Fix QR initializations with pivoting

Fixes #335

Author: ChrisRackauckas

Project.toml

@@ -27,7 +27,7 @@ SuiteSparse = "4607b0f0-06f3-5cda-b6b1-a6196a1729e9"
 UnPack = "3a884ed6-31ef-47d7-9d2a-63182c4928ed"
 
 [compat]
-ArrayInterface = "7.4.7"
+ArrayInterface = "7.4.11"
 DocStringExtensions = "0.8, 0.9"
 EnumX = "1"
 FastLapackInterface = "1"

src/factorization.jl

@@ -171,12 +171,12 @@ end
 function init_cacheval(alg::QRFactorization, A, b, u, Pl, Pr,
     maxiters::Int, abstol, reltol, verbose::Bool,
     assumptions::OperatorAssumptions)
-    ArrayInterface.qr_instance(convert(AbstractMatrix, A))
+    ArrayInterface.qr_instance(convert(AbstractMatrix, A), alg.pivot)
 end
 
 const PREALLOCATED_QR = ArrayInterface.qr_instance(rand(1, 1))
 
-function init_cacheval(alg::QRFactorization, A::Matrix{Float64}, b, u, Pl, Pr,
+function init_cacheval(alg::QRFactorization{NoPivot}, A::Matrix{Float64}, b, u, Pl, Pr,
     maxiters::Int, abstol, reltol, verbose::Bool,
     assumptions::OperatorAssumptions)
     PREALLOCATED_QR