These are examples from the text Fundamentals of Numerical Computation, by Driscoll and Braun, 1st edition (2017). To use these functions, Right-click the MATLAB links and download to your MATLAB file directory. [mlx - Live Editor, vs m-file] Click the Sections Numbers to show static webpage.

Chapter 1: Numbers, problems, and algorithms
     Combined files: NumAnal01.mlx, NumAnal01.m, NumAnal01.pdf

• 1.1.2 (accuracy.mlx, accuracy.m)
• 1.1.3 (arithmetic.mlx, artithmetic.m)
• 1.3.2 (hornereval.mlx, hornereval.m)
• 1.3.3 (quadunstable.mlx, quadunstable.m)
• 1.3.4 (quadstable.mlx, quadstable.m)
• 1.3.5 (polyroots.mlx, polyroots.m)

Chapter 2: Square linear systems:
     Combined files: NumAnal02.mlx, NumAnal02.m, NumAnal02.pdf

• 2.1.1 (vanderinterp.mlx, vanderinterp.m)
• 2.2.1 (/matlabdemo.mlx, matlabdemo.m)
• 2.3.2 (backslash_solve.mlx, backslash_solve.m)
• 2.3.3 (triangularsolve.mlx, triangularsolve.m)
• 2.4.1 (gausselim.mlx, gausselim.m)
• 2.4.2 (gausselim_Lfactors.mlx, gausselim_Lfactors.m)
• 2.4.3 (lufactfun.mlx, lufactfun.m)
• 2.5.3 (flops_mvmult_numbers.mlx, flops_mvmult_numbers.m)
• 2.5.4 (flops_mvmult_graph.mlx, flops_mvmult_graph.m)
• 2.5.5 (flops_lufact.mlx, flops_lufact.m)
• 2.6.1 (pivotfail.mlx, pivotfail.m)
• 2.6.2 (pivotfix.mlx, pivotfix.m)
• 2.7.1 (vectornorms.mlx, vectornorms.m)
• 2.7.2 (matrixnorms.mlx, matrixnorms.m)
• 2.8.1 (condbound.mlx, condbound.m)
• 2.9.1 (banded.mlx, banded.m)
• 2.9.2 (bandedtiming.mlx, bandedtiming.m)
• 2.9.3 (symmetricLU.mlx, symmetricLU.m)
• 2.9.4 (cholesky.mlx, cholesky.m)

Chapter 3: Overdetermined linear systems
     Combined files: NumAnal03.mlx, NumAnal03.m, NumAnal03.pdf

• 3.1.1 (worldtempinterp.mlx, worldtempinterp.m)
• 3.1.2 (worldtempfit.mlx, worldtempfit.m)
• 3.1.3 (pirate.mlx, pirate.m)
• 3.2.1 (normalinstab.mlx, normalinstab.m)
• 3.3.1 (qrfact.mlx, qrfact.m)
• 3.4.1 (hhqrfact.mlx, hhqrfact.m)

Chapter 4: Roots of nonlinear equations
     Combined files: NumAnal04.mlx, NumAnal04.m, NumAnal04.pdf

• 4.1.1 (besselzeros.mlx, besselzeros.m)
• 4.1.2 (rootcondnum.mlx, rootcondnum.m)
• 4.2.1 (fpspiral.mlx, fpspiral.m)
• 4.2.3 (fpconverge.mlx, fpconverge.m)
• 4.3.1 (newtonline.mlx, newtonline.m)
• 4.3.2 (newtonconverge.mlx, newtonconverge.m)
• 4.3.3 (newtonusage.mlx, newtonusage.m)
• 4.4.1 (secantline.mlx, secantline.m)
• 4.4.2 (secantconverge.mlx, secantconverge.m)
• 4.4.3 (iqi.mlx, iqi.m)
• 4.5.2 (newtonsystem.mlx, newtonsystem.m)
• 4.5.3 (newtonsysusage.mlx, newtonsysusage.m)
• 4.6.1 (levenbergusage.mlx, levenbergusage.m)
• 4.7.1 (MMfit.mlx, MMfit.m)

Chapter 5: Piecewise interpolation
     Combined files: NumAnal05.mlx, NumAnal05.m, NumAnal05.pdf

• 5.1.1 (polyinterpbad.mlx polyinterpbad.m)
• 5.1.3 (ppinterp.mlx, ppinterp.m)
• 5.1.4 (polyinterpcond.mlx, polyinterpcond.m)
• 5.2.1 (hatfunctions.mlx, hatfunctions.m )
• 5.2.2 (plgraph.mlx, plgraph.m)
• 5.2.3 (plconverge.mlx, plconverge.m)
• 5.3.1 (cubicspline.mlx, cubicspline.m)
• 5.4.2 (fornberg.mlx, fornberg.m)
• 5.5.2 (fdconverge1.mlx, fdconverge1.m)
• 5.5.4 (fdconverge2.mlx, fdconverge2.m)
• 5.5.5 (fdroundoff.mlx, fdroundoff.m )
• 5.6.1 (antideriv.mlx, antideriv.m)
• 5.6.2 (quadtrap.mlx, quadtrap.m)
• 5.6.3 (quadextrap.mlx, quadextrap.m )
• 5.7.1 (twohalves.mlx, twohalves.m )
• 5.7.2 (adaptive.mlx, adaptive.m )

Chapter 6: Initial-value problems
     Combined files: NumAnal06.mlx, NumAnal06.m, NumAnal06.pdf

• 6.1.2 (logisticnum.mlx, logisticnum.m)
• 6.1.3 (denseoutput.mlx, denseoutput.m)
• 6.1.5 (basicivp.mlx, basicivp.m)
• 6.1.6 (conditioning.mlx, conditioning.m)
• 6.2.1 (eulerconverge.mlx, eulerconverge.m)
• 6.3.2 (matrixexponential.mlx, matrixexponential.m)
• 6.3.3 (predator.mlx, predator.m)
• 6.4.1 (rkconverge.mlx, rkconverge.m)
• 6.5.1 (rkadapt1.mlx, rkadapt1.m)
• 6.5.2 (rkadapt2.mlx, rkadapt2.m)
• 6.7.1 (ab4converge.mlx, ab4converge.m)
• 6.7.2 (stiffode.mlx, stiffode.m)
• 6.8.1 ( LIAF.mlx, LIAF.m)

Chapter 7: Matrix analysis
     Combinded files: NumAnal07.mlx, NumAnal07.m, NumAnal07.pdf, hello.png, voting.mat

• 7.1.4 (buckyplot.mlx, buckyplot.m)
• 7.1.5 (imreaddemo.mlx, imreaddemo.m)
• 7.2.1 (eigintro.mlx, eigintro.m)
• 7.2.2 (bauerfike.mlx, bauerfike.m)
• 7.2.3 (qriter.mlx, qriter.m)
• 7.3.2 (svdproperties.mlx, svdproperties.m)
• 7.4.1 (svdnormal.mlx, svdnormal.m)
• 7.4.2 (normalperturb.mlx, normalperturb.m)
• 7.4.3 (rayquo.mlx, rayquo.m)
• 7.5.1 (hellosvd.mlx, hellosvd.m, hello.png)
• 7.5.2 (voting.mlx, voting.m, voting.mat)