
complib/zlapll(3)  two column vectors X and Y, let A = ( X Y )

Given two column vectors X and Y, let The subroutine first computes the QR factorization of A = Q*R, and then computes the SVD of the 2by2 upper triangular matrix R. The smaller singular value of R is returned in SSMIN, which is used as the measurement of the linear dependency of the vectors X and Y. 
complib/zlapmt(3)  rearrange the columns of the M by N matrix X as specified by the permutation K(1),K(2),...,K(N) of the integer

ZLAPMT rearranges the columns of the M by N matrix X as specified by the permutation K(1),K(2),...,K(N) of the integers 1,...,N. If FORWRD = .TRUE., forward permutation: X(*,K(J)) is moved X(*,J) for J = 1,2,...,N. If FORWRD = .FALSE., backward permutation: X(*,J) is moved to X(*,K(J)) for J = 1,2,...,N. 

complib/zlaqgb(3)  equilibrate a general M by N band matrix A with KL subdiagonals and KU superdiagonals using the row and scalin

ZLAQGB equilibrates a general M by N band matrix A with KL subdiagonals and KU superdiagonals using the row and scaling factors in the vectors R and C. 
complib/zlaqge(3)  equilibrate a general M by N matrix A using the row and scaling factors in the vectors R and C

ZLAQGE equilibrates a general M by N matrix A using the row and scaling factors in the vectors R and C. 
complib/zlaqhb(3)  equilibrate a symmetric band matrix A using the scaling factors in the vector S

ZLAQHB equilibrates a symmetric band matrix A using the scaling factors in the vector S. 
complib/zlaqhe(3)  equilibrate a Hermitian matrix A using the scaling factors in the vector S

ZLAQHE equilibrates a Hermitian matrix A using the scaling factors in the vector S. 
complib/zlaqhp(3)  equilibrate a Hermitian matrix A using the scaling factors in the vector S

ZLAQHP equilibrates a Hermitian matrix A using the scaling factors in the vector S. 
complib/zlaqsb(3)  equilibrate a symmetric band matrix A using the scaling factors in the vector S

ZLAQSB equilibrates a symmetric band matrix A using the scaling factors in the vector S. 
complib/zlaqsp(3)  equilibrate a symmetric matrix A using the scaling factors in the vector S

ZLAQSP equilibrates a symmetric matrix A using the scaling factors in the vector S. 
complib/zlaqsy(3)  equilibrate a symmetric matrix A using the scaling factors in the vector S

ZLAQSY equilibrates a symmetric matrix A using the scaling factors in the vector S. 
complib/zlar2v(3)  from both sides to a sequence of 2by2 complex Hermitian matrices,

ZLAR2V applies a vector of complex plane rotations with real cosines from both sides to a sequence of 2by2 complex Hermitian matrices, defined by the elements of the vectors x, y and z. For i = 1,2,...,n ( x(i) z(i) ) := ( conjg(z(i)) y(i) ) ( c(i) conjg(s(i)) ) ( x(i) z(i) ) ( c(i) conjg(s(i)) ) ( s(i) c(i) ) ( conjg(z(i)) y(i) ) ( s(i) c(i) ) 
complib/zlarf(3)  applie a complex elementary reflector H to a complex MbyN matrix C, from either the left or the right

ZLARF applies a complex elementary reflector H to a complex MbyN matrix C, from either the left or the right. H is represented in the form H = I  tau * v * v' where tau is a complex scalar and v is a complex vector. If tau = 0, then H is taken to be the unit matrix. To apply H' (the conjugate transpose of H), supply conjg(tau) instead tau. 
complib/zlarfb(3)  complex MbyN matrix C, from either the left or the right

ZLARFB applies a complex block reflector H or its transpose H' to a complex MbyN matrix C, from either the left or the right. 
complib/zlarfg(3)  generate a complex elementary reflector H of order n, such that H' * ( alpha ) = ( beta ), H' * H = I

ZLARFG generates a complex elementary reflector H of order n, such that ( x ) ( 0 ) where alpha and beta are scalars, with beta real, and x is an (n1) element complex vector. H is represented in the form H = I  tau * ( 1 ) * ( 1 v' ) , ( v ) where tau is a complex scalar and v is a complex (n1)element vector. Note that H is not hermitian. If the elements of x are all zero and alpha is real, then tau = 0 and H is taken to be the unit matrix. Otherwise 1 <= real(tau) <= 2 and abs(tau1) <= 1... 
complib/zlarft(3)  form the triangular factor T of a complex block reflector H of order n, which is defined as a product of k ele

ZLARFT forms the triangular factor T of a complex block reflector H of order n, which is defined as a product of k elementary reflectors. If DIRECT = 'F', H = H(1) H(2) . . . H(k) and T is upper triangular; If DIRECT = 'B', H = H(k) . . . H(2) H(1) and T is lower triangular. If STOREV = 'C', the vector which defines the elementary reflector H(i) is stored in the ith column of the array V, and H = I  V * T * V' If STOREV = 'R', the vector which defines the elementary reflector H(i) is ... 