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.. meta::
:description: rocSOLVER LAPACK-like functions API documentation
:keywords: rocSOLVER, ROCm, API, documentation, LAPACK-like functions
.. _lapack-like:
********************************
rocSOLVER LAPACK-like functions
********************************
Other LAPACK-like routines are provided by rocSOLVER. They are divided into the following subcategories:
* :ref:`liketriangular`: Based on Gaussian elimination.
* :ref:`likelinears`: Based on triangular factorizations.
* :ref:`likeeigens`: Eigenproblems for symmetric matrices.
* :ref:`likesvds`: Singular values and related problems for general matrices.
.. note::
The API descriptions use the following notations:
* ``i``, ``j``, and ``k`` are used as general purpose indices. In some legacy LAPACK APIs, ``k`` can be
a parameter indicating some problem or matrix dimension.
* Depending on the context, when it is necessary to index rows, columns, and blocks or submatrices,
``i`` is assigned to rows, ``j`` to columns, and ``k`` to blocks. ``l`` is always used to index
matrices or problems in a batch.
* ``x[i]`` stands for the i-th element of vector x, while ``A[i,j]`` represents the element
in the i-th row and j-th column of matrix ``A``. Indices are 1-based, for instance, ``x[1]`` is the first
element of ``x``.
* To identify a block in a matrix or a matrix in the batch, ``k`` and ``l`` are used as sub-indices
* ``x_i`` :math:`=x_i`. Both notations are used, :math:`x_i` when displaying mathematical
equations and ``x_i`` in the text describing the function parameters.
* If ``X`` is a real vector or matrix, :math:`X^T` indicates its transpose. If ``X`` is complex, then
:math:`X^H` represents its conjugate transpose. When ``X`` could be real or complex, the descriptions use ``X'`` to
indicate ``X`` transposed or ``X`` conjugate transposed, accordingly.
* When a matrix ``A`` is formed as the product of several matrices, the following notation is used:
``A=M(1)M(2)...M(t)``.
.. _liketriangular:
Triangular factorizations
===========================
.. contents:: List of LAPACK-like triangular factorizations
:local:
:backlinks: top
.. _getf2_npvt:
rocsolver_<type>getf2_npvt()
--------------------------------------------------------
.. doxygenfunction:: rocsolver_zgetf2_npvt_64
:outline:
.. doxygenfunction:: rocsolver_cgetf2_npvt_64
:outline:
.. doxygenfunction:: rocsolver_dgetf2_npvt_64
:outline:
.. doxygenfunction:: rocsolver_sgetf2_npvt_64
:outline:
.. doxygenfunction:: rocsolver_zgetf2_npvt
:outline:
.. doxygenfunction:: rocsolver_cgetf2_npvt
:outline:
.. doxygenfunction:: rocsolver_dgetf2_npvt
:outline:
.. doxygenfunction:: rocsolver_sgetf2_npvt
rocsolver_<type>getf2_npvt_batched()
--------------------------------------------------------
.. doxygenfunction:: rocsolver_zgetf2_npvt_batched_64
:outline:
.. doxygenfunction:: rocsolver_cgetf2_npvt_batched_64
:outline:
.. doxygenfunction:: rocsolver_dgetf2_npvt_batched_64
:outline:
.. doxygenfunction:: rocsolver_sgetf2_npvt_batched_64
:outline:
.. doxygenfunction:: rocsolver_zgetf2_npvt_batched
:outline:
.. doxygenfunction:: rocsolver_cgetf2_npvt_batched
:outline:
.. doxygenfunction:: rocsolver_dgetf2_npvt_batched
:outline:
.. doxygenfunction:: rocsolver_sgetf2_npvt_batched
rocsolver_<type>getf2_npvt_strided_batched()
--------------------------------------------------------
.. doxygenfunction:: rocsolver_zgetf2_npvt_strided_batched_64
:outline:
.. doxygenfunction:: rocsolver_cgetf2_npvt_strided_batched_64
:outline:
.. doxygenfunction:: rocsolver_dgetf2_npvt_strided_batched_64
:outline:
.. doxygenfunction:: rocsolver_sgetf2_npvt_strided_batched_64
:outline:
.. doxygenfunction:: rocsolver_zgetf2_npvt_strided_batched
:outline:
.. doxygenfunction:: rocsolver_cgetf2_npvt_strided_batched
:outline:
.. doxygenfunction:: rocsolver_dgetf2_npvt_strided_batched
