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file toms/380for matrix transposename TRANSref Comm. ACM 13 324file toms/386for greatest common divisor (GCD)ref Comm. ACM 13 447file toms/400name HRVINTfor Havie integration with expanded Rutishauser summationref Comm. ACM, 13 622.file toms/403for generate integer partitionsname CIRPIref Comm. ACM 14file toms/404for complex gamma functionname CGAMMAref Comm. ACM 14file toms/406for exact solution of linear system by residue arithmeticname EXACTref Comm. ACM 14 180file toms/407for ordinary differential equationsname DIFSUBref Comm. ACM 14 185file toms/408for sparse matrix arithmeticref Comm. ACM 14 265file toms/410for sortname PSORTref Comm. ACM 15 357file toms/413for taylor series coefficient by contour integrationname ENTCREref Comm. ACM 14 669file toms/414for Chebyshev Approximation by the method of Remezlang publication Algolfile toms/419key polynomial zerosname CPOLYfor zeros of a complex polynomialalg Jenkins and Traubref Comm. ACM 15 (1972) 97-99file toms/420for surface mesh plotref Comm. ACM 15 100file toms/432for matrix Ricatti equation AX + XB = Cname AXPXBref Comm. ACM 15 820file toms/433for univariate interpolationname INTRPLref Comm. ACM 15 914file toms/458for discrete linea l1 approximationalg suboptimization method of interval linear programmingname APPROXref Comm. ACM 16 629file toms/473for Legendre series from Chebyshev seriesname LEGSERref Comm. ACM 17 25file toms/474for bicubic interpolationname ITPLBVref Comm. ACMfile toms/475for surface mesh plotname INIT3Dby Thomas Wright, NCARref PROC 1972 SUMMER COMPUTER SIMULATION CONFERENCE, 261-267file toms/476for spline under tensionname CURV1ref Comm. ACM 17 220file toms/478for L1 solution to overdetermined linear systemalg simplexname L1ref Comm. ACM 17 319file toms/479for minimal spanning tree, point clusteringname GROWref Comm. ACM 17 321file toms/483for surface mesh plotname PLOT3Dref Comm. ACM 17 520file toms/484for complex modified Bessel function of second kind, K0 and K1name KZEONEref Comm. ACM 17 524file toms/485for interpolating g-splinename GSFref Comm. ACM 17 526file toms/487for probability of discrepancy between empirical and proposed distributionname PKS2alg Durbin, Ann. Math. Stat. 389 (1968) 398ref Comm. ACM 17 703file toms/488for normal random numbersname GRANDalg Von Neuman/Forsythe/Ahrens/Dieter/Brentref Comm. ACM 17 704file toms/490for real dilogarithmname DILOGref Comm. ACM 18 200file toms/493key polynomial zerosgams F1a1name RPOLYfor zeros of a real polynomialalg Jenkins and Traubby M.A. Jenkinsref ACM TOMS 1 (1975) 178-189file toms/494key partial and ordinary differential equations, method of linesgams I2a1aname PDEONEfor systems of nonlinear parabolic partial differential equations in one space dimensionalg method of linesby R.F. Sincovec and N.K. Madsenref ACM TOMS 1 (1975) 261-263file toms/495key Chebyshev solution, linear system, linear programming, simplex methodgams D9a2name CHEBfor overdetermined systems of linear equations in the Chebyshev normalg a variant of the simplex methodby I. Barrodale and C. Phillipsref ACM TOMS 1 (1975) 264-270file toms/496key eigenvalue, generalized eigenvalue problemgams D4b4name LZHES/LZITfor generalized eigenvalue problem for complex matricesalg LZ algorithmby L.C. Kaufmanref ACM TOMS 1 (1975) 271-281file toms/497key functional differential equations, integration, one step, multistepgams I1a1aname DMRODEfor integration of functional differential equations, such as retarded ordinary differential equations, Volterra integro-differential equations, and difference differential equationsby K.W. Nevesref ACM TOMS 1 (1975) 369-371file toms/498key Airy function, Chebyshev series, asymptotic or Taylor expansiongams C10dname AIRYfor Airy functions Ai(z), Bi(z) and derivatives for real values of zalg Chebyshev series approximationsby P.J. Princeref ACM TOMS 1 (1975) 372-379file toms/499key pattern recognition, PDE, finite difference, Laplace equationgams I2b4,Pname CONOPTfor contour scanning path for a two-dimensional region# The path