Linear complementarity problem

Linear complementarity problem is when we ask a question and try to find the answer using some rules we have.

Let's say a little girl wants to buy a blue dress from a shop. She has 2 choices: she can either pay the full price of the dress or she can pay half of it now and the other half later. But she can't just go on and buy it, she has to answer a question first: "Do I have enough money to buy the dress?"

Now, we can use some rules to find the answer. For example, we know that her total money is her pocket money plus what she saved. So we can write this as:

Total money = pocket money + saved money

Next, we know that she needs to pay either the full price or half of it now and half of it later. So we can write this as:

Full price = half price now + half price later

Now we have two equations (Total money = pocket money + saved money and Full price = half price now + half price later) that help us find the answer to our question.

This is a simple example of a linear complementarity problem. We ask a question and use some rules (in this case, equations) to find the answer. In more complex problems, the rules or equations might be harder to follow, but the basic idea is the same. We use a set of rules to find the answer to a question.