IntelPython / dpnp / 7506315876

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Implement of dpnp.linalg.slogdet() (#1607)

* Add a new impl of dpnp.linalg._lu_factor

* Get dev_info_array after calling getrf

* Add an extra dev_info return to _lu_factor

* qwe

* Add a logic for a.ndim > 2 in _lu_factor

* Add an implementation of dpnp.linalg.slogdet

* Add a new test_norms.py file in cupy tests

* Expand test scope in public CI

* A small update _lu_factor func

* Remove w/a for dpnp.count_nonzero in slogdet

* getrf returns pair of events and uses dpctl.utils.keep_args_alive

* Update dpnp.linalg.det using slogdet

* Add new cupy tests for dpnp.linalg.det

* Add ipiv_vecs and dev_info_vecs in _lu_factor for the batch case

* Skip test_det on CPU due to bug in MKL

* Small update of cupy tests in test_norms.py

* Add support of complex dtype for dpnp.diagonal and update test_diagonal

* lu_factor func returns the result of LU decomposition as c-contiguous and add explanatory comments

* Add getrf_batch MKL extension

* Update docstring for slogdet

* Add more tests

* Remove accidentally added file

* Modify sign parameter calculation

* Remove the old backend implementation of dpnp_det

* qwe

* Keep lexographical order

* Add dpnp_slogdet to dpnp_utils_linalg

* Move _lu_factor above

* A minor update

* A minor changes for _lu_factor

* Remove trash files

* Use getrf_batch only on CPU

* Update tests for dpnp.linalg.slogdet

* Address remarks

* Add _real_type func

* Add test_det in test_usm_type

* Add more checks in getrf and getf_batch functions

* Improve error handler in getrf_impl

* Improve error handler in getrf_batch_impl

* dev_info is allocated as zeros

* Remove skipif for singular tests

* Implement _lu_factor logic with dev_info as a python list

* Update getrf_rf error handler with mkl_lapack::batch_error

* Remove passing n parameter to _getrf

* Add a new test_slogdet_singular_matrix_3D test

* Update tests for dpnp.l... (continued)

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