Update ci.yml

.github/workflows/ci.yml

@@ -27,6 +27,7 @@ jobs:
       fail-fast: false
       matrix:
         version:
+          - 'lts'
           - 'nightly'
           - '1'
         os:
@@ -37,7 +38,7 @@ jobs:
           - x64
     steps:
       - uses: actions/checkout@v4
-      - uses: julia-actions/setup-julia@v1
+      - uses: julia-actions/setup-julia@v2.2
         with:
           version: ${{ matrix.version }}
           arch: ${{ matrix.arch }}

src/eigenGeneral.jl

@@ -29,6 +29,14 @@
 end
 (\)(H::HessenbergMatrix, B::AbstractVecOrMat) = ldiv!(copy(H), copy(B))
 
+if VERSION < v"1.10"
+    # ensure tests pass on Julia v1.6
+    copy_similar(A::AbstractArray, ::Type{T}) where {T} = copyto!(similar(A, T, size(A)), A)
+    eigtype(T) = promote_type(Float32, typeof(zero(T)/sqrt(abs2(one(T)))))
+    eigencopy_oftype(A, S) = copy_similar(A, S)
+    LinearAlgebra.eigvals(A::HessenbergMatrix{T}; kws...) where T = LinearAlgebra.eigvals!(eigencopy_oftype(A, eigtype(T)); kws...)
+end
+
 # Hessenberg factorization
 struct HessenbergFactorization{T,S<:StridedMatrix,U} <: Factorization{T}
     data::S

test/eigenselfadjoint.jl

@@ -120,22 +120,10 @@ using Test, GenericLinearAlgebra, LinearAlgebra, Quaternions
 
     @testset "issue 123" begin
         M = Hermitian([
-            big"-0.4080898675832881399369478084264191594976530854542904557798567397269356887436951";
-            big"-0.1032324294981949906363774065395184125237581835226155628209100984396171211818558";
-            big"-1.0795157507124452910839896877334667387210301781514938067860918240771876343947";
-            big"0.9172086645212876240254394768180975107502376572771647296150618931226550446699544";;
-            big"-0.1032324294981949906363774065395184125237581835226155628209100984396171211818558";
-            big"-0.9819956883377066621250198846550622559246996804965712336465013506629992739010227";
-            big"0.1882735697944729855991976669864503854920622386133987141371224931350749728226066";
-            big"-0.1599663084136352437739757607131301560774255778371317602542426234968564801904052";;
-            big"-1.0795157507124452910839896877334667387210301781514938067860918240771876343947";
-            big"0.1882735697944729855991976669864503854920622386133987141371224931350749728226066";
-            big"0.9688026817149176598146701814747478080649943014810992426739997593840858865727305";
-            big"-1.672789745967021000172452940954243617442140494364475046869527486458478435262502";;
-            big"0.9172086645212876240254394768180975107502376572771647296150618931226550446699544";
-            big"-0.1599663084136352437739757607131301560774255778371317602542426234968564801904052";
-            big"-1.672789745967021000172452940954243617442140494364475046869527486458478435262502";
-            big"0.4212828742060771422472975116067336073573584644697624467523583310058490760719874"
+            big"-0.4080898675832881399369478084264191594976530854542904557798567397269356887436951" big"-0.1032324294981949906363774065395184125237581835226155628209100984396171211818558" big"-1.0795157507124452910839896877334667387210301781514938067860918240771876343947" big"0.9172086645212876240254394768180975107502376572771647296150618931226550446699544";
+            big"-0.1032324294981949906363774065395184125237581835226155628209100984396171211818558" big"-0.9819956883377066621250198846550622559246996804965712336465013506629992739010227" big"0.1882735697944729855991976669864503854920622386133987141371224931350749728226066" big"-0.1599663084136352437739757607131301560774255778371317602542426234968564801904052";
+            big"-1.0795157507124452910839896877334667387210301781514938067860918240771876343947" big"0.1882735697944729855991976669864503854920622386133987141371224931350749728226066" big"0.9688026817149176598146701814747478080649943014810992426739997593840858865727305" big"-1.672789745967021000172452940954243617442140494364475046869527486458478435262502";
+            big"0.9172086645212876240254394768180975107502376572771647296150618931226550446699544" big"-0.1599663084136352437739757607131301560774255778371317602542426234968564801904052" big"-1.672789745967021000172452940954243617442140494364475046869527486458478435262502" big"0.4212828742060771422472975116067336073573584644697624467523583310058490760719874"
         ])
         F = eigen(M)
         @test M * F.vectors ≈ F.vectors * Diagonal(F.values)
@@ -160,9 +148,12 @@ using Test, GenericLinearAlgebra, LinearAlgebra, Quaternions
     @testset "#133" begin
         A = SymTridiagonal{BigFloat}(randn(5), randn(4))
         T = Tridiagonal(A)
-        @test eigvals(A) == eigvals(T) == eigvals(A; sortby=LinearAlgebra.eigsortby) == eigvals(T; sortby=LinearAlgebra.eigsortby) ==  eigvals!(deepcopy(A); sortby=LinearAlgebra.eigsortby)
-        @test eigen(A).values == eigen(T).values == eigen(A; sortby=LinearAlgebra.eigsortby).values == eigen(T; sortby=LinearAlgebra.eigsortby).values
-        # compare abs to avoid sign issues
-        @test abs.(eigen(A).vectors) == abs.(eigen(T).vectors) == abs.(eigen(A; sortby=LinearAlgebra.eigsortby).vectors) == abs.(eigen(T; sortby=LinearAlgebra.eigsortby).vectors)
+        if VERSION ≥ v"1.10"
+            # The following depends on more recent behaviour of eigvals/eigen in stdlib
+            @test eigvals(A) == eigvals(T) == eigvals(A; sortby=LinearAlgebra.eigsortby) == eigvals(T; sortby=LinearAlgebra.eigsortby) ==  eigvals!(deepcopy(A); sortby=LinearAlgebra.eigsortby)
+            @test eigen(A).values == eigen(T).values == eigen(A; sortby=LinearAlgebra.eigsortby).values == eigen(T; sortby=LinearAlgebra.eigsortby).values
+            # compare abs to avoid sign issues
+            @test abs.(eigen(A).vectors) == abs.(eigen(T).vectors) == abs.(eigen(A; sortby=LinearAlgebra.eigsortby).vectors) == abs.(eigen(T; sortby=LinearAlgebra.eigsortby).vectors)
+        end
     end
 end