is designed to help accelerate the propagation of edge# effects when solving two-dimensional partial# differential equations using iterative methodsby W. Kinsner and E.D. Torreref ACM TOMS 2 (1976) 82-86file toms/500key minimization, optimizationgams G1b1bname MINIfor unconstrained minimum of multivariate functionalg quasi-Newtonby D.F. Shanno and K.H. Phuaref ACM TOMS 1 (1975) 87-94file toms/501key polynomial approximation, exchange algorithm, Chebyshev approximationgams K2name APPROX/EXCHfor best polynomial approximation to a discrete one-dimensional data set in the Chebyshev (minimax) senseby J.C. Simpsonref ACM TOMS 2 (1976) 95-97file toms/502key nonlinear equation, differentiation parameter, 1 parameter embeddinggams F2name DERPARfor continuationalg modified method of Davidenko, Newton's method, Adam's integrationby M. Kubicekref ACM TOMS 2 (1976) 98-107file toms/503key linear integral equations, nystrom methodgams I3name IESIMP and IEGAUSfor one-dimensional linear Fredholm integral equations of the second kindalg Nystrom method using Simpson's and Gauss quadratureby K. Atkinsonref ACM TOMS 2 (1976) 196-199file toms/504key ODE, IVP, global error estimation, Runge-Kutta-Fehlberggams I1a1aname GERKfor nonlinear systems of ordinary differential equations with global error estimate# Integration is performed on different meshes and global extrapolation# is used to estimate the global error in the more accurate solution.# The integration is done using Runge-Kutta-Fehlberg methods of 4th and# 5th orderby L.F. Shampine and H.A. Wattsref ACM TOMS 2 (1976) 200-203file toms/505key sorting, searching, linked lists, data structure, list operationgams N6a2aname SPNfor insertion sort for linked lists, insensitive to the key distributionref ACM TOMS 2 (1976) 204-206file toms/506key eigenvalues, QR algorithmgams D4c2bname HQR3for reduces an upper Hessenberg matrix to quasi-triangular formalg unitary similarity transformationsby G.W. Stewartref ACM TOMS 2 (1976) 275-280file toms/507key approximation, interpolation, spline approximation, quintic splinegams E1aname QUINATfor interpolating quintic natural splineby J.G. Herriot and C.H. Reinschref ACM TOMS 2 (1976) 281-289lang Algolfile toms/508key bandwidth reduction, profile reduction, sparse matrixgams D2ename REDUCEfor reducing the bandwidth and profile of sparse symmetric matrices using row and column permutationsby H.L. Crane et al.ref ACM TOMS 2 (1976) 375-377file toms/509key bandwidth reduction, king algorithm, profile reduction, sparse matrixgams D2efor reducing the bandwidth and profile of sparse symmetric matrices. modification of algorithm 508by N.E. Gibbsref ACM TOMS 2 (1976) 378-387file toms/510key piecewise linear functiongams K4name STL2for piecewise linear approximation of given data points# The approximant need not be continuous, and distinct tolerances# may be specified for each data pointby D.G. Wilsonref ACM TOMS 2 (1976) 388-391file toms/511key Bessel function first kind, Airy function, asymptotic expansiongams C10a3,C10b3name IBESS and JBESSfor CDC 6600 Fortran subroutines for Bessel functions Iv(x) and Jv(x), for real x.ge.0, and real v.ge.0by D.E. Amos, S.L. Daniel, and M.K. Westonref ACM TOMS 3 (1977) 93-95file toms/512key linear function, normalized solution, periodic quindiagonal, psdgams D2b2,I2b4bname FACTOR, RHS, and SOLVEfor symmetric positive definite periodic quindiagonal systems of linear equations.by A. Benson, and D.J. Evansref ACM TOMS 3 (1977) 96-103file toms/513key transposition in place, matrix transposition, permutationgams D1b3name TRANSfor in-situ matrix transposition, revision of algorithm 380alg makes use of the cyclic structure of the transposition mappingby E.G. Cate and D.W. Twiggref ACM TOMS 3 (1977) 104-110file toms/514key interpolation, cubic splines, spline approximationgams E1alang Algolfor piecewise cubic interpolation using local databy M.R. Ellis and D.H. McLainref ACM TOMS 3 (1977) 175-179file toms/515key combinationsgams B,C1name COMBfor generates a vector from a lexicographical index# That is, let C1, C2, ... Cm