diff --git a/Modules/FindBLAS.cmake b/Modules/FindBLAS.cmake
index f16d176ce2e26eaed50debfabb075bc741b03c3e..70a572726cb3885c6aad61108d801aaddd83abe0 100644
--- a/Modules/FindBLAS.cmake
+++ b/Modules/FindBLAS.cmake
@@ -75,6 +75,9 @@ This module defines the following variables:
   to use BLAS95 interface
 ``BLAS95_FOUND``
   library implementing the BLAS95 interface is found
+``BLAS_VENDOR_NAME``
+  .. versionadded:: 3.22
+  vendor's name of found library implementing the BLAS interface
 
 .. _`BLAS/LAPACK Vendors`:
 
@@ -326,9 +329,9 @@ function(CHECK_BLAS_LIBRARIES LIBRARIES _prefix _name _flags _list _deps _addlib
       list(APPEND _libraries "${_library}")
     else()
       string(REGEX REPLACE "[^A-Za-z0-9]" "_" _lib_var "${_library}")
-      set(_combined_name ${_combined_name}_${_lib_var})
+      string(APPEND _combined_name "_${_lib_var}")
       if(NOT "${_deps}" STREQUAL "")
-        set(_combined_name ${_combined_name}_deps)
+        string(APPEND _combined_name "_deps")
       endif()
       if(_libraries_work)
         find_library(${_prefix}_${_lib_var}_LIBRARY
@@ -346,7 +349,7 @@ function(CHECK_BLAS_LIBRARIES LIBRARIES _prefix _name _flags _list _deps _addlib
 
   foreach(_flag ${_flags})
     string(REGEX REPLACE "[^A-Za-z0-9]" "_" _flag_var "${_flag}")
-    set(_combined_name ${_combined_name}_${_flag_var})
+    string(APPEND _combined_name "_${_flag_var}")
   endforeach()
   if(_libraries_work)
     # Test this combination of libraries.
@@ -396,9 +399,12 @@ else()
   message(FATAL_ERROR "BLA_SIZEOF_INTEGER can have only <no value>, ANY, 4, or 8 values")
 endif()
 
+set(_blas_vendor_name "")
+
 # Implicitly linked BLAS libraries?
 if(BLA_VENDOR STREQUAL "All")
   if(NOT BLAS_LIBRARIES)
+    set(_blas_vendor_name "Implicit")
     check_blas_libraries(
       BLAS_LIBRARIES
       BLAS
@@ -420,6 +426,7 @@ endif()
 # BLAS in the Intel MKL 10+ library?
 if(BLA_VENDOR MATCHES "Intel" OR BLA_VENDOR STREQUAL "All")
   if(NOT BLAS_LIBRARIES)
+    set(_blas_vendor_name "Intel")
     if(CMAKE_C_COMPILER_LOADED OR CMAKE_CXX_COMPILER_LOADED)
       # System-specific settings
       if(WIN32)
@@ -690,6 +697,7 @@ endif()
 # gotoblas? (http://www.tacc.utexas.edu/tacc-projects/gotoblas2)
 if(BLA_VENDOR STREQUAL "Goto" OR BLA_VENDOR STREQUAL "All")
   if(NOT BLAS_LIBRARIES)
+    set(_blas_vendor_name "Goto")
     check_blas_libraries(
       BLAS_LIBRARIES
       BLAS
@@ -712,6 +720,7 @@ if(BLA_VENDOR STREQUAL "FlexiBLAS" OR BLA_VENDOR STREQUAL "All")
   endif()
 
   if(NOT BLAS_LIBRARIES)
+    set(_blas_vendor_name "FlexiBLAS")
     check_blas_libraries(
       BLAS_LIBRARIES
       BLAS
@@ -736,6 +745,7 @@ if(BLA_VENDOR STREQUAL "OpenBLAS" OR BLA_VENDOR STREQUAL "All")
   endif()
 
   if(NOT BLAS_LIBRARIES)
+    set(_blas_vendor_name "OpenBLAS")
     check_blas_libraries(
       BLAS_LIBRARIES
       BLAS
@@ -797,20 +807,21 @@ if(BLA_VENDOR MATCHES "Arm" OR BLA_VENDOR STREQUAL "All")
 
