Index
Contents
fortra77/kap00/machpd.for
F 0 Auxiliary Library
fortra77/kap02/newmod.for
F 2.5.3 Newton's Method for Multiple Zeros
fortra77/kap02/newpol.for
The Newton Method for Polynomials
fortra77/kap02/newpsz.for
F 2 Nonlinear Equations in One Variable
F 2.5.1 The Newton Method for Simple Roots
fortra77/kap02/pegasu.for
F 2.8.2 Pegasus Method
fortra77/kap02/zeroin.for
F 2.8.5 Zeroin Method
fortra77/kap02/zerorf.for
F 2.8.4 The King and the Anderson-Björck-King Method
fortra77/kap03/baupol.for
F 3.3.3 Bauhuber's Method
fortra77/kap03/laguer.for
F 3.3.5 The Laguerre Method
fortra77/kap03/muller.for
F 3 Roots of Polynomials
F 3.3.2 Muller's Method
fortra77/kap04/band.for
F 4.13 Linear Systems with Band Matrices
Linear Systems with Band Matrices using Pivots
fortra77/kap04/cg.for
F 4.7.2 The Conjugate Gradient Method
fortra77/kap04/chobnd.for
The Cholesky Decomposition for Band Matrices
fortra77/kap04/choky.for
F 4.7.1 The Cholesky Decomposition
fortra77/kap04/chonpd.for
fortra77/kap04/cline.for
F 4.15.2 Condition Estimates
Condition Estimate according to Cline
fortra77/kap04/condae.for
Condition Estimate according to Forsythe/Moler
fortra77/kap04/cutcho.for
F 4.17 The Cuthill-McKee Algorithm
fortra77/kap04/cutgau.for
fortra77/kap04/cyctr.for
F 4.11.1 Systems with a Symm. Cyclically Tridiagonal Matrix
fortra77/kap04/cytnpd.for
fortra77/kap04/cytsy.for
F 4.11.2 Systems with Symm. Cycl. Trid. Str. Nonsing. Matrices
fortra77/kap04/fdiag.for
F 4.12.1 Systems with Five-Diagonal Matrices
fortra77/kap04/fdisy.for
F 4.12.2 Systems with Five-Diagonal Symmetric Matrices
fortra77/kap04/gausrs.for
F 4.5.4 Gauß Algorithm for Systems with Several Right Hand Sides
fortra77/kap04/gauss.for
F 4 Direct Methods for Solving Linear Systems
F 4.5.1 Gauß Algorithm with Column Pivot Search
fortra77/kap04/hacond.for
F 4.15.1 Error and the Condition Number
fortra77/kap04/pivot.for
F 4.9 The Matrix Inverse via Exchange Steps
fortra77/kap04/postit.for
F 4.15.4 Iterative Refinement
fortra77/kap04/shouse.for
F 4.14 Solving Linear Systems via Householder Transformations
fortra77/kap04/trdig.for
F 4.10.1 Systems with Tridiagonal Matrices
fortra77/kap04/trdnpd.for
fortra77/kap04/trdsy.for
F 4.10.2 Systems with Trid. Symm. Strongly Nonsing. Matrices
fortra77/kap05/adsor.for
F 5 Iterative Methods for Linear Systems
F 5.4 The Gauß-Seidel Iteration
fortra77/kap06/brown.for
F 6.2.4 Brown's Method for Nonlinear Systems
fortra77/kap06/fenorm.for
fortra77/kap06/jacobi.for
fortra77/kap06/nlesys.for
fortra77/kap06/smnewd.for
F 6 Systems of Nonlinear Equations
F 6.2.1.2 Damped Newton Method for Systems
fortra77/kap06/smnewt.for
fortra77/kap07/eigen.for
F 7.8 QR Algorithm
fortra77/kap07/eigval.for
F 7 Eigenvalues and Eigenvectors of Matrices
F 7.3.1 Vector Iteration for the Dominant Eigenvalue
fortra77/kap08/fdicht.for
fortra77/kap08/ffako.for
