![]() Thank you, This is probably first time I heard these words Only use const when you want to specifically forbid someone else (or future you) from using the code incorrectly, so complicated functions for example, as well as in method headers (here optimisation can't always kick in) Similarly I don't think there's much gained from declaring all variables const, imo it makes code less readable and the compiler most likely optimises around the variables never changing anyways. prompting for 'a' and making sure it's not zero or invalid inputĬonst double squareRoot, I personally just use normal assignment. Getting quadractic values from users and also making sure value is correct before proceedings to solve quadratic equation In.ignore(std::numeric_limits::max(), '\n') according to quadratic equation, 'a' cannot be zero To store quadratic values all together Please review my code and provide some feedback and if there better alternative approach please tell me. I try my best to handle input validation and errors as far my knowledge. I create a program to solve Quadratic equations. if your post does not appear in the new queue, just send a message to the moderators.make your questions relevant to other readers.give your post a meaningful title, i.e., NOT "I have a C++ problem" but, e.g., "Problem with nested for loops".thoroughly research for an answer first.Tips for improving your chances of getting helpful answers: Read these guidelines for how to ask smart questions.įor learning books, check The Definitive C++ Book Guide and Listįlair your post as SOLVED if you got the help you were looking for! If you need help with flairs, check out ITEM 1 in our guidelines page. Hasty-sounding questions get hasty answers, or none at all. New to C++? Learn at READ BEFORE POSTINGīefore you post, please read our sticky on proper code formatting. For general discussion and news about c++ see r/cpp. Whether it has been done already in a standard package, I cannot tell.This is a subreddit for c++ questions with answers. However, this is quick enough and easy to program. That would require tracing the degenerate plane. The catch is that the Lagrange problem degenerates when you have multiple solutions in the original problem, so you'll easily determine the value of the minimum of $F(z)$ but not immediately the value of $z$. Moreover, the global minimum in the original problem corresponds to $q$ such that $(A(q)^B(q),B(q))$ are convex, so the methods of convex optimization work. (note that $c$ does not depend on $q=(q_n)$!) The Lagrange multiplier theorem tells that if you have a local minimum of $F(z)$ under the conditions $G_n(z)=0$, then we can find $q_n\in\mathbb R$ such thatį_q(z)=F(z)+\sum_n q_n G_n(z)=(A(q)z,z)-2(B(q),z)+cĪttains a global minimum at the same point. Set the problem asĪnd consider both the objective and the conditions as quadratic forms of $z=(x,y)$. Suppose you want to minimize $\sum_n Q_n(x)^2$ where $Q_n$ are quadratic forms. There is one fancy way specific for the quadratics. So, is there a free math tool (like Sage) which can minimize things for me (and be certain that no other point is better within some tolerance)? I'm open to theoretical advice, but feel like the options will all look like brute force. I'm thinking there might be some software tool that considers the "terrain" smartly and is locally minimizing on many global fronts.or maybe that is impractical. This example probably actually has a solution where all equations are zero, but I also have cases which have no zero solution, so I'd rather not do the "repeatedly eliminate variables and solve for the quadratic root" approach (also, this approach takes too long is there even any machine which could find a full zero for these equations within 10 minutes?). ![]() For example, I am looking to make the 6 equations below as "small" as possible (a-j are unknown real numbers). I have many polynomial equations in many variables which I want to jointly minimize (in a mean square sense, but you could pick a different reasonable measure which favors anything where all quantities go to zero). ![]()
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