:outline:
.. doxygenfunction:: rocsolver_sgetf2_npvt_strided_batched
.. _getrf_npvt:
rocsolver_<type>getrf_npvt()
--------------------------------------------------------
.. doxygenfunction:: rocsolver_zgetrf_npvt_64
:outline:
.. doxygenfunction:: rocsolver_cgetrf_npvt_64
:outline:
.. doxygenfunction:: rocsolver_dgetrf_npvt_64
:outline:
.. doxygenfunction:: rocsolver_sgetrf_npvt_64
:outline:
.. doxygenfunction:: rocsolver_zgetrf_npvt
:outline:
.. doxygenfunction:: rocsolver_cgetrf_npvt
:outline:
.. doxygenfunction:: rocsolver_dgetrf_npvt
:outline:
.. doxygenfunction:: rocsolver_sgetrf_npvt
rocsolver_<type>getrf_npvt_batched()
--------------------------------------------------------
.. doxygenfunction:: rocsolver_zgetrf_npvt_batched_64
:outline:
.. doxygenfunction:: rocsolver_cgetrf_npvt_batched_64
:outline:
.. doxygenfunction:: rocsolver_dgetrf_npvt_batched_64
:outline:
.. doxygenfunction:: rocsolver_sgetrf_npvt_batched_64
:outline:
.. doxygenfunction:: rocsolver_zgetrf_npvt_batched
:outline:
.. doxygenfunction:: rocsolver_cgetrf_npvt_batched
:outline:
.. doxygenfunction:: rocsolver_dgetrf_npvt_batched
:outline:
.. doxygenfunction:: rocsolver_sgetrf_npvt_batched
rocsolver_<type>getrf_npvt_strided_batched()
--------------------------------------------------------
.. doxygenfunction:: rocsolver_zgetrf_npvt_strided_batched_64
:outline:
.. doxygenfunction:: rocsolver_cgetrf_npvt_strided_batched_64
:outline:
.. doxygenfunction:: rocsolver_dgetrf_npvt_strided_batched_64
:outline:
.. doxygenfunction:: rocsolver_sgetrf_npvt_strided_batched_64
:outline:
.. doxygenfunction:: rocsolver_zgetrf_npvt_strided_batched
:outline:
.. doxygenfunction:: rocsolver_cgetrf_npvt_strided_batched
:outline:
.. doxygenfunction:: rocsolver_dgetrf_npvt_strided_batched
:outline:
.. doxygenfunction:: rocsolver_sgetrf_npvt_strided_batched
.. _geblttrf_npvt:
rocsolver_<type>geblttrf_npvt()
--------------------------------------------------------
.. doxygenfunction:: rocsolver_zgeblttrf_npvt
:outline:
.. doxygenfunction:: rocsolver_cgeblttrf_npvt
:outline:
.. doxygenfunction:: rocsolver_dgeblttrf_npvt
:outline:
.. doxygenfunction:: rocsolver_sgeblttrf_npvt
rocsolver_<type>geblttrf_npvt_batched()
--------------------------------------------------------
.. doxygenfunction:: rocsolver_zgeblttrf_npvt_batched
:outline:
.. doxygenfunction:: rocsolver_cgeblttrf_npvt_batched
:outline:
.. doxygenfunction:: rocsolver_dgeblttrf_npvt_batched
:outline:
.. doxygenfunction:: rocsolver_sgeblttrf_npvt_batched
rocsolver_<type>geblttrf_npvt_strided_batched()
--------------------------------------------------------
.. doxygenfunction:: rocsolver_zgeblttrf_npvt_strided_batched
:outline:
.. doxygenfunction:: rocsolver_cgeblttrf_npvt_strided_batched
:outline:
.. doxygenfunction:: rocsolver_dgeblttrf_npvt_strided_batched
:outline:
.. doxygenfunction:: rocsolver_sgeblttrf_npvt_strided_batched
rocsolver_<type>geblttrf_npvt_interleaved_batched()
--------------------------------------------------------
.. doxygenfunction:: rocsolver_zgeblttrf_npvt_interleaved_batched
:outline:
.. doxygenfunction:: rocsolver_cgeblttrf_npvt_interleaved_batched
:outline:
.. doxygenfunction:: rocsolver_dgeblttrf_npvt_interleaved_batched
:outline:
.. doxygenfunction:: rocsolver_sgeblttrf_npvt_interleaved_batched
.. _likelinears:
Linear-systems solvers
========================
.. contents:: List of LAPACK-like linear solvers
:local:
:backlinks: top
.. _getri_npvt:
rocsolver_<type>getri_npvt()
--------------------------------------------------------
.. doxygenfunction:: rocsolver_zgetri_npvt
:outline:
.. doxygenfunction:: rocsolver_cgetri_npvt
:outline:
.. doxygenfunction:: rocsolver_dgetri_npvt
:outline:
.. doxygenfunction:: rocsolver_sgetri_npvt
rocsolver_<type>getri_npvt_batched()
--------------------------------------------------------
