Items tagged with inequality inequality Tagged Items Feed


Is it possible to solve linear matrix inequality in Maple?
For example, using Matlab and yalmip we can easily
solve Lyapunov equation
    A'P + P * A <0, P> 0

Is it possible to solve this equation in the Maple?



Here's an example compound inequality I'm working on.

Working it out manually.... 

Compound Inequality
4477.25 <= 4477.25+.25*(t-32450) <= 16042.25;

Distribute the coefficient
4477.25 <= 4477.25+.25*t - 8112.50 <= 16042.25;

Combine like terms
4477.25 <= -3635.25+.25*t <= 16042.25;

Add 3635.25 to all sides
8112.50 <= .25*t <= 19677.50;

Divide all sides by .25
32450 <= t <= 78710;


How can I ask Maple to simplify this compound inequality? Obviously this is not the correct syntax, It seems Maple doesn't understand what I want it to do.

4477.25 <= 4477.25 + .25 * (t-32450) <= 16042.25;

                       0.00 <= 0.25 t - 8112.50 and 0.25 t <= 19677.50                (112)


Also is there a way to ask Maple to only perform one step? In the above example, is it possible to ask Maple to "Distribute the .25", then show the result, next ask it to combine like terms, etc?

Hello: I'm looking over the Help section but I can not find a Maple package that has a command to compute the symmetric sum or the cyclic sum. I just started working with inequalities. Please could anyone recommend a package that allows me to compute expressions related to Muirhead's Inequality (see part 2 of  the answer:

I need to maximize two multivariate objective functions (f(x1,y1,z1,t1) and g(x2,y2,z2,t2)) with inequality and nonnegativity constraints (x1, x2>0 and y1, z1, t1, y2, z2, t2 >=0). I am looking for parametric not numerical solutions.

What is the best way to find the solution to such a problem using maple?

I'm trying to solve the following inequality:


but the solve command returns:

"Warning, solutions may have been lost"

Can someone halp me?

Thank you.


Hi, I need to show some how by using Maple, that n^3>(n+1)^2 where n>=3. Iam new at Maple and not sure how I can graph inequality as n goes to infinity. Any help would be appriciated. Thanks!!!



I want to check this inequality (check below) for the set of parameters that holds, and I also want to restrict my variable to be real and non-negative (i.e k>=0), I am getting the usual message that "Solutions may have being lost". Can somebody please help me on how i can handle this ? Thanks 


Please give specific instructions line per line, and all commands necessary to solve and plot on the same graph the inequality (x+3)^2>(-2)*(x+10).Thank you in advance for your help

I'm trying to use solve to find out if a system of equalities and inequalities has any solution or not, but maple 15 seems to be giving phantom solutions.  A simple example is the following:

  solve({ a + b = 1, a > 0, b > 1, c > 0 }, {a,b,c});

It gives the output


I want to create a tangent function.

I know that you can create tan(x) but how can you create the tangent function when the solutions are only:

x in [0.19740;0.91510[ union [3.3390;4.0567 ?


Another explanation:

How you can graphically show the valid values of x in this inequality?

                  0.2 ≤ tan x < 1.3
Best regards

How to solve the inequality 3^((x+3)/(5*x-2))-4 >= 5*3^((9*x-7)/(5*x-2)) with Maple?
An exact and explicit solution is required.

How to solve this inequality? 6/(2*x+1)>(1+log[2](2+x)/x). I tried


I receive: "Warning, solutions may have been lost."


i am unable to solve the following inequalities:

ineq1 := (4-(3/2)*q+(1/2)*sqrt(28-24*q+5*q^2))*(1/2-(1/2)*q)







"Warning, solutions may have been lost"


please help me here

I am a transplant from to Mathematica to Maple and still getting used to things. Could somebody please help me finding the maximum of f with repect to the constraints and with the variables below. I keep getting  syntax error, no matter how many times I check the documentation page. Thank you very much

f:=1/((4 a - 3 M) (-4 b + 3 M)) (-9 M^3 - 16 a b x +
    12 a M x + 12 M^2 x + 16 b x^2 - 12 M x^2 + 12 b M y +
    12 M^2 y - 16 b x y - 16 M x y - 12 M y^2 + 16 x y^2)...

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