Section 3: library functions
zlascl.f – Synopsis Functions/Subroutines subroutine zlascl (TYPE, KL, KU, CFROM, CTO, M, N, A, LDA, INFO) ZLASCL multiplies a general rectangular matrix by a real scalar defined as cto/cfrom. Function/Subroutine Documentation subroutine zlascl (characterTYPE, integerKL, integerKU, double precisionCFROM, double precisionCTO, integerM, integerN, complex*16, dimension( lda, * )A, integerLDA, integerINFO) ZLASCL multiplies a general rectangular matrix…
zlarzt.f – Synopsis Functions/Subroutines subroutine zlarzt (DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT) ZLARZT forms the triangular factor T of a block reflector H = I – vtvH. Function/Subroutine Documentation subroutine zlarzt (characterDIRECT, characterSTOREV, integerN, integerK, complex*16, dimension( ldv, * )V, integerLDV, complex*16, dimension( * )TAU, complex*16, dimension( ldt, * )T, integerLDT) ZLARZT…
zlarzt.f – Synopsis Functions/Subroutines subroutine zlarzt (DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT) ZLARZT forms the triangular factor T of a block reflector H = I – vtvH. Function/Subroutine Documentation subroutine zlarzt (characterDIRECT, characterSTOREV, integerN, integerK, complex*16, dimension( ldv, * )V, integerLDV, complex*16, dimension( * )TAU, complex*16, dimension( ldt, * )T, integerLDT) ZLARZT…
zlarzb.f – Synopsis Functions/Subroutines subroutine zlarzb (SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T, LDT, C, LDC, WORK, LDWORK) ZLARZB applies a block reflector or its conjugate-transpose to a general matrix. Function/Subroutine Documentation subroutine zlarzb (characterSIDE, characterTRANS, characterDIRECT, characterSTOREV, integerM, integerN, integerK, integerL, complex*16, dimension( ldv, * )V, integerLDV, complex*16, dimension( ldt,…
zlarzb.f – Synopsis Functions/Subroutines subroutine zlarzb (SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T, LDT, C, LDC, WORK, LDWORK) ZLARZB applies a block reflector or its conjugate-transpose to a general matrix. Function/Subroutine Documentation subroutine zlarzb (characterSIDE, characterTRANS, characterDIRECT, characterSTOREV, integerM, integerN, integerK, integerL, complex*16, dimension( ldv, * )V, integerLDV, complex*16, dimension( ldt,…
zlarz.f – Synopsis Functions/Subroutines subroutine zlarz (SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK) ZLARZ applies an elementary reflector (as returned by stzrzf) to a general matrix. Function/Subroutine Documentation subroutine zlarz (characterSIDE, integerM, integerN, integerL, complex*16, dimension( * )V, integerINCV, complex*16TAU, complex*16, dimension( ldc, * )C, integerLDC, complex*16, dimension( * )WORK) ZLARZ applies…
zlarz.f – Synopsis Functions/Subroutines subroutine zlarz (SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK) ZLARZ applies an elementary reflector (as returned by stzrzf) to a general matrix. Function/Subroutine Documentation subroutine zlarz (characterSIDE, integerM, integerN, integerL, complex*16, dimension( * )V, integerINCV, complex*16TAU, complex*16, dimension( ldc, * )C, integerLDC, complex*16, dimension( * )WORK) ZLARZ applies…
zlartv.f – Synopsis Functions/Subroutines subroutine zlartv (N, X, INCX, Y, INCY, C, S, INCC) ZLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors. Function/Subroutine Documentation subroutine zlartv (integerN, complex*16, dimension( * )X, integerINCX, complex*16, dimension( * )Y, integerINCY, double precision, dimension( * )C,…
zlartv.f – Synopsis Functions/Subroutines subroutine zlartv (N, X, INCX, Y, INCY, C, S, INCC) ZLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors. Function/Subroutine Documentation subroutine zlartv (integerN, complex*16, dimension( * )X, integerINCX, complex*16, dimension( * )Y, integerINCY, double precision, dimension( * )C,…
zlartg.f – Synopsis Functions/Subroutines subroutine zlartg (F, G, CS, SN, R) ZLARTG generates a plane rotation with real cosine and complex sine. Function/Subroutine Documentation subroutine zlartg (complex*16F, complex*16G, double precisionCS, complex*16SN, complex*16R) ZLARTG generates a plane rotation with real cosine and complex sine. Purpose: ZLARTG generates a plane rotation so that [ CS SN ]…
