Numerical Methods Using MATLAB.Prentice Hall, 1999 - 662 páginas This text provides an introduction to numerical analysis for either a single term course or a year long sequence. It is suitable for undergraduate students in mathematics, science, and engineering. Ample material is presented so that instructors will be able to select topics appropriate to their needs. |
Contenido
The Solution of Nonlinear Equations | 40 |
The Solution of Linear Systems AX B | 101 |
Interpolation and Polynomial | 186 |
Derechos de autor | |
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Términos y frases comunes
a₁ abscissas accuracy Algorithms and Programs approximation Boole's rule boundary values c₁ calculations coefficients column compute converges cos(x cubic spline curve d₁ decimal places derivatives determine diagonal differential equations digits eigenpair eigenvalues eigenvector error bound error term Euler's method evaluations Example Exercises fixed point fixed-point iteration formula function f function values Gaussian elimination given graph grid Heun's method initial Input integral interpolation interval Lagrange Lagrange polynomial least-squares linear system MATLAB matrix method of order multiplication Newton polynomial Newton-Raphson Newton's method nodes x0 O(h² obtain p₁ P₁(x Pk+1 polynomial of degree quadrature real number result root Runge-Kutta method secant method sequence Show shown in Figure Simpson's rule sin(x solution solve step size h subintervals substitution Suppose Table Taylor polynomial Theorem trapezoidal rule upper-triangular value problem variables vector x₁ Xk Yk xk+1 Yk+1 zero