/netlib/kincaid-cheney

• file: kincaid-cheney/elimit.f
  for: Example of a slowly converging sequence
• ref: text 10
• file: kincaid-cheney/sqrt2.f
  for: Example of a rapidly converging sequence
• ref: text 10
• file: kincaid-cheney/nest.f
  for: Nested multiplication
• ref: text 14
• file: kincaid-cheney/epsi.f
  for: Approximate value of machine precision
• ref: text 36
• file: kincaid-cheney/depsi.f
  for: Approximate value of double precision machine precision
• ref: text 36
• file: kincaid-cheney/ex2s22.f
  for: Loss of significance
• ref: text 43-44
• file: kincaid-cheney/unstab1.f
  for: Example of an unstable sequence
• ref: text 49
• file: kincaid-cheney/unstab2.f
  for: Example of another unstable sequence
• ref: text 50
• file: kincaid-cheney/instab.f
  for: Example of numerical instability
• ref: text 50
• file: kincaid-cheney/ex1s31.f
  for: Bisection method to find root of exp(x) = sinx (bisect)
• ref: text 58-59
• file: kincaid-cheney/ex1s32.f
  for: Newton's method example
• ref: text 65
• file: kincaid-cheney/ex2s32.f
  for: Simple Newton's method
• ref: text 68
• file: kincaid-cheney/ex3s32.f
  for: Implicit function example
• ref: text 69-70
• file: kincaid-cheney/ex1s33.f
  for: Secant method example (f )
• ref: text 76
• file: kincaid-cheney/ex3s34.f
  for: Contractive mapping example
• ref: text 83-84
• file: kincaid-cheney/ex3s35.f
  for: Horner's method example
• ref: text 93
• file: kincaid-cheney/ex6s35.f
  for: Newton's method on a given polynomial (horner)
• ref: text 94
• file: kincaid-cheney/ex7s35.f
  for: Bairstow's method example
• ref: text 99
• file: kincaid-cheney/laguerre.f
  for: Laguerre's method example
• ref: text 102
• file: kincaid-cheney/forsub.f
  for: Forward substitution example
• ref: text 127
• file: kincaid-cheney/bacsub.f
  for: Backward substitution example
• ref: text 127
• file: kincaid-cheney/pforsub.f
  for: Forward substitution for a permuted system
• ref: text 128
• file: kincaid-cheney/pbacsub.f
  for: Backward substitution for a permuted system
• ref: text 128
• file: kincaid-cheney/genlu.f
  for: General LU-factorization example
• ref: text 130
• file: kincaid-cheney/doolt.f
  for: Doolittle's-factorization example
• ref: text 131
• file: kincaid-cheney/cholsky.f
  for: Cholesky-factorization example
• ref: text 134
• file: kincaid-cheney/bgauss.f
  for: Basic Gaussian elimination
• ref: text 143
• file: kincaid-cheney/pbgauss.f
  for: Basic Gaussian elimination with pivoting
• ref: text 145
• file: kincaid-cheney/gauss.f
  for: Gaussian elimination with scaled row pivoting
• ref: text 148
• file: kincaid-cheney/paxeb.f
  for: Solves Lz = Pb and then Ux = z (gauss)
• ref: text 150
• file: kincaid-cheney/yaec.f
  for: Solves UT z = c and then LTPy = z (gauss)
• ref: text 151
• file: kincaid-cheney/tri.f
  for: Tridiagonal system solver (tri)
• ref: text 155
• file: kincaid-cheney/ex1s45.f
  for: Neumann series example (setI, mult, store, add, prt)
• ref: text 173
• file: kincaid-cheney/ex2s45.f
  for: Gaussian elimination followed by iterative improvement (residual, gauss, solve)
• ref: text 175
• file: kincaid-cheney/ex1s46.f
  for: Example of Jacobi and Gauss-Seidel methods
• ref: text 182
• file: kincaid-cheney/ex2s46.f
  for: Richardson method example (with scaling)
• ref: text 184
• file: kincaid-cheney/jacobi.f
  for: Jacobi method example (with scaling)
• ref: text 186
• file: kincaid-cheney/ex3s46.f
  for: Gauss-Seidel method (with scaling)
• ref: text 190
• file: kincaid-cheney/ex6s46.f
  for: Chebyshev acceleration example (extrap, cheb, vnorm)
• ref: text 200
• file: kincaid-cheney/steepd.f
  for: Steepest descent method example (prod, mult)
• ref: text 207
