Julia Dependency Update (#264)

Automated changes by [create-pull-request](https://github.com/peter-evans/create-pull-request) GitHub action

Manifest.toml

@@ -162,10 +162,14 @@ version = "13.5.0"
     HomotopyContinuation = "f213a82b-91d6-5c5d-acf7-10f1c761b327"
 
 [[deps.ChainRulesCore]]
-deps = ["Compat", "LinearAlgebra", "SparseArrays"]
-git-tree-sha1 = "b66b8f8e3db5d7835fb8cbe2589ffd1cd456e491"
+deps = ["Compat", "LinearAlgebra"]
+git-tree-sha1 = "e0af648f0692ec1691b5d094b8724ba1346281cf"
 uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
-version = "1.17.0"
+version = "1.18.0"
+weakdeps = ["SparseArrays"]
+
+    [deps.ChainRulesCore.extensions]
+    ChainRulesCoreSparseArraysExt = "SparseArrays"
 
 [[deps.CloseOpenIntervals]]
 deps = ["Static", "StaticArrayInterface"]
@@ -988,9 +992,9 @@ uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 
 [[deps.LinearSolve]]
 deps = ["ArrayInterface", "ConcreteStructs", "DocStringExtensions", "EnumX", "EnzymeCore", "FastLapackInterface", "GPUArraysCore", "InteractiveUtils", "KLU", "Krylov", "Libdl", "LinearAlgebra", "MKL_jll", "PrecompileTools", "Preferences", "RecursiveFactorization", "Reexport", "Requires", "SciMLBase", "SciMLOperators", "Setfield", "SparseArrays", "Sparspak", "SuiteSparse", "UnPack"]
-git-tree-sha1 = "435ab14ca589757a0feae6e3e347bc37addda42d"
+git-tree-sha1 = "9f27ba34f5821a0495efb09ea3a465c31326495a"
 uuid = "7ed4a6bd-45f5-4d41-b270-4a48e9bafcae"
-version = "2.9.2"
+version = "2.10.0"
 
     [deps.LinearSolve.extensions]
     LinearSolveBlockDiagonalsExt = "BlockDiagonals"
@@ -1232,9 +1236,9 @@ version = "10.42.0+0"
 
 [[deps.PDMats]]
 deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
-git-tree-sha1 = "3d8af7d689bd228a3a6c2298a4e6d5f5944accb8"
+git-tree-sha1 = "66b2fcd977db5329aa35cac121e5b94dd6472198"
 uuid = "90014a1f-27ba-587c-ab20-58faa44d9150"
-version = "0.11.26"
+version = "0.11.28"
 
 [[deps.PackageExtensionCompat]]
 git-tree-sha1 = "fb28e33b8a95c4cee25ce296c817d89cc2e53518"
@@ -1586,9 +1590,9 @@ version = "1.1.0"
 
 [[deps.SimpleNonlinearSolve]]
 deps = ["ArrayInterface", "DiffEqBase", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "PackageExtensionCompat", "PrecompileTools", "Reexport", "SciMLBase", "StaticArraysCore"]
-git-tree-sha1 = "4d53b83af904049c493daaf2a225bcae994a3c59"
+git-tree-sha1 = "e308d089f5d0e733a017b61784c5813e672f760d"
 uuid = "727e6d20-b764-4bd8-a329-72de5adea6c7"
-version = "0.1.20"
+version = "0.1.22"
 
     [deps.SimpleNonlinearSolve.extensions]
     SimpleNonlinearSolveNNlibExt = "NNlib"
@@ -1779,10 +1783,10 @@ uuid = "d1185830-fcd6-423d-90d6-eec64667417b"
 version = "1.4.0"
 
 [[deps.Symbolics]]
-deps = ["ArrayInterface", "Bijections", "ConstructionBase", "DataStructures", "DiffRules", "Distributions", "DocStringExtensions", "DomainSets", "DynamicPolynomials", "Groebner", "IfElse", "LaTeXStrings", "LambertW", "Latexify", "Libdl", "LinearAlgebra", "LogExpFunctions", "MacroTools", "Markdown", "NaNMath", "PrecompileTools", "RecipesBase", "Reexport", "Requires", "RuntimeGeneratedFunctions", "SciMLBase", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicUtils", "TreeViews"]
-git-tree-sha1 = "3451481f839816c37150a8014e4c4c1278aa1a66"
+deps = ["ArrayInterface", "Bijections", "ConstructionBase", "DataStructures", "DiffRules", "Distributions", "DocStringExtensions", "DomainSets", "DynamicPolynomials", "Groebner", "IfElse", "LaTeXStrings", "LambertW", "Latexify", "Libdl", "LinearAlgebra", "LogExpFunctions", "MacroTools", "Markdown", "NaNMath", "PrecompileTools", "RecipesBase", "RecursiveArrayTools", "Reexport", "Requires", "RuntimeGeneratedFunctions", "SciMLBase", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicUtils", "TreeViews"]
+git-tree-sha1 = "4d4e922e160827388c003a9a088a4c63f339f6c0"
 uuid = "0c5d862f-8b57-4792-8d23-62f2024744c7"
-version = "5.9.0"
+version = "5.10.0"
 
     [deps.Symbolics.extensions]
     SymbolicsSymPyExt = "SymPy"