Developer Reference for Intel® oneAPI Math Kernel Library for Fortran
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Solving Systems of Linear Equations: LAPACK Computational Routines
This section describes the LAPACK routines for solving systems of linear equations. Before calling most of these routines, you need to factorize the matrix of your system of equations (see Routines for Matrix Factorization). However, the factorization is not necessary if your system of equations has a triangular matrix.
- ?getrs
Solves a system of linear equations with an LU-factored square coefficient matrix, with multiple right-hand sides. - ?getrs_batch_strided
Solves a group of systems of linear equations, each with an LU-factored square coefficient matrix and multiple right hand sides. - ?getrsnp_batch_strided
Solves a group of systems of linear equations, each with an LU-factored square coefficient matrix and multiple right hand sides. - ?gbtrs
Solves a system of linear equations with an LU-factored band coefficient matrix, with multiple right-hand sides. - ?gttrs
Solves a system of linear equations with a tridiagonal coefficient matrix using the LU factorization computed by ?gttrf. - ?dttrsb
Solves a system of linear equations with a diagonally dominant tridiagonal coefficient matrix using the LU factorization computed by ?dttrfb. - ?potrs
Solves a system of linear equations with a Cholesky-factored symmetric (Hermitian) positive-definite coefficient matrix. - ?pftrs
Solves a system of linear equations with a Cholesky-factored symmetric (Hermitian) positive-definite coefficient matrix using the Rectangular Full Packed (RFP) format. - ?pptrs
Solves a system of linear equations with a packed Cholesky-factored symmetric (Hermitian) positive-definite coefficient matrix. - ?pbtrs
Solves a system of linear equations with a Cholesky-factored symmetric (Hermitian) positive-definite band coefficient matrix. - ?pttrs
Solves a system of linear equations with a symmetric (Hermitian) positive-definite tridiagonal coefficient matrix using the factorization computed by ?pttrf. - ?sytrs
Solves a system of linear equations with a UDUT- or LDLT-factored symmetric coefficient matrix. - ?sytrs_aa
Solves a system of linear equations A * X = B with a symmetric matrix. - ?sytrs_rook
Solves a system of linear equations with a UDU- or LDL-factored symmetric coefficient matrix. - ?hetrs
Solves a system of linear equations with a UDUT- or LDLT-factored Hermitian coefficient matrix. - ?hetrs_aa
BSolves a system of linear equations A*X = with a complex Hermitian matrix. - ?hetrs_rook
Solves a system of linear equations with a UDU- or LDL-factored Hermitian coefficient matrix. - ?sytrs2
Solves a system of linear equations with a UDU- or LDL-factored symmetric coefficient matrix. - ?hetrs2
Solves a system of linear equations with a UDU- or LDL-factored Hermitian coefficient matrix. - ?sytrs_3
Solves a system of linear equations A * X = B with a real or complex symmetric matrix. - ?hetrs_3
Solves a system of linear equations A * X = B with a complex Hermitian matrix using the factorization computed by ?hetrf_rk. - ?sptrs
Solves a system of linear equations with a UDU- or LDL-factored symmetric coefficient matrix using packed storage. - ?hptrs
Solves a system of linear equations with a UDU- or LDL-factored Hermitian coefficient matrix using packed storage. - ?trtrs
Solves a system of linear equations with a triangular coefficient matrix, with multiple right-hand sides. - ?tptrs
Solves a system of linear equations with a packed triangular coefficient matrix, with multiple right-hand sides. - ?tbtrs
Solves a system of linear equations with a band triangular coefficient matrix, with multiple right-hand sides.