Add cho_factor and cho_solve to dpnp.scipy.linalg

doc/reference/linalg.rst

@@ -43,7 +43,6 @@ Decompositions
 
    linalg.cholesky
    linalg.qr
-   linalg.lu_factor
    linalg.svd
    linalg.svdvals
 
@@ -86,7 +85,6 @@ Solving linear equations
    linalg.solve
    linalg.tensorsolve
    linalg.lstsq
-   linalg.lu_solve
    linalg.inv
    linalg.pinv
    linalg.tensorinv

doc/reference/scipy_linalg.rst

@@ -12,6 +12,8 @@ Decompositions
    :toctree: generated/
    :nosignatures:
 
+   cho_factor
+   cho_solve
    lu
    lu_factor
    lu_solve

dpnp/backend/extensions/blas/CMakeLists.txt

@@ -34,6 +34,7 @@ set(_module_src
     ${CMAKE_CURRENT_SOURCE_DIR}/gemm_batch.cpp
     ${CMAKE_CURRENT_SOURCE_DIR}/gemv.cpp
     ${CMAKE_CURRENT_SOURCE_DIR}/syrk.cpp
+    ${CMAKE_CURRENT_SOURCE_DIR}/trsm_batch.cpp
 )
 
 pybind11_add_module(${python_module_name} MODULE ${_module_src})

dpnp/backend/extensions/blas/blas_py.cpp

@@ -43,6 +43,7 @@
 #include "gemm.hpp"
 #include "gemv.hpp"
 #include "syrk.hpp"
+#include "trsm.hpp"
 
 namespace blas_ns = dpnp::extensions::blas;
 namespace py = pybind11;
@@ -58,6 +59,7 @@ void init_dispatch_vectors_tables(void)
     blas_ns::init_gemm_dispatch_table();
     blas_ns::init_gemv_dispatch_vector();
     blas_ns::init_syrk_dispatch_vector();
+    blas_ns::init_trsm_batch_dispatch_vector();
 }
 
 static dot_impl_fn_ptr_t dot_dispatch_vector[dpnp_td_ns::num_types];
@@ -162,6 +164,17 @@ PYBIND11_MODULE(_blas_impl, m, py::mod_gil_not_used())
               py::arg("depends") = py::list());
     }
 
+    {
+        m.def("_trsm_batch", &blas_ns::trsm_batch,
+              "Call `trsm_batch` from oneMKL BLAS library to solve "
+              "op(A) X = B for a batch of triangular matrices A "
+              "(a 2-D A is shared by the batch). "
+              "trans_op picks op(A): 0=N, 1=T, 2=C.",
+              py::arg("sycl_queue"), py::arg("matrixA"), py::arg("matrixB"),
+              py::arg("upper_lower"), py::arg("trans_op") = 0,
+              py::arg("unit_diag") = false, py::arg("depends") = py::list());
+    }
+
     {
         m.def(
             "_using_onemath",

dpnp/backend/extensions/blas/trsm.hpp

@@ -0,0 +1,48 @@
+//*****************************************************************************
+// Copyright (c) 2026, Intel Corporation
+// All rights reserved.
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are met:
+// - Redistributions of source code must retain the above copyright notice,
+//   this list of conditions and the following disclaimer.
+// - Redistributions in binary form must reproduce the above copyright notice,
+//   this list of conditions and the following disclaimer in the documentation
+//   and/or other materials provided with the distribution.
+// - Neither the name of the copyright holder nor the names of its contributors
+//   may be used to endorse or promote products derived from this software
+//   without specific prior written permission.
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+// AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+// ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE
+// LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+// CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+// SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+// CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+// ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
+// THE POSSIBILITY OF SUCH DAMAGE.
+//*****************************************************************************
+
+#pragma once
+
+#include <oneapi/mkl.hpp>
+#include <sycl/sycl.hpp>
+
+#include "dpnp4pybind11.hpp"
+
+namespace dpnp::extensions::blas
+{
+extern std::pair<sycl::event, sycl::event>
+    trsm_batch(sycl::queue &exec_q,
+               const dpnp::tensor::usm_ndarray &matrixA,
+               const dpnp::tensor::usm_ndarray &matrixB,
+               const std::int8_t upper_lower,
+               const int trans_op,
+               const bool unit_diag,
+               const std::vector<sycl::event> &depends);
+
+extern void init_trsm_batch_dispatch_vector(void);
+} // namespace dpnp::extensions::blas

