s1=newton(x^2-10,2*x,3,1e-14)
{??? Undefined function or variable 'x'.
} 
s1=newton('x^2-10','2*x',3,1e-14)

s1 =

    3.0000
    3.1667
    3.1623
    3.1623
    3.1623

format long g
s1

s1 =

                         3
          3.16666666666667
          3.16228070175439
          3.16227766016984
          3.16227766016838

s2=newton('x^3+4*x^2-10','3*x^2+8*x',1,1e-14)

s2 =

                         1
          1.45454545454545
          1.36890040106952
          1.36523660020212
          1.36523001343537
           1.3652300134141

s3=newton('exp(x)-tan(x)','exp(x)-(sec(x))^2',-4,1e-14)

s3 =

                        -4
         -3.49353222947037
         -3.13351894660936
         -3.09641459850047
         -3.09641230491352
         -3.09641230491364

s4=newton2('exp(x)-tan(x)','exp(x)-(sec(x))^2',-4,1e-14)

s4 =

                        -4
         -3.49353222947037
         -3.13351894660936
         -3.09641459850047
         -3.09641230491352
         -3.09641230491364
         -3.09641230491364

fzero(@(x) x^2-10, 3)

ans =

          3.16227766016838

fzero(@(x) x^3 + 4*x^2 -10, 1)

ans =

           1.3652300134141

H=[.919 .175 0; .06 .825 .049; .021 0 .951];

x=[100000; 70000; 30000]

x =

      100000
       70000
       30000

H*x

ans =

      104150
       65220
       30630

H*ans

ans =

                 107127.35
                  61556.37
                  31316.28

H*ans

ans =

               109222.3994
               58746.14397
               32031.45663


H*ans

ans =

           110655.96024335
            56588.45411412
            32755.58564253


transmat1

x =

          109656.068283714
          49317.3395585203
          41026.5921577655


transmat1

ans =

  Column 1

          111381.428643817
          49833.8949287744
          38784.6764274081

  Column 2

          111080.464536204
           49696.298179811
          39223.2372839853

  Column 3

          110779.799090238
          49586.2124974315
          39633.9884123303

  Column 4

          110484.222550979
          49497.4786879995
          40018.2987610211

  Column 5

           110197.05929475
          49425.3699099484
          40377.5707953016

  Column 6

          109920.537226116
          49366.2547023622
          40713.2080715216


transmat1

ans =

  Column 1

          105761.057260542
          48944.0760071557
          45294.8667323022

  Column 2

           105759.62492369
          48943.9746114188
          45296.4004648908

  Column 3

           105758.29086187
          48943.8801726215
          45297.8289655087

  Column 4

          105757.048332267
          48943.7922134349
           45299.159454298

  Column 5

          105755.891054705
          48943.7102892804
           45300.398656015

  Column 6

          105754.813179898
          48943.6339860833
          45301.5528340191