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How to index lmi constraints?
Something like this would be a complete vectorization n = 3; [i,ii] = find(triu(ones(n),1)); index = sub2ind([n n],i,...

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mixed integer(all are binary) problem
If you only have linear constraints, and the problem is as small as it is here, you should really use a dedicated mixed-integer ...

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solve an inequality with LMI approach
With the MATLAB Toolbox YALMIP, and some SDP solver installed (such as SDPT3, SeDuMi, Mosek etc) it would be (you have not clear...

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about the use cplex for solving LP in matlab
Late answer but anyway... 1. Why have you installed such an old version? 12.6 has been out for a long time now 2. This err...

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How to solve affine Linear Matrix Inequlaity?
Standard approach is to use a common Lyapunov function, i.e., define two LMIs, one for h = 0 and one for h = -45.86. From convex...

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Why LMI toolbox/ Yalmip get a semi-positive definite matrix as the answer?
Strict inequalities are not really supported http://users.isy.liu.se/johanl/yalmip/pmwiki.php?n=Blog.Prepare-your-code BTW...

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YALMIP not able to find PENBMI solver for solving bilinear matrix inequlality
1. You are using a very very old version of YALMIP 2. SET is obsolete 3. Yes, you have to install PENBMI. YALMIP does not ...

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Nonlinear optimal control by using yalmip
The problem is that you are creating a nonconvex nonlinear problem, and fmincon simply fails to find a solution. You see this if...

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Number of lattice points within a circle
Find the number of points (x,y) in square lattice with x^2 + y^2 =< n. This is related to Jame's <http://www.mathworks.com/matla...

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Swap the first and last columns
Flip the outermost columns of matrix A, so that the first column becomes the last and the last column becomes the first. All oth...

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Back and Forth Rows
Given a number n, create an n-by-n matrix in which the integers from 1 to n^2 wind back and forth along the rows as shown in the...

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Most nonzero elements in row
Given the matrix a, return the index r of the row with the most nonzero elements. Assume there will always be exactly one row th...

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Remove any row in which a NaN appears
Given the matrix A, return B in which all the rows that have one or more <http://www.mathworks.com/help/techdoc/ref/nan.html NaN...

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Finding Perfect Squares
Given a vector of numbers, return true if one of the numbers is a square of one of the other numbers. Otherwise return false. E...

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Check if sorted
Check if sorted. Example: Input x = [1 2 0] Output y is 0

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Weighted average
Given two lists of numbers, determine the weighted average. Example [1 2 3] and [10 15 20] should result in 33.333...

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Who Has the Most Change?
You have a matrix for which each row is a person and the columns represent the number of quarters, nickels, dimes, and pennies t...

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Fibonacci sequence
Calculate the nth Fibonacci number. Given n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ... Examples: Inpu...

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Determine whether a vector is monotonically increasing
Return true if the elements of the input vector increase monotonically (i.e. each element is larger than the previous). Return f...

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Triangle Numbers
Triangle numbers are the sums of successive integers. So 6 is a triangle number because 6 = 1 + 2 + 3 which can be displa...

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Make a checkerboard matrix
Given an integer n, make an n-by-n matrix made up of alternating ones and zeros as shown below. The a(1,1) should be 1. Example...

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Find all elements less than 0 or greater than 10 and replace them with NaN
Given an input vector x, find all elements of x less than 0 or greater than 10 and replace them with NaN. Example: Input ...

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Column Removal
Remove the nth column from input matrix A and return the resulting matrix in output B. So if A = [1 2 3; 4 5 6]; and ...

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Select every other element of a vector
Write a function which returns every other element of the vector passed in. That is, it returns the all odd-numbered elements, s...

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Add two numbers
Given a and b, return the sum a+b in c.

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Determine if input is odd
Given the input n, return true if n is odd or false if n is even.

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Find the sum of all the numbers of the input vector
Find the sum of all the numbers of the input vector x. Examples: Input x = [1 2 3 5] Output y is 11 Input x ...

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Make the vector [1 2 3 4 5 6 7 8 9 10]
In MATLAB, you create a vector by enclosing the elements in square brackets like so: x = [1 2 3 4] Commas are optional, s...

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