double

Collaboration diagram for double:

Functions
subroutine	dlahrd (N, K, NB, A, LDA, TAU, T, LDT, Y, LDY)
	DLAHRD reduces the first nb columns of a general rectangular matrix A so that elements below the k-th subdiagonal are zero, and returns auxiliary matrices which are needed to apply the transformation to the unreduced part of A. More...
subroutine	dlabrd (M, N, NB, A, LDA, D, E, TAUQ, TAUP, X, LDX, Y, LDY)
	DLABRD reduces the first nb rows and columns of a general matrix to a bidiagonal form. More...
subroutine	dlacn2 (N, V, X, ISGN, EST, KASE, ISAVE)
	DLACN2 estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products. More...
subroutine	dlacon (N, V, X, ISGN, EST, KASE)
	DLACON estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products. More...
subroutine	dladiv (A, B, C, D, P, Q)
	DLADIV performs complex division in real arithmetic, avoiding unnecessary overflow. More...
subroutine	dladiv1 (A, B, C, D, P, Q)
double precision function	dladiv2 (A, B, C, D, R, T)
subroutine	dlaein (RIGHTV, NOINIT, N, H, LDH, WR, WI, VR, VI, B, LDB, WORK, EPS3, SMLNUM, BIGNUM, INFO)
	DLAEIN computes a specified right or left eigenvector of an upper Hessenberg matrix by inverse iteration. More...
subroutine	dlaexc (WANTQ, N, T, LDT, Q, LDQ, J1, N1, N2, WORK, INFO)
	DLAEXC swaps adjacent diagonal blocks of a real upper quasi-triangular matrix in Schur canonical form, by an orthogonal similarity transformation. More...
subroutine	dlag2 (A, LDA, B, LDB, SAFMIN, SCALE1, SCALE2, WR1, WR2, WI)
	DLAG2 computes the eigenvalues of a 2-by-2 generalized eigenvalue problem, with scaling as necessary to avoid over-/underflow. More...
subroutine	dlag2s (M, N, A, LDA, SA, LDSA, INFO)
	DLAG2S converts a double precision matrix to a single precision matrix. More...
subroutine	dlags2 (UPPER, A1, A2, A3, B1, B2, B3, CSU, SNU, CSV, SNV, CSQ, SNQ)
	DLAGS2 computes 2-by-2 orthogonal matrices U, V, and Q, and applies them to matrices A and B such that the rows of the transformed A and B are parallel. More...
subroutine	dlagtm (TRANS, N, NRHS, ALPHA, DL, D, DU, X, LDX, BETA, B, LDB)
	DLAGTM performs a matrix-matrix product of the form C = αAB+βC, where A is a tridiagonal matrix, B and C are rectangular matrices, and α and β are scalars, which may be 0, 1, or -1. More...
subroutine	dlagv2 (A, LDA, B, LDB, ALPHAR, ALPHAI, BETA, CSL, SNL, CSR, SNR)
	DLAGV2 computes the Generalized Schur factorization of a real 2-by-2 matrix pencil (A,B) where B is upper triangular. More...
subroutine	dlahqr (WANTT, WANTZ, N, ILO, IHI, H, LDH, WR, WI, ILOZ, IHIZ, Z, LDZ, INFO)
	DLAHQR computes the eigenvalues and Schur factorization of an upper Hessenberg matrix, using the double-shift/single-shift QR algorithm. More...
subroutine	dlahr2 (N, K, NB, A, LDA, TAU, T, LDT, Y, LDY)
	DLAHR2 reduces the specified number of first columns of a general rectangular matrix A so that elements below the specified subdiagonal are zero, and returns auxiliary matrices which are needed to apply the transformation to the unreduced part of A. More...
subroutine	dlaic1 (JOB, J, X, SEST, W, GAMMA, SESTPR, S, C)
	DLAIC1 applies one step of incremental condition estimation. More...
subroutine	dlaln2 (LTRANS, NA, NW, SMIN, CA, A, LDA, D1, D2, B, LDB, WR, WI, X, LDX, SCALE, XNORM, INFO)
	DLALN2 solves a 1-by-1 or 2-by-2 linear system of equations of the specified form. More...
double precision function	dlangt (NORM, N, DL, D, DU)
	DLANGT returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general tridiagonal matrix. More...
double precision function	dlanhs (NORM, N, A, LDA, WORK)
	DLANHS returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of an upper Hessenberg matrix. More...
double precision function	dlansb (NORM, UPLO, N, K, AB, LDAB, WORK)
	DLANSB returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a symmetric band matrix. More...
