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In computer science, divide and conquer is an algorithm design paradigm. A divide-and-conquer algorithm recursively breaks down a problem into two or more sub-problems of the same or related type, until these become simple enough to be solved directly. The solutions to the sub-problems are then combined to give a solution to the original problem.
This technique can be used to improve the efficiency of many eigenvalue algorithms, but it has special significance to divide-and-conquer. For the rest of this article, we will assume the input to the divide-and-conquer algorithm is an real symmetric tridiagonal matrix . The algorithm can be modified for Hermitian matrices.
Divide and conquer (Latin: divide et impera)(lit. "divide and rule" ) in politics refers to an entity gaining and maintaining political power by using divisive measures. This includes the exploitation of existing divisions within a political group by its political opponents, and also the deliberate creation or strengthening of such divisions.
Defeat in detail, or divide and conquer, is a military tactic of bringing a large portion of one's own force to bear on small enemy units in sequence, rather than engaging the bulk of the enemy force all at once. This exposes one's own units to many small risks but allows for the eventual destruction of an entire enemy force.
The master theorem always yields asymptotically tight bounds to recurrences from divide and conquer algorithms that partition an input into smaller subproblems of equal sizes, solve the subproblems recursively, and then combine the subproblem solutions to give a solution to the original problem. The time for such an algorithm can be expressed ...
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Enjoy a classic game of Hearts and watch out for the Queen of Spades!
Divide and rule or divide and conquer (Latin: divide et impera) is a method for gaining and maintaining power in politics and sociology. Divide and rule or divide and conquer may also refer to: Arts and entertainment