Change default solver for eigsolve and add GPU tests #1316

	name: Benchmark Tracking
	on:
	push:
	branches:
	- 'main'
	paths:
	- '.github/workflows/Benchmarks.yml'
	- 'src/**'
	- 'ext/**'
	- 'benchmarks/**'
	- 'Project.toml'
	pull_request:
	branches:
	- 'main'
	paths:
	- '.github/workflows/Benchmarks.yml'
	- 'src/**'
	- 'ext/**'
	- 'benchmarks/**'
	- 'Project.toml'
	types:
	- opened
	- reopened
	- synchronize
	- ready_for_review

	permissions:
	actions: write
	contents: write
	deployments: write

	jobs:
	benchmark:
	runs-on: ubuntu-latest
	if: ${{ !github.event.pull_request.draft }}
	steps:
	- uses: actions/checkout@v5
	- uses: julia-actions/setup-julia@v2
	with:
	version: '1.11'
	arch: x64
	- uses: julia-actions/cache@v2
	- name: Run benchmark
	run: \|
	cd benchmarks
	julia --project --threads=2 --color=yes -e '
	using Pkg;
	Pkg.develop(PackageSpec(path=joinpath(pwd(), "..")));
	Pkg.instantiate();
	include("runbenchmarks.jl")'

	# this will update benchmarks/data.js in gh-pages branch
	- name: Parse & Upload Benchmark Results
	uses: benchmark-action/github-action-benchmark@v1
	with:
	name: Benchmark Results
	tool: "julia"
	output-file-path: benchmarks/benchmarks_output.json
	github-token: ${{ secrets.GITHUB_TOKEN }}
	alert-threshold: "130%"
	fail-threshold: "170%"
	comment-on-alert: true
	fail-on-alert: true
	benchmark-data-dir-path: benchmarks
	max-items-in-chart: 100
	auto-push: ${{ github.event_name != 'pull_request' }}

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