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complib/ctrsyl(3) -- solve the complex Sylvester matrix equation
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CTRSYL solves the complex Sylvester matrix equation: op(A)*X + X*op(B) = scale*C or op(A)*X - X*op(B) = scale*C, where op(A) = A or A**H, and A and B are both upper triangular. A is Mby-M and B is N-by-N; the right hand side C and the solution X are M-byN; and scale is an output scale factor, set <= 1 to avoid overflow in X. |
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complib/ctrti2(3) -- compute the inverse of a complex upper or lower triangular matrix
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CTRTI2 computes the inverse of a complex upper or lower triangular matrix. This is the Level 2 BLAS version of the algorithm. |
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complib/ctrtri(3) -- compute the inverse of a complex upper or lower triangular matrix A
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CTRTRI computes the inverse of a complex upper or lower triangular matrix A. This is the Level 3 BLAS version of the algorithm. |
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complib/ctrtrs(3) -- or A**H * X = B,
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CTRTRS solves a triangular system of the form where A is a triangular matrix of order N, and B is an N-by-NRHS matrix. A check is made to verify that A is nonsingular. |
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ctype(3c) -- character handling
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These macros classify character-coded integer values. Each is a predicate returning non-zero for true, zero for false. The behavior of these macros, except for isascii, is affected by the current locale [see setlocale(3C)]. To modify the behavior, change the LC_TYPE category in setlocale, that is, setlocale (LC_CTYPE, newlocale). In the C locale, or in a... |
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complib/ctzrqf(3) -- reduce the M-by-N ( M<=N ) complex upper trapezoidal matrix A to upper triangular form by means of unitary tra
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CTZRQF reduces the M-by-N ( M<=N ) complex upper trapezoidal matrix A to upper triangular form by means of unitary transformations. The upper trapezoidal matrix A is factored as A = ( R 0 ) * Z, where Z is an N-by-N unitary matrix and R is an M-by-M upper triangular matrix. |
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complib/cung2l(3) -- generate an m by n complex matrix Q with orthonormal columns,
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CUNG2L generates an m by n complex matrix Q with orthonormal columns, which is defined as the last n columns of a product of k elementary reflectors of order m Q = H(k) . . . H(2) H(1) as returned by CGEQLF. |
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complib/cung2r(3) -- generate an m by n complex matrix Q with orthonormal columns,
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CUNG2R generates an m by n complex matrix Q with orthonormal columns, which is defined as the first n columns of a product of k elementary reflectors of order m Q = H(1) H(2) . . . H(k) as returned by CGEQRF. |
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complib/cungbr(3) -- generate one of the complex unitary matrices Q or P**H determined by CGEBRD when reducing a complex matrix A t
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CUNGBR generates one of the complex unitary matrices Q or P**H determined by CGEBRD when reducing a complex matrix A to bidiagonal form: A = Q * B * P**H. Q and P**H are defined as products of elementary reflectors H(i) or G(i) respectively. If VECT = 'Q', A is assumed to have been an M-by-K matrix, and Q is of order M: if m >= k, Q = H(1) H(2) . . . H(k) and CUNGBR returns the first n columns of Q, where m >= n >= k; if m < k, Q = H(1) H(2) . . . H(m-1) and CUNGBR returns Q as an M-by-M matri... |
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complib/cunghr(3) -- product of IHI-ILO elementary reflectors of order N, as returned by CGEHRD
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CUNGHR generates a complex unitary matrix Q which is defined as the product of IHI-ILO elementary reflectors of order N, as returned by CGEHRD: Q = H(ilo) H(ilo+1) . . . H(ihi-1). |
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complib/cungl2(3) -- generate an m-by-n complex matrix Q with orthonormal rows,
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CUNGL2 generates an m-by-n complex matrix Q with orthonormal rows, which is defined as the first m rows of a product of k elementary reflectors of order n Q = H(k)' . . . H(2)' H(1)' as returned by CGELQF. |
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complib/cunglq(3) -- generate an M-by-N complex matrix Q with orthonormal rows,
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CUNGLQ generates an M-by-N complex matrix Q with orthonormal rows, which is defined as the first M rows of a product of K elementary reflectors of order N Q = H(k)' . . . H(2)' H(1)' as returned by CGELQF. |
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complib/cungql(3) -- generate an M-by-N complex matrix Q with orthonormal columns,
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CUNGQL generates an M-by-N complex matrix Q with orthonormal columns, which is defined as the last N columns of a product of K elementary reflectors of order M Q = H(k) . . . H(2) H(1) as returned by CGEQLF. |