dpnp/backend/extensions/blas/trsm_batch.cpp

@@ -0,0 +1,265 @@
+//*****************************************************************************
+// Copyright (c) 2026, Intel Corporation
+// All rights reserved.
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are met:
+// - Redistributions of source code must retain the above copyright notice,
+//   this list of conditions and the following disclaimer.
+// - Redistributions in binary form must reproduce the above copyright notice,
+//   this list of conditions and the following disclaimer in the documentation
+//   and/or other materials provided with the distribution.
+// - Neither the name of the copyright holder nor the names of its contributors
+//   may be used to endorse or promote products derived from this software
+//   without specific prior written permission.
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+// AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+// ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE
+// LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+// CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+// SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+// CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+// ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
+// THE POSSIBILITY OF SUCH DAMAGE.
+//*****************************************************************************
+
+#include <stdexcept>
+
+#include <pybind11/pybind11.h>
+
+// utils extension header
+#include "ext/common.hpp"
+
+// dpnp tensor headers
+#include "utils/memory_overlap.hpp"
+#include "utils/output_validation.hpp"
+#include "utils/type_utils.hpp"
+
+#include "trsm.hpp"
+#include "types_matrix.hpp"
+
+namespace dpnp::extensions::blas
+{
+namespace mkl_blas = oneapi::mkl::blas;
+namespace py = pybind11;
+namespace type_utils = dpnp::tensor::type_utils;
+
+using ext::common::init_dispatch_vector;
+
+typedef sycl::event (*trsm_batch_impl_fn_ptr_t)(
+    sycl::queue &,
+    const oneapi::mkl::uplo,
+    const oneapi::mkl::transpose,
+    const oneapi::mkl::diag,
+    const std::int64_t, // m
+    const std::int64_t, // n
+    const char *,       // a
+    const std::int64_t, // lda
+    const std::int64_t, // stride_a
+    char *,             // b
+    const std::int64_t, // ldb
+    const std::int64_t, // stride_b
+    const std::int64_t, // batch_size
+    const std::vector<sycl::event> &);
+
+static trsm_batch_impl_fn_ptr_t
+    trsm_batch_dispatch_vector[dpnp_td_ns::num_types];
+
+template <typename T>
+static sycl::event trsm_batch_impl(sycl::queue &exec_q,
+                                   const oneapi::mkl::uplo upper_lower,
+                                   const oneapi::mkl::transpose trans,
+                                   const oneapi::mkl::diag unit_diag,
+                                   const std::int64_t m,
+                                   const std::int64_t n,
+                                   const char *matrixA,
+                                   const std::int64_t lda,
+                                   const std::int64_t stride_a,
+                                   char *matrixB,
+                                   const std::int64_t ldb,
+                                   const std::int64_t stride_b,
+                                   const std::int64_t batch_size,
+                                   const std::vector<sycl::event> &depends)
+{
+    type_utils::validate_type_for_device<T>(exec_q);
+
+    const T *a = reinterpret_cast<const T *>(matrixA);
+    T *b = reinterpret_cast<T *>(matrixB);
+
+    std::stringstream error_msg;
+    bool is_exception_caught = false;
+
+    sycl::event trsm_batch_event;
+    try {
+        // Release GIL to avoid serialization of host task submissions
+        // to the same queue in OneMKL
+        py::gil_scoped_release lock{};
+
+        trsm_batch_event = mkl_blas::column_major::trsm_batch(
+            exec_q,
+            oneapi::mkl::side::left, // op(A) is on the left: op(A) X = B
+            upper_lower,             // Whether A is upper or lower triangular.
+            trans,      // Defines op(A): 'N' for A, 'T' for A^T, or 'C'
+                        // for A^H.
+            unit_diag,  // Whether A is assumed to be unit triangular.
+            m,          // Number of rows of B, and the order of A.
+            n,          // Number of columns of B.
+            T(1),       // Scaling factor for B.
+            a,          // Pointer to the batch of triangular matrices A.
+            lda,        // Leading dimension of each matrix A.
+            stride_a,   // Stride between consecutive A matrices.
+            b,          // Pointer to the batch of matrices B, overwritten
+                        // by the solutions X.
+            ldb,        // Leading dimension of each matrix B.
+            stride_b,   // Stride between consecutive B matrices.
+            batch_size, // Total number of matrices in the batch.
+            depends);
+    } catch (oneapi::mkl::exception const &e) {
+        error_msg << "Unexpected MKL exception caught during trsm_batch() "
+                     "call:\nreason: "
+                  << e.what();
+        is_exception_caught = true;
+    } catch (sycl::exception const &e) {
