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Built-in function for Differentiation:
The MATLAB has a built-in function, diff that returns the differences between consecutive elements in a vector. For illustration,
>> diff([4 7 15 32])
ans =
3 8 17
For a function y = f(x) here x is a vector, and the values of f '(x) can be approximated as diff(y) divided by diff(x). For illustration, the earlier equation can be written as an anonymous function.
>> f = @ (x) x .^ 3 + 2 .* x .^ 2 - 4 .* x + 3;
>> x = 1:3;
>> y = f(x)
y =
2 11 36
>> diff(y)
9 25
>> diff(x)
1 1
>> diff(y) ./ diff(x)
Function xlsread - file function: The function xlsread will read from the spreadsheet file. For illustration, to read from file just generated: >> ssnums = xlsread('ranexc
Referring to and Modifying the Matrix Elements: To refer to matrix elements, the row and then the column indices are given in parentheses (always the row index initially and t
If I have a vector representing the packed storage form of a symmetric matrix, how do I perform a cholesky factorisation on that?
Program of built-in factorial function: Calling this function yields similar result as the built-in factorial function: >> fact(5) ans = 120 >> factorial(
Illustration of logical built-in functions: The function find returns the indices of a vector which meet certain criteria. For illustration, to find all the elements in a vect
Strings as matrix: The matrix can be generated, that consists of strings in each row. Therefore, essentially it is created as a column vector of strings, but the final result
Minimum and Maximum Value The MATLAB has built-in functions for numerous statistics. For illustration, min and max to find the minimum or maximum value in a data set. >> x
Find Minimum and Maximum for each row To find the maximum (or minimum) for each row, the dimension of 2 (that is how a MATLAB refers to rows) can be identified as the third arg
Complex numbers: A complex number is commonly written in the form z = a + bi here a is known as the real part of the number z, b be the imaginary part of z, and i is √-1
Illustration of Writing to files: Here is the other illustration in which a matrix is written to a file. At First, an arbitrary 2 × 4 matrix is generated, and then it is writt
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