    # Check for OpenMP support, VIA BLA_VENDOR of Arm_mp or Arm_ipl64_mp
    if(BLA_VENDOR MATCHES "_mp")
-     set(_blas_armpl_lib "${_blas_armpl_lib}_mp")
+     string(APPEND _blas_armpl_lib "_mp")
    endif()
 
    if(NOT BLAS_LIBRARIES)
-    check_blas_libraries(
-      BLAS_LIBRARIES
-      BLAS
-      sgemm
-      ""
-      "${_blas_armpl_lib}"
-      ""
-      ""
-      ""
-      )
+     set(_blas_vendor_name "Arm")
+     check_blas_libraries(
+       BLAS_LIBRARIES
+       BLAS
+       sgemm
+       ""
+       "${_blas_armpl_lib}"
+       ""
+       ""
+       ""
+       )
   endif()
   unset(_blas_armpl_lib)
 endif()
@@ -824,6 +835,7 @@ if(BLA_VENDOR STREQUAL "FLAME" OR BLA_VENDOR STREQUAL "All")
   endif()
 
   if(NOT BLAS_LIBRARIES)
+    set(_blas_vendor_name "FLAME")
     check_blas_libraries(
       BLAS_LIBRARIES
       BLAS
@@ -842,6 +854,7 @@ endif()
 # BLAS in the ATLAS library? (http://math-atlas.sourceforge.net/)
 if(BLA_VENDOR STREQUAL "ATLAS" OR BLA_VENDOR STREQUAL "All")
   if(NOT BLAS_LIBRARIES)
+    set(_blas_vendor_name "ATLAS")
     check_blas_libraries(
       BLAS_LIBRARIES
       BLAS
@@ -879,6 +892,7 @@ if(BLA_VENDOR STREQUAL "CXML" OR BLA_VENDOR STREQUAL "All")
     endif()
   else()
     if(NOT BLAS_LIBRARIES)
+      set(_blas_vendor_name "CXML")
       check_blas_libraries(
         BLAS_LIBRARIES
         BLAS
@@ -901,6 +915,7 @@ if(BLA_VENDOR STREQUAL "DXML" OR BLA_VENDOR STREQUAL "All")
     endif()
   else()
     if(NOT BLAS_LIBRARIES)
+      set(_blas_vendor_name "DXML")
       check_blas_libraries(
         BLAS_LIBRARIES
         BLAS
@@ -918,6 +933,7 @@ endif()
 # BLAS in Sun Performance library?
 if(BLA_VENDOR STREQUAL "SunPerf" OR BLA_VENDOR STREQUAL "All")
   if(NOT BLAS_LIBRARIES)
+    set(_blas_vendor_name "SunPerf")
     check_blas_libraries(
       BLAS_LIBRARIES
       BLAS
@@ -942,10 +958,11 @@ if(BLA_VENDOR MATCHES "SCSL" OR BLA_VENDOR STREQUAL "All")
     string(APPEND _blas_scsl_lib "_i8")
   endif()
   if(BLA_VENDOR MATCHES "_mp")
-    set(_blas_scsl_lib "${_blas_scsl_lib}_mp")
+    string(APPEND _blas_scsl_lib "_mp")
   endif()
 
   if(NOT BLAS_LIBRARIES)
+    set(_blas_vendor_name "SCSL")
     check_blas_libraries(
       BLAS_LIBRARIES
       BLAS
@@ -964,6 +981,7 @@ endif()
 # BLAS in SGIMATH library?
 if(BLA_VENDOR STREQUAL "SGIMATH" OR BLA_VENDOR STREQUAL "All")
   if(NOT BLAS_LIBRARIES)
+    set(_blas_vendor_name "SGIMATH")
     check_blas_libraries(
       BLAS_LIBRARIES
       BLAS
@@ -982,13 +1000,14 @@ if(BLA_VENDOR MATCHES "IBMESSL" OR BLA_VENDOR STREQUAL "All")
   set(_blas_essl_lib "essl")
 
   if(BLA_VENDOR MATCHES "_SMP")
-    set(_blas_essl_lib "${_blas_essl_lib}smp")
+    string(APPEND _blas_essl_lib "smp")
   endif()
   if(_blas_sizeof_integer EQUAL 8)
     string(APPEND _blas_essl_lib "6464")
   endif()
 
