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Scilab: A High-Quality Free Alternative to MATLAB for Linear Algebra and Programming

Dive into Scilab's origins, its linear algebra and programming capabilities, and performance comparisons like the Savitzky-Golay filter. Learn about sparse matrices, its development since 1990, and how it compares to MATLAB. Get hands-on with demos and examples, including solving systems of equations, matrix operations, and utilizing high-quality toolboxes.

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Scilab: A High-Quality Free Alternative to MATLAB for Linear Algebra and Programming

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Presentation Transcript

  1. Matlab vs. Scilab Rafael Brunner

  2. What‘s going on? • Few words about Scilab‘s origin • Introduction to Scilab:- linear algebra- programming • Parts of my term work:- sparse matrices- Savitzky-Golay filter- performance comparison • My own experiences

  3. Scilab • developed since 1990 at INRIA / ENPC (France) • open source • free of charge • high quality toolboxes available- artificial network- serial port • similar to Matlab... yes, but...

  4. Demo • Linear Algebra- basics (how to enter matrices etc.)- compute with matrices- solving systems of equations- hessenberg form- LU-, QR-decomposition- eigenvalues, -vectors- SVD

  5. Programming • introduction / overview • example: poisson2d_kron

  6. Overview (1) • for var = expr, statement; ...; statement; end • while expression, statements; end • if expr then statements;elseif expr then statements;else statements;end

  7. Overview (2) • select expr case expr1 then instructions1 ... case exprn then instructionsn [else instructions]end

  8. Overview (3) • [lhs,rhs] = argn(0) • error • warning

  9. Example (demo) • poisson2d_kron.m  poisson2d_kron.sci • mfile2sci

  10. 2D-Poisson matrix

  11. Sparse matrices • Three different algorithms to generate the 2D-Poisson matrix:- set the elements one by one- block wise- kronecker product

  12. Performance comparison

  13. Solving a system Ax=b • in this case Ax = 1 • pcg (preconditioned conjugate gradients method) • Scilab does not provide a pcg method  Scilin (IRISA)

  14. Demo • Solving Ax=1 for n=100 • 2D-Poisson matrix generated by poisson2d_kron

  15. Performance comparison

  16. Savitzky-Golay Filter • measured data (slowly varying and corrupted by random noise) • reconstruction of the underlying smooth function

  17. Savitzky-Golay Filter (DEMO)

  18. My own experiences • editor • translating- build up new functions- mfile2sci

  19. Summary • speed • graphics • signal processing

  20. Is Scilab an alternative to Matlab?

  21. In my opinion:Scilab is capable and can be an alternative to Matlab.

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