fortra77/kap08/ffakon.for
fortra77/kap08/fft.for
fortra77/kap08/fftb.for
fortra77/kap08/fourn.for
fortra77/kap08/gadesm.for
F 8 Linear and Nonlinear Approximation
F 8.1.3.1 Normal Equations for Discrete Linear Least Squares
fortra77/kap08/polfit.for
F 8.1.3.2 Discrete Least Squares using Orthogonal Polynomials
fortra77/kap08/rfft.for
F 8.1.5.3 Complex Discrete Fourier Transformation
fortra77/kap08/senorm.for
fortra77/kap08/slfit.for
F 8.1.3.4 Householder Transformation for Linear Least Squares
fortra77/kap08/slpre.for
fortra77/kap08/snlfit.for
F 8.2.2 Nonlinear Root-Mean-Square Fitting
fortra77/kap08/snlpre.for
fortra77/kap09/newtip.for
F 9 Polynomial and Rational Interpolation
F 9.5.1 Newton Formula for Arbitrary Nodes
fortra77/kap09/ralgip.for
F 9.7 Rational Interpolation
fortra77/kap09/shpflg.for
fortra77/kap09/shpglo.for
F 9.8.2 Shepard Interpolation
fortra77/kap09/shplok.for
fortra77/kap10/hermit.for
F 10.2.2 Non-Parametric Hermite Splines
fortra77/kap10/hmtab.for
fortra77/kap10/ispl1d.for
fortra77/kap10/ispl2d.for
fortra77/kap10/ispl3d.for
fortra77/kap10/isplnk.for
fortra77/kap10/isplnp.for
F 10 Interpolating Polynomial Splines
F 10.1.2 Non-Parametric Cubic Splines
fortra77/kap10/isplpa.for
F 10.1.3 Parametric Cubic Splines
fortra77/kap10/isplpe.for
fortra77/kap10/ispltr.for
fortra77/kap10/parmit.for
F 10.2.3 Parametric Hermite Splines
fortra77/kap10/pmtab.for
fortra77/kap10/psppv.for
fortra77/kap10/psptab.for
fortra77/kap10/pspval.for
fortra77/kap10/sptab.for
fortra77/kap10/spval.for
fortra77/kap10/tsptab.for
fortra77/kap10/tspval.for
fortra77/kap11/cfsp1d.for
fortra77/kap11/cfsp2d.for
fortra77/kap11/cfsp3d.for
fortra77/kap11/cfspnp.for
F 11 Polynomial Fitting Splines
F 11.3 Non-Parametric Cubic Fitting Splines
fortra77/kap11/cfsppa.for
F 11.4 Parametric Cubic Fitting Splines
fortra77/kap11/cfsppe.for
fortra77/kap11/cfsptr.for
fortra77/kap11/ncyfsy.for
fortra77/kap12/bezier.for
F 12.3.3 Bézier Spline Surfaces
fortra77/kap12/bicsp1.for
F 12 Two-Dim., Bézier, Surface, B-Splines
F 12.1 Interpolating Two-Dimensional Cubic Splines
fortra77/kap12/bicsp2.for
fortra77/kap12/bicsp3.for
fortra77/kap12/bsplfl.for
F 12.4.2 B-Spline Surfaces
fortra77/kap12/bspval.for
fortra77/kap12/calcp.for
fortra77/kap12/calcvp.for
fortra77/kap12/calcwp.for
fortra77/kap12/cepspm.for
fortra77/kap12/cubbez.for
F 12.3.1 Bézier Spline Curves
fortra77/kap12/curvp.for
F 12.4.1 B-Spline Curves
fortra77/kap12/curvpg.for
fortra77/kap12/deboor.for
fortra77/kap12/knotvg.for
fortra77/kap12/knotvo.for
fortra77/kap12/mocube.for
F 12.3.3 Modified (Interpolating) Cubic Bézier Splines
fortra77/kap12/pr2tra.for
fortra77/kap12/pr3tra.for
fortra77/kap12/prob2.for
F 12.2 Two-Dimensional Interpolating Surface Splines
fortra77/kap12/prob3.for
fortra77/kap12/sesspm.for
fortra77/kap12/zspmok.for
fortra77/kap13/akima1.for
F 13 Akima and Renner Subsplines
