- ztgex2
-
swap adjacent diagonal 1 by 1 blocks (A11,B11) and (A22,B22)
- ztgexc
-
reorder the generalized Schur decomposition of a complex matrix pair (A,B), using an unitary equivalence transformation (A, B) := Q * (A, B) * Z', so that the diagonal block of (A, B) with row index IFST is moved to row ILST
- ztgsen
-
reorder the generalized Schur decomposition of a complex matrix pair (A, B) (in terms of an unitary equivalence trans- formation Q' * (A, B) * Z), so that a selected cluster of eigenvalues appears in the leading diagonal blocks of the pair (A,B)
- ztgsja
-
compute the generalized singular value decomposition (GSVD) of two complex upper triangular (or trapezoidal) matrices A and B
- ztgsna
-
estimate reciprocal condition numbers for specified eigenvalues and/or eigenvectors of a matrix pair (A, B)
- ztgsy2
-
solve the generalized Sylvester equation A * R - L * B = scale * C (1) D * R - L * E = scale * F using Level 1 and 2 BLAS, where R and L are unknown M-by-N matrices,
- ztgsyl
-
solve the generalized Sylvester equation
- ztpcon
-
estimate the reciprocal of the condition number of a packed triangular matrix A, in either the 1-norm or the infinity-norm
- ztpmv
-
perform one of the matrix-vector operations x := A*x, or x := A'*x, or x := conjg( A' )*x,
- ztprfs
-
provide error bounds and backward error estimates for the solution to a system of linear equations with a triangular packed coefficient matrix
- ztpsv
-
solve one of the systems of equations A*x = b, or A'*x = b, or conjg( A' )*x = b,
- ztptri
-
compute the inverse of a complex upper or lower triangular matrix A stored in packed format
- ztptrs
-
solve a triangular system of the form A * X = B, A**T * X = B, or A**H * X = B,
- ztrcon
-
estimate the reciprocal of the condition number of a triangular matrix A, in either the 1-norm or the infinity-norm
- ztrevc
-
compute some or all of the right and/or left eigenvectors of a complex upper triangular matrix T
- ztrexc
-
reorder the Schur factorization of a complex matrix A = Q*T*Q**H, so that the diagonal element of T with row index IFST is moved to row ILST
- ztrmm
-
perform one of the matrix-matrix operations B := alpha*op( A )*B, or B := alpha*B*op( A ) where alpha is a scalar, B is an m by n matrix, A is a unit, or non-unit, upper or lower triangular matrix and op( A ) is one of op( A ) = A or op( A ) = A' or op( A ) = conjg( A' )
- ztrmv
-
perform one of the matrix-vector operations x := A*x, or x := A'*x, or x := conjg( A' )*x,
- ztrrfs
-
provide error bounds and backward error estimates for the solution to a system of linear equations with a triangular coefficient matrix
- ztrsen
-
reorder the Schur factorization of a complex matrix A = Q*T*Q**H, so that a selected cluster of eigenvalues appears in the leading positions on the diagonal of the upper triangular matrix T, and the leading columns of Q form an orthonormal basis of the corresponding right invariant subspace
- ztrsm
-
solve one of the matrix equations op( A )*X = alpha*B, or X*op( A ) = alpha*B,
- ztrsna
-
estimate reciprocal condition numbers for specified eigenvalues and/or right eigenvectors of a complex upper triangular matrix T (or of any matrix Q*T*Q**H with Q unitary)
- ztrsv
-
solve one of the systems of equations A*x = b, or A'*x = b, or conjg( A' )*x = b,
- ztrsyl
-
solve the complex Sylvester matrix equation
- ztrti2
-
compute the inverse of a complex upper or lower triangular matrix
- ztrtri
-
compute the inverse of a complex upper or lower triangular matrix A
- ztrtrs
-
solve a triangular system of the form A * X = B, A**T * X = B, or A**H * X = B,
- ztzrqf
-
routine is deprecated and has been replaced by routine ZTZRZF
- ztzrzf
-
reduce the M-by-N ( M<=N ) complex upper trapezoidal matrix A to upper triangular form by means of unitary transformations
- zung2l
-
generate an m by n complex matrix Q with orthonormal columns,
- zung2r
-
generate an m by n complex matrix Q with orthonormal columns,
- zungbr
-
generate one of the complex unitary matrices Q or P**H determined by ZGEBRD when reducing a complex matrix A to bidiagonal form
- zunghr
-
generate a complex unitary matrix Q which is defined as the product of IHI-ILO elementary reflectors of order N, as returned by ZGEHRD
- zungl2
-
generate an m-by-n complex matrix Q with orthonormal rows,
- zunglq
-
generate an M-by-N complex matrix Q with orthonormal rows,
- zungql
-
generate an M-by-N complex matrix Q with orthonormal columns,
- zungqr
-
generate an M-by-N complex matrix Q with orthonormal columns,
- zungr2
-
generate an m by n complex matrix Q with orthonormal rows,
- zungrq
-
generate an M-by-N complex matrix Q with orthonormal rows,
- zungtr
-
generate a complex unitary matrix Q which is defined as the product of n-1 elementary reflectors of order N, as returned by ZHETRD
- zunm2l
-
overwrite the general complex m-by-n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q'* C if SIDE = 'L' and TRANS = 'C', or C * Q if SIDE = 'R' and TRANS = 'N', or C * Q' if SIDE = 'R' and TRANS = 'C',
- zunm2r
-
overwrite the general complex m-by-n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q'* C if SIDE = 'L' and TRANS = 'C', or C * Q if SIDE = 'R' and TRANS = 'N', or C * Q' if SIDE = 'R' and TRANS = 'C',
- zunmbr
-
VECT = 'Q', ZUNMBR overwrites the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N'
- zunmhr
-
overwrite the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N'
- zunml2
-
overwrite the general complex m-by-n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q'* C if SIDE = 'L' and TRANS = 'C', or C * Q if SIDE = 'R' and TRANS = 'N', or C * Q' if SIDE = 'R' and TRANS = 'C',
- zunmlq
-
overwrite the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N'
- zunmql
-
overwrite the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N'
- zunmqr
-
overwrite the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N'
- zunmr2
-
overwrite the general complex m-by-n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q'* C if SIDE = 'L' and TRANS = 'C', or C * Q if SIDE = 'R' and TRANS = 'N', or C * Q' if SIDE = 'R' and TRANS = 'C',
- zunmr3
-
overwrite the general complex m by n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q'* C if SIDE = 'L' and TRANS = 'C', or C * Q if SIDE = 'R' and TRANS = 'N', or C * Q' if SIDE = 'R' and TRANS = 'C',