.. doxygenfunction:: rocsolver_zgetri_npvt_batched
:outline:
.. doxygenfunction:: rocsolver_cgetri_npvt_batched
:outline:
.. doxygenfunction:: rocsolver_dgetri_npvt_batched
:outline:
.. doxygenfunction:: rocsolver_sgetri_npvt_batched
rocsolver_<type>getri_npvt_strided_batched()
--------------------------------------------------------
.. doxygenfunction:: rocsolver_zgetri_npvt_strided_batched
:outline:
.. doxygenfunction:: rocsolver_cgetri_npvt_strided_batched
:outline:
.. doxygenfunction:: rocsolver_dgetri_npvt_strided_batched
:outline:
.. doxygenfunction:: rocsolver_sgetri_npvt_strided_batched
.. _getri_outofplace:
rocsolver_<type>getri_outofplace()
--------------------------------------------------------
.. doxygenfunction:: rocsolver_zgetri_outofplace
:outline:
.. doxygenfunction:: rocsolver_cgetri_outofplace
:outline:
.. doxygenfunction:: rocsolver_dgetri_outofplace
:outline:
.. doxygenfunction:: rocsolver_sgetri_outofplace
rocsolver_<type>getri_outofplace_batched()
--------------------------------------------------------
.. doxygenfunction:: rocsolver_zgetri_outofplace_batched
:outline:
.. doxygenfunction:: rocsolver_cgetri_outofplace_batched
:outline:
.. doxygenfunction:: rocsolver_dgetri_outofplace_batched
:outline:
.. doxygenfunction:: rocsolver_sgetri_outofplace_batched
rocsolver_<type>getri_outofplace_strided_batched()
--------------------------------------------------------
.. doxygenfunction:: rocsolver_zgetri_outofplace_strided_batched
:outline:
.. doxygenfunction:: rocsolver_cgetri_outofplace_strided_batched
:outline:
.. doxygenfunction:: rocsolver_dgetri_outofplace_strided_batched
:outline:
.. doxygenfunction:: rocsolver_sgetri_outofplace_strided_batched
.. _getri_npvt_outofplace:
rocsolver_<type>getri_npvt_outofplace()
--------------------------------------------------------
.. doxygenfunction:: rocsolver_zgetri_npvt_outofplace
:outline:
.. doxygenfunction:: rocsolver_cgetri_npvt_outofplace
:outline:
.. doxygenfunction:: rocsolver_dgetri_npvt_outofplace
:outline:
.. doxygenfunction:: rocsolver_sgetri_npvt_outofplace
rocsolver_<type>getri_npvt_outofplace_batched()
--------------------------------------------------------
.. doxygenfunction:: rocsolver_zgetri_npvt_outofplace_batched
:outline:
.. doxygenfunction:: rocsolver_cgetri_npvt_outofplace_batched
:outline:
.. doxygenfunction:: rocsolver_dgetri_npvt_outofplace_batched
:outline:
.. doxygenfunction:: rocsolver_sgetri_npvt_outofplace_batched
rocsolver_<type>getri_npvt_outofplace_strided_batched()
--------------------------------------------------------
.. doxygenfunction:: rocsolver_zgetri_npvt_outofplace_strided_batched
:outline:
.. doxygenfunction:: rocsolver_cgetri_npvt_outofplace_strided_batched
:outline:
.. doxygenfunction:: rocsolver_dgetri_npvt_outofplace_strided_batched
:outline:
.. doxygenfunction:: rocsolver_sgetri_npvt_outofplace_strided_batched
.. _geblttrs_npvt:
rocsolver_<type>geblttrs_npvt()
--------------------------------------------------------
.. doxygenfunction:: rocsolver_zgeblttrs_npvt
:outline:
.. doxygenfunction:: rocsolver_cgeblttrs_npvt
:outline:
.. doxygenfunction:: rocsolver_dgeblttrs_npvt
:outline:
.. doxygenfunction:: rocsolver_sgeblttrs_npvt
rocsolver_<type>geblttrs_npvt_batched()
--------------------------------------------------------
.. doxygenfunction:: rocsolver_zgeblttrs_npvt_batched
:outline:
.. doxygenfunction:: rocsolver_cgeblttrs_npvt_batched
:outline:
.. doxygenfunction:: rocsolver_dgeblttrs_npvt_batched
:outline:
.. doxygenfunction:: rocsolver_sgeblttrs_npvt_batched
rocsolver_<type>geblttrs_npvt_strided_batched()
--------------------------------------------------------
.. doxygenfunction:: rocsolver_zgeblttrs_npvt_strided_batched
:outline:
.. doxygenfunction:: rocsolver_cgeblttrs_npvt_strided_batched
:outline:
