Numerical Analysis

IndexSymbols Chart Wizard in Excel 2-10, 8-6 differential equationChebyshev polynomials classification of 5-2% (percent) symbol in MATLAB 1-2 of the first kind 15-21 degree of 5-3%d in MATLAB 2-21 of the second kind 15-21 most general solution 5-6%e in MATLAB 2-21 Cholesky factorization 14-15 order of 5-2%s in MATLAB 2-21 clc MATLAB command 1-2 numerical solution by the%u in MATLAB 2-21 clear MATLAB coommand 1-2 Runge-Kutta method 9-5=IF in Excel 2-24 cofactor - see matrix type of 5-2collect(s) MATLAB function 12-11 dipole 15-12A column vector 1-18 direct term in MATLAB 12-1command screen in MATLAB 1-1 disp(x) MATLAB command 2-5abs(z) MATLAB function 1-22 command window in MATLAB 1-1 display formats in MATLAB 1-29absolute cell in Excel 2-19 commas in MATLAB 1-6 divided difference 7-1absolutely convergent function 15-10 comment line in MATLAB 1-2 division in MATLABAdd Trendline feature in Excel 8-5 complex element-by-element 1-20adjoint of a matrix - see matrix conjugate of a matrix - see matrix division of phasors 3-12alternating currents 3-1 conjugate of a number 1-4, 3-12 dot multiplication in MATLAB 1-20angle(z) MATLAB function 1-22 number 1-2, 3-11 dsolve(s) MATLAB function 9-5angular velocity 3-2 roots of characteristic equation 5-9 dynamic programming 16-4antidifference 7-11 conformable optimum path policy 16-5approximations with Excel 2-7 for addition - see matrixAutoFill feature in Excel feature 2-9 for multiplication - see matrix Eaxis([xmin xmax ymin ymax]) conj(x) MATLAB function 4-8MATLAB command 1-21 conjugate of a complex number 3-12 editor window in MATLAB 1-1constraints - see linear programming editor/debugger in MATLAB 1-1B contour MATLAB function 1-16 eigenvalues 5-30conv(a,b) MATLAB function 1-6 eigenvector 5-38Bairstow’s method 2-17 Cramer’s rule 4-16, 8-4 elements of a matrix - see matrixBessel functions cubic interpolarion - see interpolation eps MATLAB function 1-21defined 15-1 cubic spline interpolarion - see interpolation Erlang distribution 13-16modified 15-7 curve fitting 8-1 error function 10-4of order n 15-1 curved regression - see regression Euler’s identities 3-13of negative order n 15-2 cycle 3-2 even functions 6-7of the first kind 15-6 cyclic frequency - see frequency even symmetry - see Fourier seriesof the second kind 15-6 exit MATLAB command 1-2besselj(n,x) MATLAB function 15-3 D EXP(GAMMALN(n)) Excel function 13-5BESSELJ(x,n) Excel function 15-3 expand(s) MATLAB function 7-12, 12-9beta distribution 13-20 decibel 1-11 exponential form of phasors - see phasorbeta function 13-17 decimal format in MATLAB 2-21 exponential form of the Fourier seriesbeta(m,n) MATLAB function 13-19 deconv(p,q) MATLAB function 1-6, 7-8 see Fourier seriesBETADIST Excel function 13-20 default in MATLAB exponentiation in MATLABBisection method color 1-14 element-by-element 1-20for root approximation 2-19 line 1-14 eye(n) MATLAB command 4-6, 14-16box MATLAB command 1-11 marker 1-14 eye(size(A)) MATLAB command 4-7demo in MATLAB 1-2C determinant - see matrix Fdiag(v,k) MATLAB function 14-16Casorati’s determinant 11-2 diagonal elements - see matrix factor(p) MATLAB function 12-4Cayley-Hamilton theorem 5-30 diagonal of a matrix - see matrix factorial polynomials 7-6characteristic equation diff(s) MATLAB function 2-6 Fibonacci numbers 11-7of a differential equation 5-8 difference equation 11-1 figure window in MATLAB 1-13of a difference equation 11-3 difference operator 7-4, 11-1 finite differences 7-1Chart type in Excel 2-10 differences 7-3 fixed point format in MATLAB 2-21