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
size	143 kilobytes