   if(NOT BLAS_LIBRARIES)
+    set(_blas_vendor_name "IBMESSL")
     check_blas_libraries(
       BLAS_LIBRARIES
       BLAS
@@ -1010,6 +1029,9 @@ if(BLA_VENDOR MATCHES "ACML" OR BLA_VENDOR STREQUAL "All")
     ((BLA_VENDOR STREQUAL "ACML_MP") AND (NOT BLAS_ACML_MP_LIB_DIRS)) OR
     ((BLA_VENDOR STREQUAL "ACML_GPU") AND (NOT BLAS_ACML_GPU_LIB_DIRS))
     )
+  if(NOT BLAS_LIBRARIES)
+    set(_blas_vendor_name "ACML")
+  endif()
   # try to find acml in "standard" paths
   if(WIN32)
     file(GLOB _ACML_ROOT "C:/AMD/acml*/ACML-EULA.txt")
@@ -1158,6 +1180,7 @@ if(BLA_VENDOR STREQUAL "Apple" OR BLA_VENDOR STREQUAL "All")
     endif()
   else()
     if(NOT BLAS_LIBRARIES)
+      set(_blas_vendor_name "Apple")
       check_blas_libraries(
         BLAS_LIBRARIES
         BLAS
@@ -1180,6 +1203,7 @@ if(BLA_VENDOR STREQUAL "NAS" OR BLA_VENDOR STREQUAL "All")
     endif()
   else()
     if(NOT BLAS_LIBRARIES)
+      set(_blas_vendor_name "NAS")
       check_blas_libraries(
         BLAS_LIBRARIES
         BLAS
@@ -1197,17 +1221,18 @@ endif()
 # Elbrus Math Library?
 if(BLA_VENDOR MATCHES "EML" OR BLA_VENDOR STREQUAL "All")
 
-   set(_blas_eml_lib "eml")
+  set(_blas_eml_lib "eml")
 
-   if(_blas_sizeof_integer EQUAL 8)
-     string(APPEND _blas_eml_lib "_ilp64")
-   endif()
-   # Check for OpenMP support, VIA BLA_VENDOR of eml_mt
-   if(BLA_VENDOR MATCHES "_mt")
-     set(_blas_eml_lib "${_blas_eml_lib}_mt")
-   endif()
+  if(_blas_sizeof_integer EQUAL 8)
+    string(APPEND _blas_eml_lib "_ilp64")
+  endif()
+  # Check for OpenMP support, VIA BLA_VENDOR of eml_mt
+  if(BLA_VENDOR MATCHES "_mt")
+    string(APPEND _blas_eml_lib "_mt")
+  endif()
 
-   if(NOT BLAS_LIBRARIES)
+  if(NOT BLAS_LIBRARIES)
+    set(_blas_vendor_name "EML")
     check_blas_libraries(
       BLAS_LIBRARIES
       BLAS
@@ -1239,6 +1264,7 @@ if(NOT BLAS_LIBRARIES
   endif()
 
   if(NOT BLAS_LIBRARIES)
+    set(_blas_vendor_name "Fujitsu_SSL2")
     check_blas_libraries(
       BLAS_LIBRARIES
       BLAS
@@ -1269,6 +1295,7 @@ if(BLA_VENDOR STREQUAL "NVHPC" OR BLA_VENDOR STREQUAL "All")
   endif()
 
   if(NOT BLAS_LIBRARIES)
+    set(_blas_vendor_name "NVHPC")
     check_blas_libraries(
       BLAS_LIBRARIES
       BLAS
@@ -1312,6 +1339,7 @@ if(BLA_VENDOR STREQUAL "Generic" OR
   endif()
 
   if(NOT BLAS_LIBRARIES)
+    set(_blas_vendor_name "Generic")
     check_blas_libraries(
       BLAS_LIBRARIES
       BLAS
@@ -1337,7 +1365,12 @@ if(NOT BLA_F95)
   find_package_handle_standard_args(BLAS REQUIRED_VARS ${_blas_fphsa_req_var})
 endif()
 
+if(BLAS_FOUND)
+  set(BLAS_VENDOR_NAME ${_blas_vendor_name})
+endif()
+
 _add_blas_target()
 unset(_blas_fphsa_req_var)
 unset(_blas_sizeof_integer)
 unset(_BLAS_LIBRARIES)
+unset(_blas_vendor_name)
diff --git a/Modules/FindLAPACK.cmake b/Modules/FindLAPACK.cmake
index 32d15db2a7fb53f5541f0423414d5a5bbd479aa8..86005569d8ad24199086b26e645357db5e42e432 100644
--- a/Modules/FindLAPACK.cmake
+++ b/Modules/FindLAPACK.cmake
@@ -75,6 +75,9 @@ This module defines the following variables:
   to use LAPACK95
 ``LAPACK95_FOUND``
   library implementing the LAPACK95 interface is found
+``LAPACK_VENDOR_NAME``
+  .. versionadded:: 3.22
+  vendor's name of found library implementing the LAPACK interface
 