.. doxygenfunction:: rocsolver_dgeblttrs_npvt_strided_batched
:outline:
.. doxygenfunction:: rocsolver_sgeblttrs_npvt_strided_batched
rocsolver_<type>geblttrs_npvt_interleaved_batched()
--------------------------------------------------------
.. doxygenfunction:: rocsolver_zgeblttrs_npvt_interleaved_batched
:outline:
.. doxygenfunction:: rocsolver_cgeblttrs_npvt_interleaved_batched
:outline:
.. doxygenfunction:: rocsolver_dgeblttrs_npvt_interleaved_batched
:outline:
.. doxygenfunction:: rocsolver_sgeblttrs_npvt_interleaved_batched
.. _likeeigens:
Symmetric eigensolvers
================================
.. contents:: List of LAPACK-like symmetric eigensolvers
:local:
:backlinks: top
.. _syevj:
rocsolver_<type>syevj()
---------------------------------------------------
.. doxygenfunction:: rocsolver_dsyevj
:outline:
.. doxygenfunction:: rocsolver_ssyevj
rocsolver_<type>syevj_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_dsyevj_batched
:outline:
.. doxygenfunction:: rocsolver_ssyevj_batched
rocsolver_<type>syevj_strided_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_dsyevj_strided_batched
:outline:
.. doxygenfunction:: rocsolver_ssyevj_strided_batched
.. _heevj:
rocsolver_<type>heevj()
---------------------------------------------------
.. doxygenfunction:: rocsolver_zheevj
:outline:
.. doxygenfunction:: rocsolver_cheevj
rocsolver_<type>heevj_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_zheevj_batched
:outline:
.. doxygenfunction:: rocsolver_cheevj_batched
rocsolver_<type>heevj_strided_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_zheevj_strided_batched
:outline:
.. doxygenfunction:: rocsolver_cheevj_strided_batched
.. _sygvj:
rocsolver_<type>sygvj()
---------------------------------------------------
.. doxygenfunction:: rocsolver_dsygvj
:outline:
.. doxygenfunction:: rocsolver_ssygvj
rocsolver_<type>sygvj_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_dsygvj_batched
:outline:
.. doxygenfunction:: rocsolver_ssygvj_batched
rocsolver_<type>sygvj_strided_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_dsygvj_strided_batched
:outline:
.. doxygenfunction:: rocsolver_ssygvj_strided_batched
.. _hegvj:
rocsolver_<type>hegvj()
---------------------------------------------------
.. doxygenfunction:: rocsolver_zhegvj
:outline:
.. doxygenfunction:: rocsolver_chegvj
rocsolver_<type>hegvj_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_zhegvj_batched
:outline:
.. doxygenfunction:: rocsolver_chegvj_batched
rocsolver_<type>hegvj_strided_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_zhegvj_strided_batched
:outline:
.. doxygenfunction:: rocsolver_chegvj_strided_batched
.. _syevdj:
rocsolver_<type>syevdj()
---------------------------------------------------
.. doxygenfunction:: rocsolver_dsyevdj
:outline:
.. doxygenfunction:: rocsolver_ssyevdj
rocsolver_<type>syevdj_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_dsyevdj_batched
:outline:
.. doxygenfunction:: rocsolver_ssyevdj_batched
rocsolver_<type>syevdj_strided_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_dsyevdj_strided_batched
:outline:
.. doxygenfunction:: rocsolver_ssyevdj_strided_batched
.. _heevdj:
rocsolver_<type>heevdj()
---------------------------------------------------
.. doxygenfunction:: rocsolver_zheevdj
:outline:
.. doxygenfunction:: rocsolver_cheevdj
rocsolver_<type>heevdj_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_zheevdj_batched
:outline:
.. doxygenfunction:: rocsolver_cheevdj_batched
rocsolver_<type>heevdj_strided_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_zheevdj_strided_batched
:outline:
.. doxygenfunction:: rocsolver_cheevdj_strided_batched
.. _sygvdj:
rocsolver_<type>sygvdj()
---------------------------------------------------
.. doxygenfunction:: rocsolver_dsygvdj
:outline:
.. doxygenfunction:: rocsolver_ssygvdj
