Page 518 - Applied Numerical Methods Using MATLAB
P. 518

INDEX FOR MATLAB ROUTINES  507
            /ode113()
            ode15s()/ode23s()  S6.5-4   solve (stiff) ODEs
            /ode23t()/ode23tb()
            ones()           S1.1-7     constructs an array of ones
            opt gs()         S7.1-1     optimization by Golden search
               −
            opt quad()       S7.1-2     optimization by quadratic approximation
               −
            opt Nelder()     S7.1-3     optimization by Nelder-Mead method
               −
            opt steep()      S7.1-4     optimization by steepest descent
               −
            opt conjg()      S7.1-6     optimization by Conjugate gradient method
               −
            padeap()         S3.4       Pade approximation
            pdetool          S9.4       start the PDE toolbox GUI (graphical user interface)
            pinv()           S1.1-7, 2.1  pseudo-inverse (generalized inverse)
            plot()           S1.1-4,5   linear 2-D plot
            plot3()          S1.1-5     linear 3-D plot
            poisson()        S9.1       central difference method for elliptic PDE (Poisson’s eq)
            polar()          S1.1-4     plot polar coordinates in a Cartesian plane with polar
                                          grid
            Poly der()       P1.11      derivative of polynomial
               −
            polyder()        P1.11      derivative of polynomial
            polyfit()         P3.13      polynomial curve fitting
            Polyfits()        S3.8-2     polynomial curve fitting
            polyint()        P1.11      integral of polynomial
            polyval()        S1.1-6, 3.8-2  evaluate a polynomial
            ppval()          P1.11      evaluate a set of piece-wise polynomials
            pretty()         P3.1, AG2  print symbolic expression like in type-set form
            prod()           S1.1-7     product of array elements
            qr()             S2.4-2     QR factorization
            qr hessenberg()  P8.6       QR factorization of Hessenberg form by Givens rotation
              −
            quad()           S5.8       numerical integration
            quadl()          S5.8       numerical integration
            quiver()         P6.0       plot gradient vectors
            quiver3()        P6.0       plot normal vectors on a surface
            rand()           S1.1-8     uniform random number generator
            randn()          S1.1-8     Gaussian random number generator
            rational interpolation() P3.6  rational polynomial interpolation
                  −
            repetition()     P1.14      repetition of subsequences
            reshape()        S1.1-7     a matrix into one with given numbers of row/columns
            residue()        P1.11      partial fraction expansion of Laplace-transformed
                                          function
            residuez()       P1.11      partial fraction expansion of z-transformed rational
                                          function
            rlse online()    S2.1-4     on-line Recursive Least-Squares Estimation
               −
            rmbrg()          S5.7       Integration by Romberg method
            robot path       P3.9       determine a path of robot using cubic splines
                −
            roots()          P1.11      roots of a polynomial equation
            round()          S1.1-5 (T1.3) round to nearest integer
            rot90()          S1.1-7     rotate a matrix by 90 degrees
            save             S1.1-2     save variable(s) into a file
            secant()         S4.5       secant method to solve a nonlinear equation
            semilogx()       S1.1-4     plot data as logarithmic scales for the x-axis
            semilogy()       S1.1-4     plot data as logarithmic scales for the y-axis
            size()           S1.1-7     the numbers of rows/columns of a 1-D/2-D/3-D array
            sim anl()        S7.1-7     optimization by simulated annealing (SA)
               −
   513   514   515   516   517   518   519   520