Algorithms in Java

Analysis is the key to being able to understand algorithms sufficiently well that we can apply them effectively to practical problems. Although we cannot do...

We design and develop algorithms by layering abstract operations that help us to understand the essential nature of the computational problems that we want to...

In this section, we outline the framework within which mathematical analysis can play a role in the process of comparing the performance of algorithms and...

Most algorithms have a primary parameter N that affects the running time most significantly. The parameter N might be the degree of a polynomial, the...

The mathematical artifact that allows us to suppress detail when we are analyzing algorithms is called the O-notation, or "big-Oh notation," which is defined as...

As we shall see throughout the book, a great many algorithms are based on the principle of recursively decomposing a large problem into one or...

Armed with the tools outlined in the previous three sections, we now consider the analysis of sequential search and binary search, two basic algorithms for...

The running time of most algorithms depends on their input data. Typically, our goal in the analysis of algorithms is somehow to eliminate that dependence:...