+        error_msg
+            << "Unexpected SYCL exception caught during trsm_batch() call:\n"
+            << e.what();
+        is_exception_caught = true;
+    }
+
+    if (is_exception_caught) // an unexpected error occurs
+    {
+        throw std::runtime_error(error_msg.str());
+    }
+
+    return trsm_batch_event;
+}
+
+std::pair<sycl::event, sycl::event>
+    trsm_batch(sycl::queue &exec_q,
+               const dpnp::tensor::usm_ndarray &matrixA,
+               const dpnp::tensor::usm_ndarray &matrixB,
+               const std::int8_t upper_lower,
+               const int trans_op,
+               const bool unit_diag,
+               const std::vector<sycl::event> &depends)
+{
+    const int a_nd = matrixA.get_ndim();
+    const int b_nd = matrixB.get_ndim();
+
+    // batch is the last dimension: (m, m, batch) and (m, n, batch),
+    // a 2-D (m, m) matrix A is shared by all right-hand sides
+    if ((a_nd != 2 && a_nd != 3) || b_nd != 3) {
+        throw py::value_error(
+            "The triangular and right-hand sides arrays must be "
+            "2- or 3-dimensional and 3-dimensional, but got ndim=" +
+            std::to_string(a_nd) + " and ndim=" + std::to_string(b_nd) + ".");
+    }
+    if (trans_op < 0 || trans_op > 2) {
+        throw py::value_error(
+            "trsm_batch: trans_op must be 0 (N), 1 (T), or 2 (C).");
+    }
+
+    const py::ssize_t *a_shape = matrixA.get_shape_raw();
+    const py::ssize_t *b_shape = matrixB.get_shape_raw();
+
+    if (a_shape[0] != a_shape[1]) {
+        throw py::value_error("Expected batch of square matrices, but got "
+                              "matrix shape (" +
+                              std::to_string(a_shape[0]) + ", " +
+                              std::to_string(a_shape[1]) + ") in batch");
+    }
+    if (a_shape[0] != b_shape[0] || (a_nd == 3 && a_shape[2] != b_shape[2])) {
+        throw py::value_error("The shapes of the triangular and right-hand "
+                              "sides arrays are incompatible.");
+    }
+
+    // check compatibility of execution queue and allocation queue
+    if (!dpnp::utils::queues_are_compatible(exec_q, {matrixA, matrixB})) {
+        throw py::value_error(
+            "Execution queue is not compatible with allocation queues");
+    }
+
+    auto const &overlap = dpnp::tensor::overlap::MemoryOverlap();
+    if (overlap(matrixA, matrixB)) {
+        throw py::value_error("The triangular and right-hand sides arrays "
+                              "are overlapping segments of memory");
+    }
+
+    dpnp::tensor::validation::CheckWritable::throw_if_not_writable(matrixB);
+
+    if (!matrixA.is_f_contiguous() || !matrixB.is_f_contiguous()) {
+        throw py::value_error("The triangular and right-hand sides arrays "
+                              "must be F-contiguous");
+    }
+
+    auto array_types = dpnp_td_ns::usm_ndarray_types();
+    const int a_type_id =
+        array_types.typenum_to_lookup_id(matrixA.get_typenum());
+    const int b_type_id =
+        array_types.typenum_to_lookup_id(matrixB.get_typenum());
+
+    if (a_type_id != b_type_id) {
+        throw py::value_error("The types of the triangular and right-hand "
+                              "sides arrays are mismatched");
+    }
+
+    trsm_batch_impl_fn_ptr_t trsm_batch_fn =
+        trsm_batch_dispatch_vector[a_type_id];
+    if (trsm_batch_fn == nullptr) {
+        throw py::value_error(
+            "No trsm_batch implementation defined for the provided type "
+            "of the input matrix");
+    }
+
+    const std::int64_t m = a_shape[0];
+    const std::int64_t n = b_shape[1];
+    const std::int64_t batch_size = b_shape[2];
+
+    const std::int64_t lda = std::max<std::int64_t>(1, m);
+    const std::int64_t ldb = std::max<std::int64_t>(1, m);
+    // stride 0 reuses the shared matrix A for each batch element
+    const std::int64_t stride_a = (a_nd == 2) ? 0 : m * m;
+    const std::int64_t stride_b = m * n;
+
+    const oneapi::mkl::uplo uplo_val =
+        static_cast<oneapi::mkl::uplo>(upper_lower);
+    const oneapi::mkl::transpose trans =
+        (trans_op == 0)   ? oneapi::mkl::transpose::N
+        : (trans_op == 1) ? oneapi::mkl::transpose::T
+                          : oneapi::mkl::transpose::C;
+    const oneapi::mkl::diag diag_val =
+        unit_diag ? oneapi::mkl::diag::unit : oneapi::mkl::diag::nonunit;
+
+    sycl::event trsm_batch_ev = trsm_batch_fn(
+        exec_q, uplo_val, trans, diag_val, m, n, matrixA.get_data(), lda,
+        stride_a, matrixB.get_data(), ldb, stride_b, batch_size, depends);
+
+    sycl::event args_ev = dpnp::utils::keep_args_alive(
+        exec_q, {matrixA, matrixB}, {trsm_batch_ev});
+
+    return std::make_pair(args_ev, trsm_batch_ev);
+}
+
+template <typename fnT, typename T>
+struct TrsmBatchContigFactory
+{
+    fnT get()
+    {
+        if constexpr (types::TrsmBatchTypePairSupportFactory<T>::is_defined) {
+            return trsm_batch_impl<T>;
+        }
+        else {
+            return nullptr;
+        }
+    }
+};
+
+void init_trsm_batch_dispatch_vector(void)
+{
+    init_dispatch_vector<trsm_batch_impl_fn_ptr_t, TrsmBatchContigFactory>(
+        trsm_batch_dispatch_vector);
+}
+} // namespace dpnp::extensions::blas