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ATOMS : Make Matrix details
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Make Matrix

A collection of test matrices.
(878 downloads for this version - 25124 downloads for all versions)
Details
Version
0.5
Author
Michael Baudin
Owner Organization
Scilab Enterprises
Maintainers
Administrator Atoms
John Gliksberg
Michael Baudin
Category
License
Dependencies
Creation Date
December 6, 2016
Source created on
Scilab 6.0.x
Binaries available on
Scilab 5.5.x:
Windows 64-bit Windows 32-bit Linux 64-bit Linux 32-bit MacOSX
Scilab 6.0.x:
Windows 64-bit Windows 32-bit Linux 64-bit Linux 32-bit MacOSX
Install command
--> atomsInstall("makematrix")
Description
            The goal of this toolbox is to provide a collection of 
test matrices. 

Some of these matrices appears in specific applied mathematics problems. For
example, the Van Der Monde matrix appears in polynomial interpolation. Another
example is the Hilbert matrix, which arises in the least squares approximation
of arbitrary functions by polynomials.

These test matrices can also be used to experiment with linear algebra
algorithms, such as the resolution of systems of linear equations or the
eigenvalue problem. 

For some of these test matrices, the exact eigenvalues, condition number or
invert is known. For example, the Hilbert matrix is symetric positive definite.
Another example is Frank's matrix, which has a unit derminant, but is
ill-conditionned.

Features
-------

 * makematrix_border : Returns the Border matrix
 * makematrix_cauchy : Returns the Cauchy matrix
 * makematrix_circul : Returns the circular matrix
 * makematrix_diagonali : Returns a diagonal i matrix
 * makematrix_dingdong : Returns the Ding Dong matrix
 * makematrix_frank : Returns the Frank matrix
 * makematrix_frankmin : Returns the Frank-min matrix 
 * makematrix_gallery : Returns a test matrix
 * makematrix_hadamard : Returns the Hadamard matrix
 * makematrix_hankel : Returns the Hankel matrix
 * makematrix_hilbert : Returns the Hilbert matrix
 * makematrix_invhilbert : Returns the inverse of the Hilbert matrix
 * makematrix_magic : Returns the magic matrix
 * makematrix_moler : Returns the Moler matrix
 * makematrix_normal : Returns a standard normal random matrix
 * makematrix_pascal : Returns the Pascal matrix
 * makematrix_rosser : Returns the Rosser matrix
 * makematrix_toeplitz : Returns the Toeplitz matrix
 * makematrix_vandermonde : Returns the Vandermonde matrix
 * makematrix_wilkinsonm : Returns the Wilkinson - matrix
 * makematrix_wilkinsonp : Returns the Wilkinson + matrix

Demos
-----

 * Vandermonde : Interpolation
 * Hilbert : Least Squares
 * Backslash Test
            
Files (3)
[91.27 kB]
Source code archive

[159.74 kB]
OS-independent binary for Scilab 5.5.x
Binary version (all platforms)
Automatically generated by the ATOMS compilation chain

[186.56 kB]
OS-independent binary for Scilab 6.0.x
Binary version (all platforms)
Automatically generated by the ATOMS compilation chain

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