- dstein2
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compute the eigenvectors of a real symmetric tridiagonal matrix T corresponding to specified eigenvalues, using inverse iteration
- dsteqr
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compute all eigenvalues and, optionally, eigenvectors of a symmetric tridiagonal matrix using the implicit QL or QR method
- dsteqr2
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i a modified version of LAPACK routine DSTEQR
- dsterf
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compute all eigenvalues of a symmetric tridiagonal matrix using the Pal-Walker-Kahan variant of the QL or QR algorithm
- dstev
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compute all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix A
- dstevd
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compute all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix
- dstevr
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compute selected eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix T
- dstevx
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compute selected eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix A
- DString
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manipulate dynamic strings
- dsycon
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estimate the reciprocal of the condition number (in the 1-norm) of a real symmetric matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by DSYTRF
- dsyev
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compute all eigenvalues and, optionally, eigenvectors of a real symmetric matrix A
- dsyevd
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compute all eigenvalues and, optionally, eigenvectors of a real symmetric matrix A
- dsyevr
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compute selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix T
- dsyevx
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compute selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix A
- dsygs2
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reduce a real symmetric-definite generalized eigenproblem to standard form
- dsygst
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reduce a real symmetric-definite generalized eigenproblem to standard form
- dsygv
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compute all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem, of the form A*x=(lambda)*B*x, A*Bx=(lambda)*x, or B*A*x=(lambda)*x
- dsygvd
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compute all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem, of the form A*x=(lambda)*B*x, A*Bx=(lambda)*x, or B*A*x=(lambda)*x
- dsygvx
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compute selected eigenvalues, and optionally, eigenvectors of a real generalized symmetric-definite eigenproblem, of the form A*x=(lambda)*B*x, A*Bx=(lambda)*x, or B*A*x=(lambda)*x
- dsymm
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perform one of the matrix-matrix operations C := alpha*A*B + beta*C,
- dsymv
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perform the matrix-vector operation y := alpha*A*x + beta*y,
- dsyr
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perform the symmetric rank 1 operation A := alpha*x*x' + A,
- dsyr2
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perform the symmetric rank 2 operation A := alpha*x*y' + alpha*y*x' + A,
- dsyr2k
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perform one of the symmetric rank 2k operations C := alpha*A*B' + alpha*B*A' + beta*C,
- dsyrfs
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improve the computed solution to a system of linear equations when the coefficient matrix is symmetric indefinite, and provides error bounds and backward error estimates for the solution
- dsyrk
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perform one of the symmetric rank k operations C := alpha*A*A' + beta*C,
- dsysv
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compute the solution to a real system of linear equations A * X = B,
- dsysvx
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use the diagonal pivoting factorization to compute the solution to a real system of linear equations A * X = B,
- dsytd2
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reduce a real symmetric matrix A to symmetric tridiagonal form T by an orthogonal similarity transformation
- dsytf2
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compute the factorization of a real symmetric matrix A using the Bunch-Kaufman diagonal pivoting method
- dsytrd
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reduce a real symmetric matrix A to real symmetric tridiagonal form T by an orthogonal similarity transformation
- dsytrf
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compute the factorization of a real symmetric matrix A using the Bunch-Kaufman diagonal pivoting method
- dsytri
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compute the inverse of a real symmetric indefinite matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by DSYTRF
- dsytrs
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solve a system of linear equations A*X = B with a real symmetric matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by DSYTRF
- dtbcon
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estimate the reciprocal of the condition number of a triangular band matrix A, in either the 1-norm or the infinity-norm
- dtbmv
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perform one of the matrix-vector operations x := A*x, or x := A'*x,
- dtbrfs
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provide error bounds and backward error estimates for the solution to a system of linear equations with a triangular band coefficient matrix
- dtbsv
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solve one of the systems of equations A*x = b, or A'*x = b,
- dtbtrs
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solve a triangular system of the form A * X = B or A**T * X = B,
- dtgevc
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compute some or all of the right and/or left generalized eigenvectors of a pair of real upper triangular matrices (A,B)
- dtgex2
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swap adjacent diagonal blocks (A11, B11) and (A22, B22) of size 1-by-1 or 2-by-2 in an upper (quasi) triangular matrix pair (A, B) by an orthogonal equivalence transformation
- dtgexc
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reorder the generalized real Schur decomposition of a real matrix pair (A,B) using an orthogonal equivalence transformation (A, B) = Q * (A, B) * Z',
- dtgsen
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reorder the generalized real Schur decomposition of a real matrix pair (A, B) (in terms of an orthonormal equivalence trans- formation Q' * (A, B) * Z), so that a selected cluster of eigenvalues appears in the leading diagonal blocks of the upper quasi-triangular matrix A and the upper triangular B
- dtgsja
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compute the generalized singular value decomposition (GSVD) of two real upper triangular (or trapezoidal) matrices A and B
- dtgsna
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estimate reciprocal condition numbers for specified eigenvalues and/or eigenvectors of a matrix pair (A, B) in generalized real Schur canonical form (or of any matrix pair (Q*A*Z', Q*B*Z') with orthogonal matrices Q and Z, where Z' denotes the transpose of Z
- dtgsy2
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solve the generalized Sylvester equation
- dtgsyl
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solve the generalized Sylvester equation
- DTMFDetect
-
DTMFDetect is used for detecting DTMF tones in a stream of audio.
- dtpcon
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estimate the reciprocal of the condition number of a packed triangular matrix A, in either the 1-norm or the infinity-norm
- dtpmv
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perform one of the matrix-vector operations x := A*x, or x := A'*x,