MiniGallery, Sampler of MATLAB Test Matrices - Cleve Moler on Mathematics and Computing
 

MATLAB has dozens of test matrices. Here are a few.

[B]Contents[/B]
[LIST][*][URL="https://www.labfans.com/bbs/#2fb5167b-7e82-4227-9f86-2870405cf53c"]MiniGallery[/URL][*][URL="https://www.labfans.com/bbs/#eba25d52-863f-4050-9d5c-28d66c4a102b"]Collections[/URL][*][URL="https://www.labfans.com/bbs/#66c32842-91ed-4ddf-9f2b-544fc3a88564"]Blogs[/URL][*][URL="https://www.labfans.com/bbs/#a58fbf40-276b-4c6c-8576-97e02358a317"]Software[/URL][/LIST][IMG]http://blogs.mathworks.com/cleve/files/TinyGallery.png[/IMG]

[B]MiniGallery[/B]
[LIST][*]Random. A = sprand(n,n,0.25). Random sparse, density = 0.25.[*]Bucky. A = bucky. Sparse connectivity graph of the geodesic dome, the soccer ball, and the carbon-60 molecule.[*]Wilkinson. A = wilkinson(n). Wn+. Nearly equal double eigenvalues.[*]Band. A = triu(tril(A,2),-2). Elements near diagonal.[*]Triangular. A = triu(A). Elements on and above diagonal.[*]Hessenberg. A = triu(A,-1). Upper triangular plus one subdiagonal. See schur.[*]Permutation. A = sparse(randperm(n),1:n,1). One +1 in each row and column.[*]Companion. c = charpoly(A); A = [-c(2:end); eye(n-1,n)]. Traditional companion matrix.[*]Fiedler. c = charpoly(A); A = fiedler(-c(2:end)). Fiedler companion matrix.[*]Hankel. A = flip(gallery('toeppd',n)). Constant antidiagonals.[*]Toeplitz. A = gallery('toeppd',n). Constant diagonals.[*]Magic. A = magic(n). Magic square.[/LIST][B]Collections[/B]
[LIST][*]gallery. Nick Higham and MathWorks, [URL]https://www.mathworks.com/help/matlab/ref/gallery.html[/URL][*]Anymatrix. Nick Higham and Mantas Mikaitis, [URL]https://nhigham.com/2021/11/09/anymatrix[/URL]>[*]SuiteSparse. Tim Davis, Yifan Hu and Scott Kolodzie, [URL]http://sparse.tamu.edu[/URL][*]MatrixMarket, NIST, [URL]https://math.nist.gov/MatrixMarket[/URL].[/LIST][B]Blogs[/B]
[LIST][*][URL]https://blogs.mathworks.com/cleve/2012/11/05/magic-squares-part-2-algorithms/[/URL][*][URL]https://blogs.mathworks.com/cleve/2013/04/15/wilkinsons-matrices-2/[/URL].[*][URL]https://blogs.mathworks.com/cleve/2013/12/23/fiedler-companion-matrix/[/URL].[*][URL]https://blogs.mathworks.com/cleve/2021/05/12/bringing-back-the-bucky-ball/[/URL].[/LIST][B]Software[/B]
[LIST][*][URL]https://blogs.mathworks.com/cleve/files/MiniGallery.m[/URL][/LIST][RIGHT][COLOR=gray][I]
[URL="javascript:grabCode_3ac745ceafba4a469aec48ad4b98c1b4()"][I]Get the MATLAB code (requires JavaScript)[/I][/URL]

Published with MATLAB® R2023a
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