divide and conquer (master method, integer and matrix multiplication, closest pair), and randomized algorithms (QuickSort, contraction algorithm for min cuts).

Suppose the input array A has no split inversions. What is the relationship between the sorted subarrays B and C? B has the smallest element of A, C the second-smallest, B the third-smallest, and so ...

Divide and conquer is useful because it can improve the time and space efficiency of algorithms ... is the method of breaking the problem into subproblems. The conquer rule is the algorithm ...

He explains: “State-of-the-art numerical algorithms ... While the divide and conquer method is effective in using computational resources to provide a big data analysis, a robust and efficient ...

Slight differences in the efficiency of multiplication algorithms can ... Karatsuba’s “divide-and-conquer” multiplication algorithm has its roots in a method that Carl Friedrich Gauss ...

Abstract: Selection problem, which is to find the kth smallest element in a sequence of n numbers in arbitrary order, is a typical problem in algorithm design and analysis. The select problem is ...

Both algorithms apply a base algorithm on several small subgraphs and then use these individual local clusterings to obtain a global clustering. We show that our methods ... real-data analysis to ...

Abstract: We present a divide-and-conquer algorithm to improve the three-dimensional (3-D) boundary element method (BEM) for capacitance extraction ... Furthermore, our algorithms gives accurate ...