update README

Author: dlfivefifty

Project.toml

@@ -14,12 +14,12 @@ MatrixFactorizations = "a3b82374-2e81-5b9e-98ce-41277c0e4c87"
 
 
 [compat]
-BandedMatrices = "0.11.2,0.12"
+BandedMatrices = "0.12"
 BlockArrays = "0.10"
 BlockBandedMatrices = "0.5.1"
-FillArrays = "0.7"
+FillArrays = "0.7.1"
 InfiniteArrays = "0.2"
-LazyArrays = "0.11.1,0.12"
+LazyArrays = "0.12.1"
 MatrixFactorizations = "0.2"
 julia = "1"
 

README.md

@@ -36,7 +36,7 @@ julia> A = BandedMatrix(0 => -2*(0:∞)/z, 1 => Ones(∞), -1 => Ones(∞))
 ```
 The first row corresponds to specifying an initial condition. Thus we can determine the Bessel functions via solving the recurrence:
 ```julia
-julia> A \ Vcat([besselj(1,z)], Zeros(∞)) 
+julia> A \ [besselj(1,z); Zeros(∞)] 
 ∞-element LazyArrays.CachedArray{Float64,1,Array{Float64,1},Zeros{Float64,1,Tuple{InfiniteArrays.OneToInf{Int64}}}} with indices OneToInf():
  -0.007096160353406478 
   0.0036474507555295833