Solving Linear Equations

Solving Systems of Linear Equations

?getrs solves a system of linear equations with an LU-factored square matrix, with multiple right-hand sides.
call sgetrs (trans, n, nrhs, a, lda, ipiv, b, ldb, info) call dgetrs (trans, n, nrhs, a, lda, ipiv, b, ldb, info) call cgetrs (trans, n, nrhs, a, lda, ipiv, b, ldb, info) call zgetrs (trans, n, nrhs, a, lda, ipiv, b, ldb, info)

?gbtrs solves a system of linear equations with an LU-factored band matrix, with multiple right-hand sides.
call sgbtrs (trans, n, kl, ku, nrhs, ab, ldab, ipiv, b, ldb, info) call dgbtrs (trans, n, kl, ku, nrhs, ab, ldab, ipiv, b, ldb, info) call cgbtrs (trans, n, kl, ku, nrhs, ab, ldab, ipiv, b, ldb, info) call zgbtrs (trans, n, kl, ku, nrhs, ab, ldab, ipiv, b, ldb, info)

?gttrs solves a system of linear equations with a tridiagonal matrix using the LU factorization computed by ?gttrf.
call sgttrs (trans, n, nrhs, dl, d, du, du2, ipiv, b, ldb, info) call dgttrs (trans, n, nrhs, dl, d, du, du2, ipiv, b, ldb, info) call cgttrs (trans, n, nrhs, dl, d, du, du2, ipiv, b, ldb, info) call zgttrs (trans, n, nrhs, dl, d, du, du2, ipiv, b, ldb, info)

?potrs solves a system of linear equations with a Cholesky-factored symmetric (Hermitian) positive-definite matrix.
call spotrs (uplo, n, nrhs, a, lda, b, ldb, info) call dpotrs (uplo, n, nrhs, a, lda, b, ldb, info) call cpotrs (uplo, n, nrhs, a, lda, b, ldb, info) call zpotrs (uplo, n, nrhs, a, lda, b, ldb, info)

?pptrs solves a system of linear equations with a packed Cholesky-factored symmetric (Hermitian) positive-definite matrix.
call spptrs (uplo, n, nrhs, ap, b, ldb, info) call dpptrs (uplo, n, nrhs, ap, b, ldb, info) call cpptrs (uplo, n, nrhs, ap, b, ldb, info) call zpptrs (uplo, n, nrhs, ap, b, ldb, info)

?pbtrs solves a system of linear equations with a Cholesky-factored symmetric (Hermitian) positive-definite band matrix.
call spbtrs (uplo, n, kd, nrhs, ab, ldab, b, ldb, info) call dpbtrs (uplo, n, kd, nrhs, ab, ldab, b, ldb, info) call cpbtrs (uplo, n, kd, nrhs, ab, ldab, b, ldb, info) call zpbtrs (uplo, n, kd, nrhs, ab, ldab, b, ldb, info)

?pttrs solves a system of linear equations with a symmetric (Hermitian) positive-definite tridiagonal matrix using the factorization computed by ?pttrf.
call spttrs (n, nrhs, d, e, b, ldb, info) call dpttrs (n, nrhs, d, e, b, ldb, info) call cpttrs (uplo, n, nrhs, d, e, b, ldb, info) call zpttrs (uplo, n, nrhs, d, e, b, ldb, info)

?sytrs solves a system of linear equations with a UDU- or LDL-factored symmetric matrix.
call ssytrs (uplo, n, nrhs, a, lda, ipiv, b, ldb, info) call dsytrs (uplo, n, nrhs, a, lda, ipiv, b, ldb, info) call csytrs (uplo, n, nrhs, a, lda, ipiv, b, ldb, info) call zsytrs (uplo, n, nrhs, a, lda, ipiv, b, ldb, info)

?hetrs solves a system of linear equations with a UDU- or LDL-factored Hermitian matrix.
call chetrs (uplo, n, nrhs, a, lda, ipiv, b, ldb, info) call zhetrs (uplo, n, nrhs, a, lda, ipiv, b, ldb, info)

?sptrs solves a system of linear equations with a UDU- or LDL-factored symmetric matrix using packed storage.
call ssptrs (uplo, n, nrhs, ap, ipiv, b, ldb, info) call dsptrs (uplo, n, nrhs, ap, ipiv, b, ldb, info) call csptrs (uplo, n, nrhs, ap, ipiv, b, ldb, info) call zsptrs (uplo, n, nrhs, ap, ipiv, b, ldb, info)

?hptrs solves a system of linear equations with a UDU- or LDL-factored Hermitian matrix using packed storage.
call chptrs (uplo, n, nrhs, ap, ipiv, b, ldb, info) call zhptrs (uplo, n, nrhs, ap, ipiv, b, ldb, info)

?trtrs solves a system of linear equations with a triangular matrix, with multiple right-hand sides.
call strtrs (uplo, trans, diag, n, nrhs, a, lda, b, ldb, info) call dtrtrs (uplo, trans, diag, n, nrhs, a, lda, b, ldb, info) call ctrtrs (uplo, trans, diag, n, nrhs, a, lda, b, ldb, info) call ztrtrs (uplo, trans, diag, n, nrhs, a, lda, b, ldb, info)

?tptrs solves a system of linear equations with a packed triangular matrix, with multiple right-hand sides.
call stptrs (uplo, trans, diag, n, nrhs, ap, b, ldb, info) call dtptrs (uplo, trans, diag, n, nrhs, ap, b, ldb, info) call ctptrs (uplo, trans, diag, n, nrhs, ap, b, ldb, info) call ztptrs (uplo, trans, diag, n, nrhs, ap, b, ldb, info)

?tbtrs solves a system of linear equations with a band triangular matrix, with multiple right-hand sides.
call stbtrs (uplo, trans, diag, n, kd, nrhs, ab, ldab, b, ldb, info) call dtbtrs (uplo, trans, diag, n, kd, nrhs, ab, ldab, b, ldb, info) call ctbtrs (uplo, trans, diag, n, kd, nrhs, ab, ldab, b, ldb, info) call ztbtrs (uplo, trans, diag, n, kd, nrhs, ab, ldab, b, ldb, info)