Memory Required for Large Matrices

These tables show how much memory is required for four matrices of the given size and type. (We need four matrices: A, B, C1, and C2.)

Float64

Float32

Int64

Int32

Generating These Tables

mem_req(s, ::Type{T}) where {T} = 4s^2*sizeof(T) / (1 << 30)

function print_table(::Type{T}, Ns = nothing) where {T}
    println("| Matrix Size | Memory |")
    println("| ----------- | ------ |")
    if Ns isa Nothing
        _Ns = sort(unique(vcat(collect(1:1:20), collect(20:10:100))))
    else
        _Ns = Ns
    end
    for N in _Ns
        mem = mem_req(N * 1_000, T)
        m = round(mem; digits = 2)
        println("| $(N)k by $(N)k | $(m) GiB |")
    end
    return nothing
end

julia> print_table(Float64)
julia> print_table(Float32)
julia> print_table(Int64)
julia> print_table(Int32)