double precision function	dlansp (NORM, UPLO, N, AP, WORK)
	DLANSP returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a symmetric matrix supplied in packed form. More...
double precision function	dlantb (NORM, UPLO, DIAG, N, K, AB, LDAB, WORK)
	DLANTB returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a triangular band matrix. More...
double precision function	dlantp (NORM, UPLO, DIAG, N, AP, WORK)
	DLANTP returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a triangular matrix supplied in packed form. More...
double precision function	dlantr (NORM, UPLO, DIAG, M, N, A, LDA, WORK)
	DLANTR returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a trapezoidal or triangular matrix. More...
subroutine	dlanv2 (A, B, C, D, RT1R, RT1I, RT2R, RT2I, CS, SN)
	DLANV2 computes the Schur factorization of a real 2-by-2 nonsymmetric matrix in standard form. More...
subroutine	dlapll (N, X, INCX, Y, INCY, SSMIN)
	DLAPLL measures the linear dependence of two vectors. More...
subroutine	dlapmr (FORWRD, M, N, X, LDX, K)
	DLAPMR rearranges rows of a matrix as specified by a permutation vector. More...
subroutine	dlapmt (FORWRD, M, N, X, LDX, K)
	DLAPMT performs a forward or backward permutation of the columns of a matrix. More...
subroutine	dlaqp2 (M, N, OFFSET, A, LDA, JPVT, TAU, VN1, VN2, WORK)
	DLAQP2 computes a QR factorization with column pivoting of the matrix block. More...
subroutine	dlaqps (M, N, OFFSET, NB, KB, A, LDA, JPVT, TAU, VN1, VN2, AUXV, F, LDF)
	DLAQPS computes a step of QR factorization with column pivoting of a real m-by-n matrix A by using BLAS level 3. More...
subroutine	dlaqr0 (WANTT, WANTZ, N, ILO, IHI, H, LDH, WR, WI, ILOZ, IHIZ, Z, LDZ, WORK, LWORK, INFO)
	DLAQR0 computes the eigenvalues of a Hessenberg matrix, and optionally the matrices from the Schur decomposition. More...
subroutine	dlaqr1 (N, H, LDH, SR1, SI1, SR2, SI2, V)
	DLAQR1 sets a scalar multiple of the first column of the product of 2-by-2 or 3-by-3 matrix H and specified shifts. More...
subroutine	dlaqr2 (WANTT, WANTZ, N, KTOP, KBOT, NW, H, LDH, ILOZ, IHIZ, Z, LDZ, NS, ND, SR, SI, V, LDV, NH, T, LDT, NV, WV, LDWV, WORK, LWORK)
	DLAQR2 performs the orthogonal similarity transformation of a Hessenberg matrix to detect and deflate fully converged eigenvalues from a trailing principal submatrix (aggressive early deflation). More...
subroutine	dlaqr3 (WANTT, WANTZ, N, KTOP, KBOT, NW, H, LDH, ILOZ, IHIZ, Z, LDZ, NS, ND, SR, SI, V, LDV, NH, T, LDT, NV, WV, LDWV, WORK, LWORK)
	DLAQR3 performs the orthogonal similarity transformation of a Hessenberg matrix to detect and deflate fully converged eigenvalues from a trailing principal submatrix (aggressive early deflation). More...
subroutine	dlaqr4 (WANTT, WANTZ, N, ILO, IHI, H, LDH, WR, WI, ILOZ, IHIZ, Z, LDZ, WORK, LWORK, INFO)
	DLAQR4 computes the eigenvalues of a Hessenberg matrix, and optionally the matrices from the Schur decomposition. More...
subroutine	dlaqr5 (WANTT, WANTZ, KACC22, N, KTOP, KBOT, NSHFTS, SR, SI, H, LDH, ILOZ, IHIZ, Z, LDZ, V, LDV, U, LDU, NV, WV, LDWV, NH, WH, LDWH)
	DLAQR5 performs a single small-bulge multi-shift QR sweep. More...
subroutine	dlaqsb (UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, EQUED)
	DLAQSB scales a symmetric/Hermitian band matrix, using scaling factors computed by spbequ. More...
subroutine	dlaqsp (UPLO, N, AP, S, SCOND, AMAX, EQUED)
	DLAQSP scales a symmetric/Hermitian matrix in packed storage, using scaling factors computed by sppequ. More...
subroutine	dlaqtr (LTRAN, LREAL, N, T, LDT, B, W, SCALE, X, WORK, INFO)
	DLAQTR solves a real quasi-triangular system of equations, or a complex quasi-triangular system of special form, in real arithmetic. More...