rocsolver_<type>sygvdj_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_dsygvdj_batched
:outline:
.. doxygenfunction:: rocsolver_ssygvdj_batched
rocsolver_<type>sygvdj_strided_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_dsygvdj_strided_batched
:outline:
.. doxygenfunction:: rocsolver_ssygvdj_strided_batched
.. _hegvdj:
rocsolver_<type>hegvdj()
---------------------------------------------------
.. doxygenfunction:: rocsolver_zhegvdj
:outline:
.. doxygenfunction:: rocsolver_chegvdj
rocsolver_<type>hegvdj_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_zhegvdj_batched
:outline:
.. doxygenfunction:: rocsolver_chegvdj_batched
rocsolver_<type>hegvdj_strided_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_zhegvdj_strided_batched
:outline:
.. doxygenfunction:: rocsolver_chegvdj_strided_batched
.. _syevdx:
rocsolver_<type>syevdx()
---------------------------------------------------
.. doxygenfunction:: rocsolver_dsyevdx
:outline:
.. doxygenfunction:: rocsolver_ssyevdx
rocsolver_<type>syevdx_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_dsyevdx_batched
:outline:
.. doxygenfunction:: rocsolver_ssyevdx_batched
rocsolver_<type>syevdx_strided_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_dsyevdx_strided_batched
:outline:
.. doxygenfunction:: rocsolver_ssyevdx_strided_batched
.. _heevdx:
rocsolver_<type>heevdx()
---------------------------------------------------
.. doxygenfunction:: rocsolver_zheevdx
:outline:
.. doxygenfunction:: rocsolver_cheevdx
rocsolver_<type>heevdx_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_zheevdx_batched
:outline:
.. doxygenfunction:: rocsolver_cheevdx_batched
rocsolver_<type>heevdx_strided_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_zheevdx_strided_batched
:outline:
.. doxygenfunction:: rocsolver_cheevdx_strided_batched
.. _sygvdx:
rocsolver_<type>sygvdx()
---------------------------------------------------
.. doxygenfunction:: rocsolver_dsygvdx
:outline:
.. doxygenfunction:: rocsolver_ssygvdx
rocsolver_<type>sygvdx_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_dsygvdx_batched
:outline:
.. doxygenfunction:: rocsolver_ssygvdx_batched
rocsolver_<type>sygvdx_strided_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_dsygvdx_strided_batched
:outline:
.. doxygenfunction:: rocsolver_ssygvdx_strided_batched
.. _hegvdx:
rocsolver_<type>hegvdx()
---------------------------------------------------
.. doxygenfunction:: rocsolver_zhegvdx
:outline:
.. doxygenfunction:: rocsolver_chegvdx
rocsolver_<type>hegvdx_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_zhegvdx_batched
:outline:
.. doxygenfunction:: rocsolver_chegvdx_batched
rocsolver_<type>hegvdx_strided_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_zhegvdx_strided_batched
:outline:
.. doxygenfunction:: rocsolver_chegvdx_strided_batched
.. _likesvds:
Singular value decomposition
================================
.. contents:: List of LAPACK-like SVD-related functions
:local:
:backlinks: top
.. _gesvdj:
rocsolver_<type>gesvdj()
---------------------------------------------------
.. doxygenfunction:: rocsolver_zgesvdj
:outline:
.. doxygenfunction:: rocsolver_cgesvdj
:outline:
.. doxygenfunction:: rocsolver_dgesvdj
:outline:
.. doxygenfunction:: rocsolver_sgesvdj
rocsolver_<type>gesvdj_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_zgesvdj_batched
:outline:
.. doxygenfunction:: rocsolver_cgesvdj_batched
:outline:
.. doxygenfunction:: rocsolver_dgesvdj_batched
:outline:
.. doxygenfunction:: rocsolver_sgesvdj_batched
rocsolver_<type>gesvdj_strided_batched()
---------------------------------------------------
.. doxygenfunction:: rocsolver_zgesvdj_strided_batched
:outline:
.. doxygenfunction:: rocsolver_cgesvdj_strided_batched
:outline:
.. doxygenfunction:: rocsolver_dgesvdj_strided_batched
:outline:
.. doxygenfunction:: rocsolver_sgesvdj_strided_batched