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Substantially revised and updated, Computer Methods for Engineering with MATLAB® Applications, Second Edition presents equations to describe engineering.
Table of contents

Sets of indices can be specified by expressions such as "", which evaluates to [2, 3, 4]. For example, a submatrix taken from rows 2 through 4 and columns 3 through 4 can be written as:. A square identity matrix of size n can be generated using the function eye , and matrices of any size with zeros or ones can be generated with the functions zeros and ones , respectively. Transposing a vector or a matrix is done either by the function transpose or by adding prime after a dot to the matrix. MATLAB does include standard "for" and "while" loops, but as in other similar applications such as R , using the vectorized notation often produces code that is faster to execute.

This code, excerpted from the function magic.

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Valid function names begin with an alphabetic character, and can contain letters, numbers, or underscores. Functions are often case sensitive. MATLAB supports elements of lambda calculus by introducing function handles, [18] or function references, which are implemented either in. MATLAB supports object-oriented programming including classes, inheritance, virtual dispatch, packages, pass-by-value semantics, and pass-by-reference semantics.

MATLAB has value classes and reference classes, depending on whether the class has handle as a super-class for reference classes or not for value classes.

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  4. Method call behavior is different between value and reference classes. For example, a call to a method.

    2nd Edition

    For example, the function plot can be used to produce a graph from two vectors x and y. The code:. Libraries written in Perl , Java , ActiveX or. Libraries also exist to import and export MathML. Each toolbox is purchased separately. If an evaluation license is requested, the MathWorks sales department requires detailed information about the project for which MATLAB is to be evaluated. It has been reported that European Union EU competition regulators are investigating whether MathWorks refused to sell licenses to a competitor.

    Among other languages that treat arrays as basic entities array programming languages are APL , Fortran 90 and higher, S-Lang , as well as the statistical languages R and S. For example, typing in "spy" used to generate a picture of the spies from Spy vs Spy , but now displays an image of a dog. Typing in "why" randomly outputs a philosophical answer.

    Other commands include "penny", "toilet", "image", and "life". From Wikipedia, the free encyclopedia. For the region in Bangladesh, see Matlab Bangladesh. L-shaped membrane logo [1]. Julia [4] Octave [5] Scilab [6]. See also: list of numerical analysis software and comparison of numerical analysis software. Retrieved February 7, Retrieved August 14, Computer History Museum. Retrieved December 6, Julia Language. Retrieved December 1, May 21, Texas-Wisconsin Modeling and Control Consortium. Retrieved April 15, Altius Directory. Retrieved December 17, Cleve's Corner. Retrieved December 20, Symbolic Math Toolbox.

    April 30, Dog Ear Publishing. Yale University, Computer Science Department. Successive Substitution Method 5. Other Methods 5. Muller's Method 5. Iterative Factorization of Polynomials 5. Graeffe's Method 5. Additional Methods 5. Summary Problems 6. Introduction 6.

    Gaussian Elimination 6. Basic Approach 6. Computational Procedure 6.

    Computer Methods for Engineering with MATLAB® Applications, Second Edition Series in Computational

    Solution Accuracy 6. III-Conditioned Set 6. Error Correction 6. Pivoting 6. Matrix Inversion and Determinant Evaluation 6. Tri-diagonal Systems 6. Gauss[—]Jordan Elimination 6. Mathematical Procedure 6. Computational Scheme 6. Compact Methods 6. Matrix Decomposition 6. Crout's Method 6.

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    Additional Considerations 6. Iterative Methods 6. Jacobi and Gauss[—]Seidel Methods 6. Convergence 6. Example 6.

    Engineering Problem Solving with MATLAB (MATLAB Curriculum Series)

    Relaxation Methods 6. Homogeneous Linear Equations 6. Eigenvalue Problem 6. Power Method 6. Largest Eigenvalue 6. Smallest Eigenvalue 6. Intermediate Eigenvalues 6. Other Methods 6. Solution of Simultaneous Nonlinear Equations 6. Newton[—]Raphson Method 6. Modified Jacobi and Gauss[—]Seidel Methods 6. Summary Problems 7.

    Introduction 7. Exact and Best Fit 7. Interpolation and Extrapolation 7. Basic Approach 7. Exact Fit and Interpolation 7. Exact Fit with an nth-Order Polynomial 7. Uniformly Spaced Independent Variable 7. Lagrange Interpolation 7. Newton's Divided-Difference Interpolating Polynomial 7. Genera] Formulas 7.

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    Uniformly Spaced Data 7. Extrapolation 7. Numerical Interpolation with Splines 7. Method of Least Squares for a Best Fit 7.