be the set of# combinations of n items taken p at a time arranged in lexographical# order. Given an integer i, this routine finds Ciby B.P. Buckles and M. Lybanonref ACM TOMS 3 (1977) 180-182file toms/516key confidence interval, illinois method, regula falsi, rank testgams L4b1bname RANKCIfor confidence intervals and point estimates based on ranks in the two-sample location problem.by J.W. McKean and T.A. Ryan, Jr.ref ACM TOMS 3 (1977) 183-185file toms/517key eigenvalues, condition numbergams D4c2bname CONDIT and QR2NOZfor condition numbers of matrix eigenvalues without computing eigenvectorsby S.P. Chan, R. Feldman, and B.N. Parlettref ACM TOMS 3 (1977) 186-203file toms/518key incomplete Bessel function, von mises distributiongams C10b1,L5a1vname VMISESfor computes the left tail area of the Von Mises distribution, which is equal to the incomplete modified Bessel function of the first kind and zero-th order (I0)by G.W. Hillref ACM TOMS 3 (1977) 279-284file toms/519key Kolmogorov-Smirnov probabilitiesgams L5a1uname RAKK, DURB, and EPSTfor Kolmogorov-Smirnov probabilities with arbitrary boundariesalg RAKK is a generalization of Massey's method. DURB is Durbin's method. EPST is the Epanechnikov, Steck methodby R. Kallmanref ACM TOMS 3 (1977) 285-294file toms/520key resource allocation, linear programminggams G2c5name ARSMEfor resource constrained network scheduling, activities arbitrarily interrupted and restarted later with no increase in activity durationalg automatic revised simplex methodby J. Weglarzet et al.ref ACM TOMS 3 (1977) 295-300file toms/521key integral of the coerror function, Miller recurrence algorithmgams C8aname INERFCfor repeated integrals of the coerror functionby W. Gautschiref ACM TOMS 3 (1977) 301-302file toms/522key symbolic and algebraic manipulation, linear, congruence techniquegams D2a1name ESOLVEfor exact solution of systems of linear equationsalg multiple-precision integer coefficients, congruence techniquesby S. Cabay and T.P.L. Lamref ACM TOMS 3 (1977) 404-410file toms/523key partitioning, sortinggams Pname CONVEXfor planar convex hullby W. F. Eddyref ACM TOMS 3 (1977) 411-412file toms/524key multiple precision, extended precision, floating point arithmeticgams A3cname MPfor multiple precision floating point arithmetic and evaluating elementary and special functionsby R.P. Brentref ACM TOMS 4 (1978) 71-81file toms/525key spline approximation, adaptive curve fitting, Hermite interpolationgams K1a1a1,K2,K3,K4name ADAPTfor approximating a user-defined function by a piecewise polynomial of specified smoothness and degree and normby J.R. Riceref ACM TOMS 4 (1978) 82-94file toms/526key bivariate interpolation, piecewise polynomial interpolationgams E2bname IDBVIP and IDSFFTfor bivariate interpolation and smooth surface fitting for irregularly distributed data pointsby H. Akimaref ACM TOMS 4 (1978) 160-164file toms/527key marching algorithm, block tridiagonal matrix, elliptic PDEgams I2b1a2,I2b4bname GMA, GMAS, and KPICKfor linear systems arising from 5-point discretizations of separable or constant coefficient elliptic boundary-value problems on rectangular domains; Dirichlet,Neumann, mixed, or periodic boundary conditionsalg generalized marching algorithmby R.E. Bankref ACM TOMS 4 (1978) 165-176file toms/528key libraries, error handling, storage management, machine dependenciesgams R1,R3,N4name PORTfor framework for a portable Fortran subroutine library: machine-dependent constants, automatic error handling, and dynamic storage allocation using a stackby P.A. Fox, A.D. Hall, and N.L. Schryerref ACM TOMS 4 (1978) 176-188file toms/529key symmetric permutations, block triangular, depth first search, sparsegams D2ename MC13Dfor finding symmetric permutations to block triangular form# That is, given the column numbers of the nonzeros in each row of a# sparse matrix, this subroutine finds a# symmetric permutation that makes the matrix block lower triangular.by I.S. Duff and J.K. Reidref ACM TOMS 4 (1978) 189-192file toms/530
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