- zggqrf
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compute a generalized QR factorization of an N-by-M matrix A and an N-by-P matrix B
- zggrqf
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compute a generalized RQ factorization of an M-by-N matrix A and a P-by-N matrix B
- zggsvd
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compute the generalized singular value decomposition (GSVD) of an M-by-N complex matrix A and P-by-N complex matrix B
- zggsvp
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compute unitary matrices U, V and Q such that N-K-L K L U'*A*Q = K ( 0 A12 A13 ) if M-K-L >= 0
- zgtcon
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estimate the reciprocal of the condition number of a complex tridiagonal matrix A using the LU factorization as computed by ZGTTRF
- zgtrfs
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improve the computed solution to a system of linear equations when the coefficient matrix is tridiagonal, and provides error bounds and backward error estimates for the solution
- zgtsv
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solve the equation A*X = B,
- zgtsvx
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use the LU factorization to compute the solution to a complex system of linear equations A * X = B, A**T * X = B, or A**H * X = B,
- zgttrf
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compute an LU factorization of a complex tridiagonal matrix A using elimination with partial pivoting and row interchanges
- zgttrs
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solve one of the systems of equations A * X = B, A**T * X = B, or A**H * X = B,
- zgtts2
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solve one of the systems of equations A * X = B, A**T * X = B, or A**H * X = B,
- zhbev
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compute all the eigenvalues and, optionally, eigenvectors of a complex Hermitian band matrix A
- zhbevd
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compute all the eigenvalues and, optionally, eigenvectors of a complex Hermitian band matrix A
- zhbevx
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compute selected eigenvalues and, optionally, eigenvectors of a complex Hermitian band matrix A
- zhbgst
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reduce a complex Hermitian-definite banded generalized eigenproblem A*x = lambda*B*x to standard form C*y = lambda*y,
- zhbgv
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compute all the eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite banded eigenproblem, of the form A*x=(lambda)*B*x
- zhbgvd
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compute all the eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite banded eigenproblem, of the form A*x=(lambda)*B*x
- zhbgvx
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compute all the eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite banded eigenproblem, of the form A*x=(lambda)*B*x
- zhbmv
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perform the matrix-vector operation y := alpha*A*x + beta*y,
- zhbtrd
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reduce a complex Hermitian band matrix A to real symmetric tridiagonal form T by a unitary similarity transformation
- zhecon
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estimate the reciprocal of the condition number of a complex Hermitian matrix A using the factorization A = U*D*U**H or A = L*D*L**H computed by ZHETRF
- zheev
-
compute all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix A
- zheevd
-
compute all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix A
- zheevr
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compute selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix T
- zheevx
-
compute selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix A
- zhegs2
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reduce a complex Hermitian-definite generalized eigenproblem to standard form
- zhegst
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reduce a complex Hermitian-definite generalized eigenproblem to standard form
- zhegv
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compute all the eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem, of the form A*x=(lambda)*B*x, A*Bx=(lambda)*x, or B*A*x=(lambda)*x
- zhegvd
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compute all the eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem, of the form A*x=(lambda)*B*x, A*Bx=(lambda)*x, or B*A*x=(lambda)*x
- zhegvx
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compute selected eigenvalues, and optionally, eigenvectors of a complex generalized Hermitian-definite eigenproblem, of the form A*x=(lambda)*B*x, A*Bx=(lambda)*x, or B*A*x=(lambda)*x
- zhemm
-
perform one of the matrix-matrix operations C := alpha*A*B + beta*C,
- zhemv
-
perform the matrix-vector operation y := alpha*A*x + beta*y,
- zher
-
perform the hermitian rank 1 operation A := alpha*x*conjg( x' ) + A,
- zher2
-
perform the hermitian rank 2 operation A := alpha*x*conjg( y' ) + conjg( alpha )*y*conjg( x' ) + A,
- zher2k
-
perform one of the hermitian rank 2k operations C := alpha*A*conjg( B' ) + conjg( alpha )*B*conjg( A' ) + beta*C,
- zherfs
-
improve the computed solution to a system of linear equations when the coefficient matrix is Hermitian indefinite, and provides error bounds and backward error estimates for the solution
- zherk
-
perform one of the hermitian rank k operations C := alpha*A*conjg( A' ) + beta*C,
- zhesv
-
compute the solution to a complex system of linear equations A * X = B,
- zhesvx
-
use the diagonal pivoting factorization to compute the solution to a complex system of linear equations A * X = B,
- zhetd2
-
reduce a complex Hermitian matrix A to real symmetric tridiagonal form T by a unitary similarity transformation
- zhetf2
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compute the factorization of a complex Hermitian matrix A using the Bunch-Kaufman diagonal pivoting method
- zhetrd
-
reduce a complex Hermitian matrix A to real symmetric tridiagonal form T by a unitary similarity transformation
- zhetrf
-
compute the factorization of a complex Hermitian matrix A using the Bunch-Kaufman diagonal pivoting method
- zhetri
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compute the inverse of a complex Hermitian indefinite matrix A using the factorization A = U*D*U**H or A = L*D*L**H computed by ZHETRF
- zhetrs
-
solve a system of linear equations A*X = B with a complex Hermitian matrix A using the factorization A = U*D*U**H or A = L*D*L**H computed by ZHETRF
- zhgeqz
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implement a single-shift version of the QZ method for finding the generalized eigenvalues w(i)=ALPHA(i)/BETA(i) of the equation det( A - w(i) B ) = 0 If JOB='S', then the pair (A,B) is simultaneously reduced to Schur form (i.e., A and B are both upper triangular) by applying one unitary tranformation (usually called Q) on the left and another (usually called Z) on the right
- zhpcon
-
estimate the reciprocal of the condition number of a complex Hermitian packed matrix A using the factorization A = U*D*U**H or A = L*D*L**H computed by ZHPTRF
- zhpev
-
compute all the eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix in packed storage
- zhpevd
-
compute all the eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix A in packed storage
- zhpevx
-
compute selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix A in packed storage