MiniGallery, Sampler of MATLAB Test Matrices - Cleve Moler on Mathematics and Computing - MATLAB爱好者论坛-LabFans.com

poster · 2023-06-29, 05:01

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

Contents

MiniGallery

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.

Collections

gallery. Nick Higham and MathWorks, https://www.mathworks.com/help/matlab/ref/gallery.html
Anymatrix. Nick Higham and Mantas Mikaitis, https://nhigham.com/2021/11/09/anymatrix>
SuiteSparse. Tim Davis, Yifan Hu and Scott Kolodzie, http://sparse.tamu.edu
MatrixMarket, NIST, https://math.nist.gov/MatrixMarket.

Blogs

Software

https://blogs.mathworks.com/cleve/files/MiniGallery.m

Get the MATLAB code (requires JavaScript)

Published with MATLAB® R2023a

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2023-06-29, 05:01	#1
poster 高级会员注册日期: 2019-11-21 帖子: 3,006 声望力: 66	MiniGallery, Sampler of MATLAB Test Matrices - Cleve Moler on Mathematics and Computing MATLAB has dozens of test matrices. Here are a few. Contents MiniGallery Collections Blogs Software MiniGallery 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. Collections gallery. Nick Higham and MathWorks, https://www.mathworks.com/help/matlab/ref/gallery.html Anymatrix. Nick Higham and Mantas Mikaitis, https://nhigham.com/2021/11/09/anymatrix> SuiteSparse. Tim Davis, Yifan Hu and Scott Kolodzie, http://sparse.tamu.edu MatrixMarket, NIST, https://math.nist.gov/MatrixMarket. Blogs https://blogs.mathworks.com/cleve/20...-2-algorithms/ https://blogs.mathworks.com/cleve/20...ns-matrices-2/. https://blogs.mathworks.com/cleve/20...panion-matrix/. https://blogs.mathworks.com/cleve/20...he-bucky-ball/. Software https://blogs.mathworks.com/cleve/files/MiniGallery.m Get the MATLAB code (requires JavaScript) Published with MATLAB® R2023a More...