By Cesar Perez Lopez
Programming MATLAB for Numerical research introduces you to the MATLAB language with useful hands-on directions and effects, permitting you to quick in attaining your ambitions. you'll first get to grips with the MATLAB atmosphere, after which you'll start to harness the facility of MATLAB. you'll examine the MATLAB language, beginning with an creation to variables, and the way to control numbers, vectors, matrices, arrays and personality strings. you are going to know about MATLAB's high-precision services, and the way you should use MATLAB to unravel difficulties, utilising mathematics, relational and logical operators together with the typical capabilities and operations of actual and intricate research and linear algebra.
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Extra info for MATLAB Programming for Numerical Analysis
For example, the following calculates 6^400 to 450 significant figures: >> '6 vpa ^ 400' 450 ans = 182179771682187282513946871240893712673389715281747606674596975493339599720905327003028267800766283 867331479599455916367452421574456059646801054954062150177042349998869907885947439947961712484067309 738073652485056311556920850878594283008099992731076250733948404739350551934565743979678824151197232 629947748581376. info Chapter 2 ■ MATLAB Language: Variables, Numbers, Operators and Functions The result of the operation is precise, always displaying a point at the end of the result.
Max (V) The maximum component of V. (max is calculated for complex vectors as the complex number with the largest complex modulus (magnitude), computed with max(abs(V)). ) min (V) The minimum component of V. (min is calculated for complex vectors as the complex number with the smallest complex modulus (magnitude), computed with min(abs(A)). ) mean (V) Average of the components of V. median (V) Median of the components of V. std (V) Standard deviation of the components of V. sort (V) Sorts the components of V in ascending order.
100 ^ 50 ans = 1. 0000e + 100 Unlike a calculator, when working with integers, MATLAB displays the full result even when there are more digits than would normally fit across the screen. For example, MATLAB returns the following value of 99 ^ 50 when using the vpa function (here to the default accuracy of 32 significant figures). >> vpa '99 ^ 50' ans = . 60500606713753665044791996801256e100 To combine several operations in the same instruction one must take into account the usual priority criteria among them, which determine the order of evaluation of the expression.