API: (min,+) Algebra
(min,+) constructor
Scalar Constructors
Missing docstring for MaxPlus.MI(::Float64). Check Documenter's build log for details.
Missing docstring for MaxPlus.MI(::Bool). Check Documenter's build log for details.
Dense Matrix and Dense Vector Constructors
Missing docstring for MaxPlus.MI(::Array). Check Documenter's build log for details.
Sparse Matrix Constructors
Missing docstring for MaxPlus.MI(::SparseMatrixCSC). Check Documenter's build log for details.
Missing docstring for MaxPlus.MI(I::AbstractVector, J::AbstractVector, V::AbstractVector). Check Documenter's build log for details.
Sparse Vector Constructors
Missing docstring for MaxPlus.MI(::SparseVector). Check Documenter's build log for details.
Missing docstring for MaxPlus.MI(I::AbstractVector, V::AbstractVector). Check Documenter's build log for details.
Unit Range Constructors
Missing docstring for MaxPlus.MI(::UnitRange). Check Documenter's build log for details.
Missing docstring for MaxPlus.MI(::StepRangeLen). Check Documenter's build log for details.
Overloaded Algebraic Operators
Missing docstring for Base.zero(::MI). Check Documenter's build log for details.
Missing docstring for Base.zero(::Type{MI}). Check Documenter's build log for details.
Missing docstring for Base.one(::MI). Check Documenter's build log for details.
Missing docstring for Base.one(::Type{MI}). Check Documenter's build log for details.
Missing docstring for Base.:(+)(::MI, ::MI). Check Documenter's build log for details.
Missing docstring for Base.:(*)(::MI, ::MI). Check Documenter's build log for details.
Missing docstring for Base.:(^)(::MI, ::Number). Check Documenter's build log for details.
Missing docstring for Base.:(/)(::MI, ::MI). Check Documenter's build log for details.
Missing docstring for Base.:(\)(::MI, ::MI). Check Documenter's build log for details.
Missing docstring for Base.:(-)(::MI, ::MI). Check Documenter's build log for details.
Missing docstring for Base.:min(x::MI, y::MI). Check Documenter's build log for details.
(min,+) algebra to classic algebra conversion
Missing docstring for MaxPlus.plustimes(::MI). Check Documenter's build log for details.
(min,+) Constants
Missing docstring for MaxPlus.mi0. Check Documenter's build log for details.
Missing docstring for MaxPlus.mi1. Check Documenter's build log for details.
Missing docstring for MaxPlus.mie. Check Documenter's build log for details.
Missing docstring for MaxPlus.mitop. Check Documenter's build log for details.
Missing docstring for MaxPlus.miI. Check Documenter's build log for details.
(min,+) Dense matrices constructions
Missing docstring for Base.ones(MI, m::Int64, n::Int64). Check Documenter's build log for details.
Missing docstring for Base.ones(MI, n::Int64). Check Documenter's build log for details.
Missing docstring for Base.zeros(MI, m::Int64, n::Int64). Check Documenter's build log for details.
Missing docstring for Base.zeros(MI, n::Int64). Check Documenter's build log for details.
Missing docstring for MaxPlus.eye(MI, m::Int64, n::Int64). Check Documenter's build log for details.
Missing docstring for MaxPlus.eye(MI, n::Int64). Check Documenter's build log for details.
(min,+) Sparse matrices constructions
Missing docstring for SparseArrays.spzeros(MI, m::Int64, n::Int64). Check Documenter's build log for details.
Missing docstring for SparseArrays.spzeros(MI, n::Int64). Check Documenter's build log for details.
Missing docstring for MaxPlus.speye(MI, m::Int64, n::Int64). Check Documenter's build log for details.
Missing docstring for MaxPlus.speye(MI, n::Int64). Check Documenter's build log for details.
(min,+) matrices Conversion
Missing docstring for MaxPlus.plustimes(A::Array{MI}). Check Documenter's build log for details.
Missing docstring for MaxPlus.plustimes(S::SparseMatrixCSC{MI}). Check Documenter's build log for details.
Missing docstring for MaxPlus.full(S::SparseMatrixCSC{MI}). Check Documenter's build log for details.
Missing docstring for MaxPlus.dense(S::SparseMatrixCSC{MI}). Check Documenter's build log for details.
(min,+) Matrix operations
Missing docstring for Base.:(\)(::AbstractMatrix{MI}, ::AbstractMatrix{MI}). Check Documenter's build log for details.
