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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