• file: kincaid-cheney/cg.f
  for: Conjugate gradient method (prod, residual, mult)
• ref: text 211
• file: kincaid-cheney/pcg.f
  for: Jacobi preconditioned conjugate gradient method (prod, residual, mult)
• ref: text 217
• file: kincaid-cheney/ex1s51.f
  for: Power method example (dot, prod, store, norm, normal)
• ref: text 231
• file: kincaid-cheney/poweracc.f
  for: Power method with Aitken acceleration (dot, prod, store, norm, normal)
• ref: text 231
• file: kincaid-cheney/ex2s51.f
  for: Inverse power method example (gauss, dot, prod, store, norm, normal, solve)
• ref: text 233
• file: kincaid-cheney/ipoweracc.f
  for: Inverse power method with Aitken acceleration (gauss, dot, prod, store, norm, normal, solve)
• ref: text 233
• file: kincaid-cheney/ex1s52.f
  for: Schur factorization example (prtmtx, mult)
• ref: text 239
• file: kincaid-cheney/qrshif.f
  for: Modified Gram-Schmidt example (prtmtx, mgs, mult)
• ref: text 248
• file: kincaid-cheney/ex1s53.f
  for: QR-factorization using Householder transformations (QRfac, setoI, prtmtx, UtimesA, findV, prod, formU, formW, trans, mult)
• ref: text 253-255
• file: kincaid-cheney/ex2s55.f
  for: QR-factorization example (QRfac, setoI, prtmtx, UtimesA, findV, prod, formU, formW, trans, mult, copy, scale)
• ref: text 272-273
• file: kincaid-cheney/ex3s55.f
  for: Shifted QR-factorization example (submtx, shiftA, unshiftA, hess, QRfac, setoI, prtmtx, UtimesA, findU, findV, prod, formU, formW, Trans, mult, copy, scale)
• ref: text 274
• file: kincaid-cheney/coef.f
  for: Coefficients in the Newton form of a polynomial
• ref: text 280-281
• file: kincaid-cheney/fft.f
  for: Fast Fourier transform example (f )
• ref: text 419
• file: kincaid-cheney/adapta.f
  for: Adaptive approximation example (f, max)
• ref: text 426-428
• file: kincaid-cheney/ex1s71.f
  for: Derivative approximations: forward difference formula
• ref: text 431-432
• file: kincaid-cheney/ex2s71.f
  for: Derivative approximation: central difference
• ref: text 434
• file: kincaid-cheney/ex5s71.f
  for: Derivative approximation: Richardson extrapolation
• ref: text 437-438
• file: kincaid-cheney/ex6s71.f
  for: Richardson extrapolation
• ref: text 440-441
• file: kincaid-cheney/gauss5.f
  for: Gaussian five-point quadrature example
• ref: text 459
• file: kincaid-cheney/romberg.f
  for: Romberg extrapolation
• ref: text 468
• file: kincaid-cheney/adapt.f
  for: Adaptive quadrature
• ref: text 475
• file: kincaid-cheney/taylor.f
  for: Taylor-series method
• ref: text 492
• file: kincaid-cheney/rk4.f
  for: Runge-Kutta method (f, u)
• ref: text 501-502
• file: kincaid-cheney/rkfelberg.f
  for: Runge-Kutta-Fehlberg method (f )
• ref: text 503-505
• file: kincaid-cheney/taysys.f
  for: Taylor series for systems
• ref: text 526-527
• file: kincaid-cheney/exs91.f
  for: Boundary value problem (BVP): Explicit method example (a, b, vnorm)
• ref: text 576
• file: kincaid-cheney/exs92.f
  for: BVP: Implicit method example (tri, unorm)
• ref: text 582
• file: kincaid-cheney/exs93.f
  for: Finite difference method (g )
• ref: text 589
• file: kincaid-cheney/ex3s96.f
  for: BVP: Method of characteristics (f, g, df, tu)
• ref: text 613
• file: kincaid-cheney/mgrid1.f
  for: Multigrid method example (vnorm)
• ref: text 624
• file: kincaid-cheney/exs98.f
  for: Damping of errors
• ref: text 625
• file: kincaid-cheney/mgrid2.f
  for: Multigrid method V-cycle (vnorm)
• ref: text 630
• file: kincaid-cheney/code-info.tex
  for: introduction
• file: kincaid-cheney/code-info.tty
  for: introduction
• file: kincaid-cheney/shar
  for: entire library
• file: kincaid-cheney/changes

• index help

Eric and Jack

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