kincaid-cheney

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file	elimit.f
for	Example of a slowly converging sequence
ref	text 10

file	sqrt2.f
for	Example of a rapidly converging sequence
ref	text 10

file	nest.f
for	Nested multiplication
ref	text 14

file	epsi.f
for	Approximate value of machine precision
ref	text 36

file	depsi.f
for	Approximate value of double precision machine precision
ref	text 36

file	ex2s22.f
for	Loss of significance
ref	text 43-44

file	unstab1.f
for	Example of an unstable sequence
ref	text 49

file	unstab2.f
for	Example of another unstable sequence
ref	text 50

file	instab.f
for	Example of numerical instability
ref	text 50

file	ex1s31.f
for	Bisection method to find root of exp(x) = sinx   (bisect)
ref	text 58-59

file	ex1s32.f
for	Newton's method example
ref	text 65

file	ex2s32.f
for	Simple Newton's method
ref	text 68

file	ex3s32.f
for	Implicit function example
ref	text 69-70

file	ex1s33.f
for	Secant method example   (f )
ref	text 76

file	ex3s34.f
for	Contractive mapping example
ref	text 83-84

file	ex3s35.f
for	Horner's method example
ref	text 93

file	ex6s35.f
for	Newton's method on a given polynomial   (horner)
ref	text 94

file	ex7s35.f
for	Bairstow's method example
ref	text 99

file	laguerre.f
for	Laguerre's method example
ref	text 102

file	forsub.f
for	Forward substitution example
ref	text 127

file	bacsub.f
for	Backward substitution example
ref	text 127

file	pforsub.f
for	Forward substitution for a permuted system
ref	text 128

file	pbacsub.f
for	Backward substitution for a permuted system
ref	text 128

file	genlu.f
for	General LU-factorization example
ref	text 130

file	doolt.f
for	Doolittle's-factorization example
ref	text 131

file	cholsky.f
for	Cholesky-factorization example
ref	text 134

file	bgauss.f
for	Basic Gaussian elimination
ref	text 143

file	pbgauss.f
for	Basic Gaussian elimination with pivoting
ref	text 145

file	gauss.f
for	Gaussian elimination with scaled row pivoting
ref	text 148

file	paxeb.f
for	Solves Lz = Pb and then Ux = z   (gauss)
ref	text 150

file	yaec.f
for	Solves UT z = c and then LTPy = z   (gauss)
ref	text 151

file	tri.f
for	Tridiagonal system solver   (tri)
ref	text 155

file	ex1s45.f
for	Neumann series example   (setI, mult, store, add, prt)
ref	text 173

file	ex2s45.f
for	Gaussian elimination followed by iterative improvement (residual, gauss, solve)
ref	text 175

file	ex1s46.f
for	Example of Jacobi and Gauss-Seidel methods
ref	text 182

file	ex2s46.f
for	Richardson method example (with scaling)
ref	text 184

file	jacobi.f
for	Jacobi method example (with scaling)
ref	text 186

file	ex3s46.f
for	Gauss-Seidel method (with scaling)
ref	text 190

file	ex6s46.f
for	Chebyshev acceleration example   (extrap, cheb, vnorm)
ref	text 200

file	steepd.f
for	Steepest descent method example   (prod, mult)
ref	text 207

file	cg.f
for	Conjugate gradient method   (prod, residual, mult)
ref	text 211

file	pcg.f
for	Jacobi preconditioned conjugate gradient method (prod, residual, mult)
ref	text 217

file	ex1s51.f
for	Power method example   (dot, prod, store, norm, normal)
ref	text 231

file	poweracc.f
for	Power method with Aitken acceleration (dot, prod, store, norm, normal)
ref	text 231

file	ex2s51.f
for	Inverse power method example (gauss, dot, prod, store, norm, normal, solve)
ref	text 233

file	ipoweracc.f
for	Inverse power method with Aitken acceleration (gauss, dot, prod, store, norm, normal, solve)
ref	text 233

file	ex1s52.f
for	Schur factorization example   (prtmtx, mult)
ref	text 239

file	qrshif.f
for	Modified Gram-Schmidt example   (prtmtx, mgs, mult)
ref	text 248

file	ex1s53.f
for	QR-factorization using Householder transformations (QRfac, setoI, prtmtx, UtimesA, findV, prod, formU, formW, trans, mult)
ref	text 253-255

file	ex2s55.f
for	QR-factorization example (QRfac, setoI, prtmtx, UtimesA, findV, prod, formU, formW, trans, mult, copy, scale)
ref	text 272-273

file	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	coef.f
for	Coefficients in the Newton form of a polynomial
ref	text 280-281

file	fft.f
for	Fast Fourier transform example   (f )
ref	text 419

file	adapta.f
for	Adaptive approximation example   (f, max)
ref	text 426-428

file	ex1s71.f
for	Derivative approximations: forward difference formula
ref	text 431-432

file	ex2s71.f
for	Derivative approximation: central difference
ref	text 434

file	ex5s71.f
for	Derivative approximation: Richardson extrapolation
ref	text 437-438

file	ex6s71.f
for	Richardson extrapolation
ref	text 440-441

file	gauss5.f
for	Gaussian five-point quadrature example
ref	text 459

file	romberg.f
for	Romberg extrapolation
ref	text 468

file	adapt.f
for	Adaptive quadrature
ref	text 475

file	taylor.f
for	Taylor-series method
ref	text 492

file	rk4.f
for	Runge-Kutta method   (f, u)
ref	text 501-502

file	rkfelberg.f
for	Runge-Kutta-Fehlberg method   (f )
ref	text 503-505

file	taysys.f
for	Taylor series for systems
ref	text 526-527

file	exs91.f
for	Boundary value problem (BVP): Explicit method example (a, b, vnorm)
ref	text 576

file	exs92.f
for	BVP: Implicit method example   (tri, unorm)
ref	text 582

file	exs93.f
for	Finite difference method   (g )
ref	text 589

file	ex3s96.f
for	BVP: Method of characteristics   (f, g, df, tu)
ref	text 613

file	mgrid1.f
for	Multigrid method example   (vnorm)
ref	text 624

file	exs98.f
for	Damping of errors
ref	text 625

file	mgrid2.f
for	Multigrid method V-cycle   (vnorm)
ref	text 630

file	code-info.tex
for	introduction

file	code-info.tty
for	introduction

file	shar
for	entire library

file	changes