Usage

Every matrix in the collection is represented by a string "matrix name", for example, the Cauchy matrix is represented by "cauchy" and the Hilbert matrix is represented by "hilb".

The matrix groups in the collection are also symbolized by strings "group name". For example, the class of the symmetric matrices is symbolized by "symmetric".

matrixdepot()

Return a list of all the matrices in the collection:

julia> matrixdepot()

Matrices:
 1) baart            2) binomial         3) blur             4) cauchy
 5) chebspec         6) chow             7) circul           8) clement
 9) companion       10) deriv2          11) dingdong        12) fiedler
 13) forsythe        14) foxgood         15) frank           16) golub
 17) gravity         18) grcar           19) hadamard        20) hankel
 21) heat            22) hilb            23) invhilb         24) invol
 25) kahan           26) kms             27) lehmer          28) lotkin
 29) magic           30) minij           31) moler           32) neumann
 33) oscillate       34) parter          35) pascal          36) pei
 37) phillips        38) poisson         39) prolate         40) randcorr
 41) rando           42) randsvd         43) rohess          44) rosser
 45) sampling        46) shaw            47) spikes          48) toeplitz
 49) tridiag         50) triw            51) ursell          52) vand
 53) wathen          54) wilkinson       55) wing
Groups:
 all           data          eigen         ill-cond
 inverse       pos-def       random        regprob
 sparse        symmetric

matrixdepot(matrix_name, p1, p2, ...)

Return a matrix specified by the query string matrix_name. p1, p2, ... are input parameters depending on matrix_name. For example:

julia> matrixdepot("hilb", 5, 4)
5x4 Array{Float64,2}:
1.0       0.5       0.333333  0.25
0.5       0.333333  0.25      0.2
0.333333  0.25      0.2       0.166667
0.25      0.2       0.166667  0.142857
0.2       0.166667  0.142857  0.125

matrixdepot(matrix_name)

Return the documentation of matrix_name, including input options, groups and reference. For example:

julia> matrixdepot("moler")
   Moler Matrix
  ≡≡≡≡≡≡≡≡≡≡≡≡≡≡

The Moler matrix is a symmetric positive definite matrix. It has one small
eigenvalue.

Input options:

  •  [type,] dim, alpha: dim is the dimension of the matrix, alpha is a
    scalar;

  •  [type,] dim: alpha = -1.

Groups: ["inverse", "ill-cond", "symmetric", "pos-def"]

References:

J.C. Nash, Compact Numerical Methods for Computers: Linear Algebra and
Function Minimisation, second edition, Adam Hilger, Bristol, 1990
(Appendix 1).

matrixdepot(group_name)

Return a list of matrices which belong to group group_name. For example:

julia> matrixdepot("pos-def")
11-element Array{ASCIIString,1}:
"hilb"
"cauchy"
"circul"
"invhilb"
"moler"
"pascal"
"pei"
"minij"
"tridiag"
"lehmer"
"poisson"

matrixdepot(group1, group2, ...)

Return a list of matrices which belong to group1 and group2, etc. For example:

julia> matrixdepot("symmetric", "inverse", "ill-cond", "pos-def")
7-element Array{ASCIIString,1}:
"hilb"
"cauchy"
"invhilb"
"moler"
"pascal"
"pei"
"tridiag"

matrixdepot(num)

Access matrix by number. For example:

julia> matrixdepot(3)
"chebspec"

matrixdepot(num1:num2)

Access matrix by range. For example:

julia> matrixdepot(3:12)
10-element Array{ASCIIString,1}:
"chebspec"
"chow"
"circul"
"clement"
"dingdong"
"fiedler"
"forsythe"
"frank"
"grcar"
"hadamard"

matrixdepot(num, num1:num2...)

Access matrix by a mixture of numbers and ranges. For example:

julia> matrixdepot(1:4, 6, 10:15)
11-element Array{AbstractString,1}:
"baart"
"binomial"
"cauchy"
"chebspec"
"circul"
"fiedler"
"forsythe"
"foxgood"
"frank"
"gravity"
"grcar"

matrixdepot(name, :get)

Download a matrix from test matrix collections, where name is a string of collection name + / + matrix name. For example:

julia> matrixdepot("HB/1138_bus", :get)

MatrixDepot.update()

Update matrix collection database from the web server.

matrixdepot(name)

Output matrix information, where name is a matrix data.

matrixdepot(name, :read)

Generate the matrix data given by name.

We can define our own groups using the macro @addgroup and remove a defined group using @rmgroup.

@addgroup group_name = ["matrix1", "matrix2", "matrix3"]

Create a new group "group_name" such that it has members "matrix1", "matrix2" and "matrix3".

@rmgroup group_name

Delete a created group group_name.