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
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matrixdepot
(matrix_name, p1, p2, ...) Return a matrix specified by the query string
matrix_name
.p1, p2, ...
are input parameters depending onmatrix_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
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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"] Reference: J.C. Nash, Compact Numerical Methods for Computers: Linear Algebra and Function Minimisation, second edition, Adam Hilger, Bristol, 1990 (Appendix 1).
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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"
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matrixdepot
(group1, group2, ...) Return a list of matrices which belong to
group1
andgroup2
, etc. For example:julia> matrixdepot("symmetric", "inverse", "ill-cond", "pos-def") 7-element Array{ASCIIString,1}: "hilb" "cauchy" "invhilb" "moler" "pascal" "pei" "tridiag"
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matrixdepot
(num) Access matrix by number. For example:
julia> matrixdepot(3) "chebspec"
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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"
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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"
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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.
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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
.