 Intel MKL
 ^^^^^^^^^
@@ -181,9 +184,9 @@ function(CHECK_LAPACK_LIBRARIES LIBRARIES _prefix _name _flags _list _deps _addl
       list(APPEND _libraries "${_library}")
     else()
       string(REGEX REPLACE "[^A-Za-z0-9]" "_" _lib_var "${_library}")
-      set(_combined_name ${_combined_name}_${_lib_var})
+      string(APPEND _combined_name "_${_lib_var}")
       if(NOT "${_deps}" STREQUAL "")
-        set(_combined_name ${_combined_name}_deps)
+        string(APPEND _combined_name "_deps")
       endif()
       if(_libraries_work)
         find_library(${_prefix}_${_lib_var}_LIBRARY
@@ -201,7 +204,7 @@ function(CHECK_LAPACK_LIBRARIES LIBRARIES _prefix _name _flags _list _deps _addl
 
   foreach(_flag ${_flags})
     string(REGEX REPLACE "[^A-Za-z0-9]" "_" _flag_var "${_flag}")
-    set(_combined_name ${_combined_name}_${_flag_var})
+    string(APPEND _combined_name "_${_flag_var}")
   endforeach()
   if(_libraries_work)
     # Test this combination of libraries.
@@ -271,6 +274,8 @@ else()
   message(FATAL_ERROR "BLA_SIZEOF_INTEGER can have only <no value>, ANY, 4, or 8 values")
 endif()
 
+set(_lapack_vendor_name "")
+
 # Load BLAS
 if(NOT LAPACK_NOT_FOUND_MESSAGE)
   _lapack_find_dependency(BLAS)
@@ -305,6 +310,7 @@ if(NOT LAPACK_NOT_FOUND_MESSAGE)
       AND (BLA_VENDOR MATCHES "Intel" OR BLA_VENDOR STREQUAL "All")
       AND (CMAKE_C_COMPILER_LOADED OR CMAKE_CXX_COMPILER_LOADED))
     # System-specific settings
+    set(_lapack_vendor_name "Intel")
     if(NOT WIN32)
       set(LAPACK_mkl_LM "-lm")
       set(LAPACK_mkl_LDL "-ldl")
@@ -432,6 +438,7 @@ if(NOT LAPACK_NOT_FOUND_MESSAGE)
   # gotoblas? (http://www.tacc.utexas.edu/tacc-projects/gotoblas2)
   if(NOT LAPACK_LIBRARIES
       AND (BLA_VENDOR STREQUAL "Goto" OR BLA_VENDOR STREQUAL "All"))
+    set(_lapack_vendor_name "Goto")
     check_lapack_libraries(
       LAPACK_LIBRARIES
       LAPACK
@@ -454,6 +461,7 @@ if(NOT LAPACK_NOT_FOUND_MESSAGE)
       string(APPEND _lapack_flexiblas_lib "64")
     endif()
 
+    set(_lapack_vendor_name "FlexiBLAS")
     check_lapack_libraries(
       LAPACK_LIBRARIES
       LAPACK
@@ -478,6 +486,7 @@ if(NOT LAPACK_NOT_FOUND_MESSAGE)
       string(APPEND _lapack_openblas_lib "64")
     endif()
 
+    set(_lapack_vendor_name "OpenBLAS")
     check_lapack_libraries(
       LAPACK_LIBRARIES
       LAPACK
@@ -511,9 +520,10 @@ if(NOT LAPACK_NOT_FOUND_MESSAGE)
 
     # Check for OpenMP support, VIA BLA_VENDOR of Arm_mp or Arm_ipl64_mp
     if(BLA_VENDOR MATCHES "_mp")
-     set(LAPACK_armpl_LIB "${LAPACK_armpl_LIB}_mp")
+      string(APPEND LAPACK_armpl_LIB "_mp")
     endif()
 
+    set(_lapack_vendor_name "Arm")
     check_lapack_libraries(
       LAPACK_LIBRARIES
       LAPACK
@@ -535,6 +545,7 @@ if(NOT LAPACK_NOT_FOUND_MESSAGE)
         message(FATAL_ERROR "libFLAME does not support Int64 type")
       endif()
     else()
+      set(_lapack_vendor_name "FLAME")
       check_lapack_libraries(
         LAPACK_LIBRARIES
         LAPACK
@@ -559,9 +570,10 @@ if(NOT LAPACK_NOT_FOUND_MESSAGE)
     endif()
     # Check for OpenMP support, VIA BLA_VENDOR of scs_mp
     if(BLA_VENDOR MATCHES "_mp")
-      set(_lapack_scsl_lib "${_lapack_scsl_lib}_mp")
+      string(APPEND _lapack_scsl_lib "_mp")
     endif()
 
