11 of Numerical Recipes in C for a discussion of tri-diagonal, symmetric, and Hermitian matrices because when you say "obtaining eigenvalues", that is extremely general.
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What's the use of Laplace?
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Laplace is a mathematician[^], and looking at his age, i don't think you'll be able to do anything with him 
what do you mean by "using Laplace" ? which theorem ? which formula ??
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toxy
sometimes your jokes makes me laugh...
but I expect some common sense tooo 
-- modified at 8:52 Friday 18th August, 2006
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but actually, the last question was a serious one... no joke in fact... 
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There is the Laplace-Experiment and the Moivre-Laplace Approximation.
The Laplace-Experiment is a combinational model for finite elementary events with the same probability.
The combinational model (Ω, ε, P) consists of:
i) the finite set Ω = {ω1, ..., ωn) (the set of probabilities)
ii) the events ε = Pot(Ω) (the potency set of Ω)
iii) the measure of probabilities P(E) = |E| / |Ω|
The elements ωi of the space of samples Ω are named elementary probabilities.
For example:
The probability that for lottery where are 49 number the number '6' will fall, is the 1/49 (there are 49 numbers, the probability for each number is 1/49).
You have to calculate all positive events by all possible events.
For 6 given numbers out of 49 its 49 above 6 = 49! & (6! · 43!) = 13 983 816 so P(E) = 1/13 983 816.
If you want to know something about Moivre-Laplace approximation, just ask.
Regards,
Ingo
------------------------------
PROST Roleplaying Game
War doesn't determine who's right. War determines who's left.
"Would you like us to drop a bomb on you too? We have 10,000 of them!"
- espeir
"Perhaps we should lend them a nuke or two."
- espeir
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In addition to the other answers, there is also the Laplace transform
So, if you want a clear answer, you need to ask a much more specific question: Laplace, what is it you are looking for ? In which context ? What do you mean by 'use' ?
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Laplace did a lot of things. If you are referring to Laplace Transforms, they are very helpful for solving certain types of differential equations.
If you decide to become a software engineer, you are signing up to have a 1/2" piece of silicon tell you exactly how stupid you really are for 8 hours a day, 5 days a week
Zac
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Some months have 30 days, Some months have 31 days. How many Months have 28 days?
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dan neely wrote:
All 12 of them.
Yeppers
I'd like to help but I don't feel like Googling it for you.
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This is no maths. Post this on the board for "Old and silly jokes" not here. 
------------------------------
PROST Roleplaying Game
War doesn't determine who's right. War determines who's left.
"Would you like us to drop a bomb on you too? We have 10,000 of them!"
- espeir
"Perhaps we should lend them a nuke or two."
- espeir
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...when I travel and meet foreign people, it happens to ask - sometimes - stupid things. They, kindly say:
- That's a good question...
I think that you posted a good question...;P
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Divide 30 by half and add 10, so what will you get?
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Integer or floating point arithmetic? 
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how old are you ? 
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Muliply 30 with half and subtract 5.
------------------------------
PROST Roleplaying Game
War doesn't determine who's right. War determines who's left.
"Would you like us to drop a bomb on you too? We have 10,000 of them!"
- espeir
"Perhaps we should lend them a nuke or two."
- espeir
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maybe lying on his birthdate... i don't think 1984 seems correct... lol
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toxcct wrote: maybe lying on his birthdate... i don't think 1984 seems correct... lol
 Or someone was using the account of his big brother
------------------------------
PROST Roleplaying Game
War doesn't determine who's right. War determines who's left.
"Would you like us to drop a bomb on you too? We have 10,000 of them!"
- espeir
"Perhaps we should lend them a nuke or two."
- espeir
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What are the ways to find a cube of a number other than
1. X~3 = X * X * X
note : ~ = to the power
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X2*X
"I know which side I want to win regardless of how many wrongs they have to commit to achieve it." - Stan Shannon
Web - Blog - RSS - Math - LinkedIn
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X^3 = (2X)^2 + (X^2)*(X-4)
^ power
* multiply
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If X doesnt work then, you can make use of Y
Y~3 = Y * Y * Y
note : ~ = to the power
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