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 properties of the matrices in the collection are also symbolized by strings propertry_name. For example, the class of the symmetric matrices is symbolized by "symmetric".

matrixdepot()¶: Return a list of all the matrices in the collection.

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}:
0       0.5       0.333333  0.25
5       0.333333  0.25      0.2
333333  0.25      0.2       0.166667
25      0.2       0.166667  0.142857
2       0.166667  0.142857  0.125

matrixdepot(matrix_name)

Return the parameter options and the properties of matrix_name. For example:

julia> matrixdepot("moler")
Moler Matrix:

Input options:

(type), dim, alpha: dim is the dimension of the matrix,
            alpha is a scalar.

(type), dim: alpha = -1.

['inverse', 'ill-cond', 'symmetric', 'pos-def']

matrixdepot(group_name)

Return a list of matrices with the property 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(prop1, prop2, ...)

Return a list of matrices with the property prop1, prop2, 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 UnitRange{Int64}. 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 number and range. 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): Read 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.