/usr/include/trilinos/ is in libtrilinos-shylu-dev 12.10.1-3.
This file is owned by root:root, with mode 0o755.
..
/usr/include/trilinos/IQRSolver.h
/usr/include/trilinos/Ifpack_ShyLU.h
/usr/include/trilinos/Makefile.export.ShyLU
/usr/include/trilinos/Makefile.export.ShyLUCore
/usr/include/trilinos/ShyLUCore_config.h
/usr/include/trilinos/shylu.h
/usr/include/trilinos/shylu_amesos_schur_operator.h
/usr/include/trilinos/shylu_config.h
/usr/include/trilinos/shylu_debug_manager.hpp
/usr/include/trilinos/shylu_directsolver_interface.hpp
/usr/include/trilinos/shylu_directsolver_interface_decl.hpp
/usr/include/trilinos/shylu_directsolver_interface_def.hpp
/usr/include/trilinos/shylu_internal.h
/usr/include/trilinos/shylu_internal_gmres.h
/usr/include/trilinos/shylu_internal_gmres_tools.h
/usr/include/trilinos/shylu_local_schur_operator.h
/usr/include/trilinos/shylu_partition_interface.hpp
/usr/include/trilinos/shylu_partition_interface_decl.hpp
/usr/include/trilinos/shylu_partition_interface_def.hpp
/usr/include/trilinos/shylu_probing_operator.h
/usr/include/trilinos/shylu_symbolic.h
/usr/include/trilinos/shylu_util.h