Use aliasing API for linear solves #224

Job	Run time
downgrade (1.10, core)	12m 0s
downgrade (1.10, adjoint)	8m 40s
downgrade (1.10, alloc_check)	5m 53s
test (1.10, ubuntu-latest, core)	11m 51s
test (1.10, ubuntu-latest, adjoint)	8m 24s
test (1.10, ubuntu-latest, alloc_check)	5m 55s
test (1.10, macos-latest, core)	6m 48s
test (1.10, macos-latest, adjoint)	5m 50s
test (1.10, macos-latest, alloc_check)	4m 42s
test (1.10, windows-latest, core)	12m 19s
test (1.10, windows-latest, adjoint)	10m 20s
test (1.10, windows-latest, alloc_check)	7m 40s
test (1, ubuntu-latest, core)	20m 26s
test (1, ubuntu-latest, adjoint)	13m 58s
test (1, ubuntu-latest, alloc_check)	11m 0s
test (1, macos-latest, core)	10m 24s
test (1, macos-latest, adjoint)	9m 51s
test (1, macos-latest, alloc_check)	8m 46s
test (1, windows-latest, core)	18m 47s
test (1, windows-latest, adjoint)	16m 24s
test (1, windows-latest, alloc_check)	11m 49s
	3h 41m 47s

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