subroutine	dlar1v (N, B1, BN, LAMBDA, D, L, LD, LLD, PIVMIN, GAPTOL, Z, WANTNC, NEGCNT, ZTZ, MINGMA, R, ISUPPZ, NRMINV, RESID, RQCORR, WORK)
	DLAR1V computes the (scaled) r-th column of the inverse of the submatrix in rows b1 through bn of the tridiagonal matrix LDLT - λI. More...
subroutine	dlar2v (N, X, Y, Z, INCX, C, S, INCC)
	DLAR2V applies a vector of plane rotations with real cosines and real sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices. More...
subroutine	dlarf (SIDE, M, N, V, INCV, TAU, C, LDC, WORK)
	DLARF applies an elementary reflector to a general rectangular matrix. More...
subroutine	dlarfb (SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV, T, LDT, C, LDC, WORK, LDWORK)
	DLARFB applies a block reflector or its transpose to a general rectangular matrix. More...
subroutine	dlarfg (N, ALPHA, X, INCX, TAU)
	DLARFG generates an elementary reflector (Householder matrix). More...
subroutine	dlarfgp (N, ALPHA, X, INCX, TAU)
	DLARFGP generates an elementary reflector (Householder matrix) with non-negative beta. More...
subroutine	dlarft (DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT)
	DLARFT forms the triangular factor T of a block reflector H = I - vtvH More...
subroutine	dlarfx (SIDE, M, N, V, TAU, C, LDC, WORK)
	DLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10. More...
subroutine	dlarfy (UPLO, N, V, INCV, TAU, C, LDC, WORK)
	DLARFY More...
subroutine	dlargv (N, X, INCX, Y, INCY, C, INCC)
	DLARGV generates a vector of plane rotations with real cosines and real sines. More...
subroutine	dlarrv (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)
	DLARRV computes the eigenvectors of the tridiagonal matrix T = L D LT given L, D and the eigenvalues of L D LT. More...
subroutine	dlartv (N, X, INCX, Y, INCY, C, S, INCC)
	DLARTV applies a vector of plane rotations with real cosines and real sines to the elements of a pair of vectors. More...
subroutine	dlaswp (N, A, LDA, K1, K2, IPIV, INCX)
	DLASWP performs a series of row interchanges on a general rectangular matrix. More...
subroutine	dlat2s (UPLO, N, A, LDA, SA, LDSA, INFO)
	DLAT2S converts a double-precision triangular matrix to a single-precision triangular matrix. More...
subroutine	dlatbs (UPLO, TRANS, DIAG, NORMIN, N, KD, AB, LDAB, X, SCALE, CNORM, INFO)
	DLATBS solves a triangular banded system of equations. More...
subroutine	dlatdf (IJOB, N, Z, LDZ, RHS, RDSUM, RDSCAL, IPIV, JPIV)
	DLATDF uses the LU factorization of the n-by-n matrix computed by sgetc2 and computes a contribution to the reciprocal Dif-estimate. More...
subroutine	dlatps (UPLO, TRANS, DIAG, NORMIN, N, AP, X, SCALE, CNORM, INFO)
	DLATPS solves a triangular system of equations with the matrix held in packed storage. More...
subroutine	dlatrd (UPLO, N, NB, A, LDA, E, TAU, W, LDW)
	DLATRD reduces the first nb rows and columns of a symmetric/Hermitian matrix A to real tridiagonal form by an orthogonal similarity transformation. More...
subroutine	dlatrs (UPLO, TRANS, DIAG, NORMIN, N, A, LDA, X, SCALE, CNORM, INFO)
	DLATRS solves a triangular system of equations with the scale factor set to prevent overflow. More...
subroutine	dlauu2 (UPLO, N, A, LDA, INFO)
	DLAUU2 computes the product UUH or LHL, where U and L are upper or lower triangular matrices (unblocked algorithm). More...
subroutine	dlauum (UPLO, N, A, LDA, INFO)
	DLAUUM computes the product UUH or LHL, where U and L are upper or lower triangular matrices (blocked algorithm). More...
subroutine	drscl (N, SA, SX, INCX)
	DRSCL multiplies a vector by the reciprocal of a real scalar. More...
subroutine	dtprfb (SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T, LDT, A, LDA, B, LDB, WORK, LDWORK)
	DTPRFB applies a real or complex "triangular-pentagonal" blocked reflector to a real or complex matrix, which is composed of two blocks. More...
subroutine	slatrd (UPLO, N, NB, A, LDA, E, TAU, W, LDW)
	SLATRD reduces the first nb rows and columns of a symmetric/Hermitian matrix A to real tridiagonal form by an orthogonal similarity transformation. More...

Detailed Description

This is the group of double other auxiliary routines