+    set(_lapack_vendor_name "SCSL")
     check_lapack_libraries(
       LAPACK_LIBRARIES
       LAPACK
@@ -579,6 +591,7 @@ if(NOT LAPACK_NOT_FOUND_MESSAGE)
   # BLAS in acml library?
   if(BLA_VENDOR MATCHES "ACML" OR BLA_VENDOR STREQUAL "All")
     if(BLAS_LIBRARIES MATCHES ".+acml.+")
+      set(_lapack_vendor_name "ACML")
       set(LAPACK_LIBRARIES ${BLAS_LIBRARIES})
     endif()
   endif()
@@ -591,6 +604,7 @@ if(NOT LAPACK_NOT_FOUND_MESSAGE)
         message(FATAL_ERROR "Accelerate Framework does not support Int64 type")
       endif()
     else()
+      set(_lapack_vendor_name "Apple")
       check_lapack_libraries(
         LAPACK_LIBRARIES
         LAPACK
@@ -613,6 +627,7 @@ if(NOT LAPACK_NOT_FOUND_MESSAGE)
         message(FATAL_ERROR "Accelerate Framework does not support Int64 type")
       endif()
     else()
+      set(_lapack_vendor_name "NAS")
       check_lapack_libraries(
         LAPACK_LIBRARIES
         LAPACK
@@ -631,6 +646,7 @@ if(NOT LAPACK_NOT_FOUND_MESSAGE)
   if(NOT LAPACK_LIBRARIES
       AND (BLA_VENDOR MATCHES "EML" OR BLA_VENDOR STREQUAL "All"))
     if(BLAS_LIBRARIES MATCHES "eml.+")
+      set(_lapack_vendor_name "EML")
       set(LAPACK_LIBRARIES ${BLAS_LIBRARIES})
     endif()
   endif()
@@ -639,6 +655,7 @@ if(NOT LAPACK_NOT_FOUND_MESSAGE)
   if(NOT LAPACK_LIBRARIES
       AND (BLA_VENDOR MATCHES "Fujitsu_SSL2" OR BLA_VENDOR STREQUAL "All"))
     if(BLAS_LIBRARIES MATCHES "fjlapack.+")
+      set(_lapack_vendor_name "Fujitsu_SSL2")
       set(LAPACK_LIBRARIES ${BLAS_LIBRARIES})
       set(LAPACK_LINKER_FLAGS ${BLAS_LINKER_FLAGS})
     endif()
@@ -648,6 +665,7 @@ if(NOT LAPACK_NOT_FOUND_MESSAGE)
   if(NOT LAPACK_LIBRARIES
       AND (BLA_VENDOR MATCHES "IBMESSL" OR BLA_VENDOR STREQUAL "All"))
     if(BLAS_LIBRARIES MATCHES "essl.+")
+      set(_lapack_vendor_name "IBMESSL")
       set(LAPACK_LIBRARIES ${BLAS_LIBRARIES})
     endif()
   endif()
@@ -664,6 +682,7 @@ if(NOT LAPACK_NOT_FOUND_MESSAGE)
       string(APPEND _lapack_nvhpc_lib "_lp64")
     endif()
 
+    set(_lapack_vendor_name "NVHPC")
     check_lapack_libraries(
       LAPACK_LIBRARIES
       LAPACK
@@ -716,6 +735,7 @@ if(NOT LAPACK_NOT_FOUND_MESSAGE)
       string(APPEND _lapack_generic_lib "64")
     endif()
 
+    set(_lapack_vendor_name "Generic")
     check_lapack_libraries(
       LAPACK_LIBRARIES
       LAPACK
@@ -749,6 +769,10 @@ if(BLA_F95)
   set(LAPACK95_FOUND ${LAPACK_FOUND})
 endif()
 
+if(LAPACK_FOUND)
+  set(LAPACK_VENDOR_NAME ${_lapack_vendor_name})
+endif()
+
 # On compilers that implicitly link LAPACK (such as ftn, cc, and CC on Cray HPC machines)
 # we used a placeholder for empty LAPACK_LIBRARIES to get through our logic above.
 if(LAPACK_LIBRARIES STREQUAL "LAPACK_LIBRARIES-PLACEHOLDER-FOR-EMPTY-LIBRARIES")
@@ -759,3 +783,4 @@ _add_lapack_target()
 unset(_lapack_fphsa_req_var)
 unset(_lapack_sizeof_integer)
 unset(_LAPACK_LIBRARIES)
+unset(_lapack_vendor_name)