F 13.1 Akima Subsplines
fortra77/kap13/akima2.for
fortra77/kap13/renn2d.for
F 13.2 Renner Subsplines
fortra77/kap13/renn3d.for
fortra77/kap14/difrom.for
F 14.4 Differentiation by the Romberg Method
fortra77/kap14/pspana.for
fortra77/kap14/splfvd.for
F 14 Numerical Differentiation
F 14.3 Differentiation by Using Interpolating Polynomials
fortra77/kap14/tspana.for
fortra77/kap15/ccferr.for
F 15.9 Clenshaw-Curtis Quadrature Formulas
fortra77/kap15/clensh.for
fortra77/kap15/gale0.for
fortra77/kap15/gax.for
F 15.12 Adaptive Quadrature Methods
fortra77/kap15/ortogp.for
F 15.7 Gauß Quadrature Formulas
fortra77/kap15/quanec.for
F 15 Numerical Integration
F 15.3 Newton-Cotes Formulas
fortra77/kap15/quarom.for
F 15.10 Romberg Integration
fortra77/kap15/wgknot.for
fortra77/kap16/fibic2.for
fortra77/kap16/fibicu.for
F 16.8 Riemann Double Integrals using Bicubic Splines
fortra77/kap16/k3gaun.for
F 16.7 Gauß Cubature Formulas for Triangles
fortra77/kap16/k3nec3.for
F 16.4 Newton-Cotes Cubature Formulas for Triangles
fortra77/kap16/k3rori.for
fortra77/kap16/k4buri.for
F 16.5 Romberg Cubature for Rectangles and Triangles
fortra77/kap16/k4gaue.for
F 16.6 Gauß Cubature Formulas for Rectangles
fortra77/kap16/k4gauv.for
fortra77/kap16/k4necn.for
F 16 Numerical Cubature
F 16.3 Newton-Cotes Cubature Formulas for Rectangles
fortra77/kap16/k4rori.for
fortra77/kap17/civps.for
fortra77/kap17/coeffi.for
fortra77/kap17/deqssp.for
F 17 Initial Value Problems
F 17.3 One-Step Methods
fortra77/kap17/desabm.for
F 17.4.3 The Predictor-Corrector Method of Adams-Moulton
fortra77/kap17/desext.for
F 17.5 Bulirsch-Stoer-Gragg Extrapolation
fortra77/kap17/dmprec.for
fortra77/kap17/frkfsy.for
fortra77/kap17/gear4.for
F 17.7.3 Gear's method for integrating stiff systems of DEs
fortra77/kap17/hiha5.for
fortra77/kap17/hstart.for
fortra77/kap17/hull.for
fortra77/kap17/imruku.for
fortra77/kap17/irkcoe.for
fortra77/kap17/irkdrv.for
F 17.3.5 Implicit Runge-Kutta Methods of Gaussian Type
fortra77/kap17/ivp.for
F 17.3.7.2 Adaptive Methods for Initial Value Problems
fortra77/kap17/rk546m.for
fortra77/kap17/rk547c.for
fortra77/kap17/rk547m.for
fortra77/kap17/rk547s.for
fortra77/kap17/rk658c.for
fortra77/kap17/rk658m.for
fortra77/kap17/rk658s.for
fortra77/kap17/rk8713.for
fortra77/kap17/rkc65.for
fortra77/kap17/rke54.for
fortra77/kap17/rkf43.for
fortra77/kap17/rkf54.for
fortra77/kap17/rkf65a.for
fortra77/kap17/rkf65b.for
fortra77/kap17/rkf87.for
fortra77/kap17/rkstep.for
fortra77/kap17/rktrb.for
F 17.3.4.4 Embedding Formulas
fortra77/kap17/rkv65.for
fortra77/kap17/rkv65a.for
fortra77/kap17/rkv65b.for
fortra77/kap17/rkv76.for
fortra77/kap17/rkv87.for
fortra77/kap17/rkv98.for
fortra77/kap17/step32.for
fortra77/kap17/vmnorm.for
fortra77/kap18/bvp.for
F 18 Boundary Value Problems
F 18.2 Reduct. of Boundary Value Problems to Initial Value Pr.