Missing docstring for Base.:(\)(::AbstractMatrix{MI}, ::MI). Check Documenter's build log for details.
Missing docstring for Base.:(\)(::MI, ::AbstractMatrix{MI}). Check Documenter's build log for details.
Missing docstring for Base.:(/)(::AbstractMatrix{MI}, ::AbstractMatrix{MI}). Check Documenter's build log for details.
Missing docstring for Base.:(/)(::AbstractMatrix{MI}, ::MI). Check Documenter's build log for details.
Missing docstring for Base.:(/)(::MI, ::AbstractMatrix{MI}). Check Documenter's build log for details.
Missing docstring for Base.inv(::Matrix{MI}). Check Documenter's build log for details.
Missing docstring for MaxPlus.star(A::Array{MI}). Check Documenter's build log for details.
Missing docstring for MaxPlus.plus(A::Array{MI}). Check Documenter's build log for details.
Missing docstring for MaxPlus.astarb(A::Array{MI}, b::Array{MI}). Check Documenter's build log for details.
Missing docstring for MaxPlus.MIeigen. Check Documenter's build log for details.
Missing docstring for MaxPlus.howard(S::SparseMatrixCSC{MI}). Check Documenter's build log for details.
Missing docstring for MaxPlus.tr(A::Array{MI}). Check Documenter's build log for details.
LinearAlgebra.norm — Methodnorm(A::Array{MP})Compute the norm of the full or sparce matrix A. Return the largest entry minus smallest entry of A.
Examples
julia-repl
julia> using SparseArrays
julia> A = MP([1 20 2;30 400 4;4 50 10])
3×3 (max,+) dense matrix:
1.0 20.0 2.0
30.0 400.0 4.0
4.0 50.0 10.0
julia> S = MP(sparse(A))
3×3 (max,+) sparse matrix with 9 stored entries:
1 20 2
30 400 4
4 50 10
julia> mpnorm(A)
(max,+) 399
julia> mpnorm(S)
(max,+) 399Display control of (min,+) scalar and Matrices
Missing docstring for MaxPlus.set_tropical_display. Check Documenter's build log for details.
Missing docstring for `MaxPlus.LaTeX(io::IO, A::Matrix{MI})
#Base.show(::IO, ::Matrix{MI}) #Base.show(::IO, ::SparseMatrixCSC{MI})`. Check Documenter's build log for details.
Missing docstring for Base.show(::IO, ::MIME"text/plain", A::Matrix{MI}). Check Documenter's build log for details.
Missing docstring for Base.show(::IO, ::MIME"text/latex", A::Matrix{MI}). Check Documenter's build log for details.
Index
MaxPlus.mp0MaxPlus.mp1MaxPlus.mpIMaxPlus.mpeMaxPlus.mptopMaxPlus.εMaxPlus.MPMaxPlus.MPMaxPlus.MPMaxPlus.MPMaxPlus.MPMaxPlus.MPMaxPlus.MPMaxPlus.MPMaxPlus.MPMaxPlus.MPSysLinBase.:*Base.:*Base.:+Base.:+Base.:-Base.:/Base.:/Base.:/Base.:/Base.:/Base.:==Base.:\Base.:\Base.:\Base.:\Base.:^Base.:|Base.hcatBase.invBase.minBase.oneBase.oneBase.onesBase.onesBase.onesBase.showBase.showBase.showBase.showBase.vcatBase.zeroBase.zeroBase.zerosBase.zerosBase.zerosLinearAlgebra.normLinearAlgebra.normLinearAlgebra.trMaxPlus.LaTeXMaxPlus.LaTeXMaxPlus.LaTeXMaxPlus.astarbMaxPlus.denseMaxPlus.eyeMaxPlus.eyeMaxPlus.eyeMaxPlus.fullMaxPlus.howardMaxPlus.mpeigenMaxPlus.mpexplicitMaxPlus.mpshowMaxPlus.mpsimulMaxPlus.plusMaxPlus.plusMaxPlus.plustimesMaxPlus.plustimesMaxPlus.plustimesMaxPlus.set_tropical_displayMaxPlus.sparse_mapMaxPlus.speyeMaxPlus.speyeMaxPlus.spgetMaxPlus.starMaxPlus.starSparseArrays.spzerosSparseArrays.spzerosSparseArrays.spzeros