zlartg.f – Synopsis Functions/Subroutines subroutine zlartg (F, G, CS, SN, R) ZLARTG generates a plane rotation with real cosine and complex sine. Function/Subroutine Documentation subroutine zlartg (complex*16F, complex*16G, double precisionCS, complex*16SN, complex*16R) ZLARTG generates a plane rotation with real cosine and complex sine. Purpose: ZLARTG generates a plane rotation so that [ CS SN ]…
zlarscl2.f – Synopsis Functions/Subroutines subroutine zlarscl2 (M, N, D, X, LDX) ZLARSCL2 performs reciprocal diagonal scaling on a vector. Function/Subroutine Documentation subroutine zlarscl2 (integerM, integerN, double precision, dimension( * )D, complex*16, dimension( ldx, * )X, integerLDX) ZLARSCL2 performs reciprocal diagonal scaling on a vector. Purpose: ZLARSCL2 performs a reciprocal diagonal scaling on an vector: x…
zlarscl2.f – Synopsis Functions/Subroutines subroutine zlarscl2 (M, N, D, X, LDX) ZLARSCL2 performs reciprocal diagonal scaling on a vector. Function/Subroutine Documentation subroutine zlarscl2 (integerM, integerN, double precision, dimension( * )D, complex*16, dimension( ldx, * )X, integerLDX) ZLARSCL2 performs reciprocal diagonal scaling on a vector. Purpose: ZLARSCL2 performs a reciprocal diagonal scaling on an vector: x…
zlarrv.f – Synopsis Functions/Subroutines subroutine zlarrv (N, VL, VU, D, L, PIVMIN, ISPLIT, M, DOL, DOU, MINRGP, RTOL1, RTOL2, W, WERR, WGAP, IBLOCK, INDEXW, GERS, Z, LDZ, ISUPPZ, WORK, IWORK, INFO) ZLARRV computes the eigenvectors of the tridiagonal matrix T = L D LT given L, D and the eigenvalues of L D LT. Function/Subroutine…
zlarrv.f – Synopsis Functions/Subroutines subroutine zlarrv (N, VL, VU, D, L, PIVMIN, ISPLIT, M, DOL, DOU, MINRGP, RTOL1, RTOL2, W, WERR, WGAP, IBLOCK, INDEXW, GERS, Z, LDZ, ISUPPZ, WORK, IWORK, INFO) ZLARRV computes the eigenvectors of the tridiagonal matrix T = L D LT given L, D and the eigenvalues of L D LT. Function/Subroutine…
zlarnv.f – Synopsis Functions/Subroutines subroutine zlarnv (IDIST, ISEED, N, X) ZLARNV returns a vector of random numbers from a uniform or normal distribution. Function/Subroutine Documentation subroutine zlarnv (integerIDIST, integer, dimension( 4 )ISEED, integerN, complex*16, dimension( * )X) ZLARNV returns a vector of random numbers from a uniform or normal distribution. Purpose: ZLARNV returns a vector…
zlarnv.f – Synopsis Functions/Subroutines subroutine zlarnv (IDIST, ISEED, N, X) ZLARNV returns a vector of random numbers from a uniform or normal distribution. Function/Subroutine Documentation subroutine zlarnv (integerIDIST, integer, dimension( 4 )ISEED, integerN, complex*16, dimension( * )X) ZLARNV returns a vector of random numbers from a uniform or normal distribution. Purpose: ZLARNV returns a vector…
zlargv.f – Synopsis Functions/Subroutines subroutine zlargv (N, X, INCX, Y, INCY, C, INCC) ZLARGV generates a vector of plane rotations with real cosines and complex sines. Function/Subroutine Documentation subroutine zlargv (integerN, complex*16, dimension( * )X, integerINCX, complex*16, dimension( * )Y, integerINCY, double precision, dimension( * )C, integerINCC) ZLARGV generates a vector of plane rotations with…
zlargv.f – Synopsis Functions/Subroutines subroutine zlargv (N, X, INCX, Y, INCY, C, INCC) ZLARGV generates a vector of plane rotations with real cosines and complex sines. Function/Subroutine Documentation subroutine zlargv (integerN, complex*16, dimension( * )X, integerINCX, complex*16, dimension( * )Y, integerINCY, double precision, dimension( * )C, integerINCC) ZLARGV generates a vector of plane rotations with…
zlarfx.f – Synopsis Functions/Subroutines subroutine zlarfx (SIDE, M, N, V, TAU, C, LDC, WORK) ZLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10. Function/Subroutine Documentation subroutine zlarfx (characterSIDE, integerM, integerN, complex*16, dimension( * )V, complex*16TAU, complex*16, dimension( ldc, * )C, integerLDC, complex*16, dimension( *…