Tài liệu Thuật toán Algorithms (Phần 19) pdf

... the programs to handle more complicated records and keys, but this won’t fundamentally change the algorithms. For example, info could be made into a pointer to an arbitrarily complicated record ... or largest key value to simplify 174 CHAF’TER 14 the coding of the inner loop of various sorting algorithms. This method takes about N steps for an unsuccessful search (every record must be exam...

Ngày tải lên: 21/01/2014, 17:20

... doubles, the running time increases eightfold. Few algorithms with exponential running time are likely to be ap- propriate for practical use, though such algorithms arise naturally as “brute-force” ... effect of the leading term dominates; for small N or for carefully engineered algorithms, more terms may contribute and of algorithms are more difficult. In most cases, we’ll simply ref...

Ngày tải lên: 15/12/2013, 02:16

... some simple algorithms for addition and multiplication of polynomials and matrices. The algorithms themselves are well-known and straightforward; we’ll be examining sophisticated algorithms for ... numbers to be of type integer or with all of the normal arithmetic operations defined on both types. Algorithms come into play when the opera- tions must be performed on more complicated ma...

Ngày tải lên: 15/12/2013, 02:16

... all fall very close to the diagonal. In such cases, the inner loops of the Gaussian elimination algorithms need only be iterated a few times, so that the total running time (and storage requirement) ... equations has been shown to be computationally equivalent to multiplying matrices, so tlhere exist algorithms (for example, Strassen’s matrix multiplication algorithm) which can solve syst...

Ngày tải lên: 24/12/2013, 11:15

... of the Game Before considering some specific algorithms, it will be useful to discuss some general terminology and basic assumptions for sorting algorithms. We’ll be considering methods of sorting ... 13, but most of the algorithms that we’ll consider are internal sorts. As usual, the main performance parameter that we’ll be interested in is the running time of our sorting algorithms. As...

Ngày tải lên: 24/12/2013, 11:15

... (together with Quicksort) are typical of im- plementations of divide-and-conquer algorithms. We’ll see several algorithms with similar structure in later chapters, so it’s worthwhile to take a ... recursion comes into play. Many algorithms are quite simply expressed in a recursive formulation. In modern programming environments, recursive programs implementing such algorithms can be qu...

Ngày tải lên: 21/01/2014, 17:20

... memory for the links, while Quicksort sorts with only a little extra memory. The running times of algorithms on binary search trees are quite depen- dent on the shapes of the trees. In the best ... However, binary trees also provide a good example of a recurrent theme in the study of searching algorithms: the delete function is often quite cumbersome to implement. To delete a node from a ....

Ngày tải lên: 21/01/2014, 17:20

Ngày tải lên: 21/01/2014, 17:20

... ‘Andrews’, but after ‘Aitken”‘) followed by sequential search (“ ‘Algonquin’ . . . ‘Algren’ . . . No, Algorithms isn’t listed!“). Of course computers are likely to be somewhat better than humans at

Ngày tải lên: 21/01/2014, 17:20

... problem can be characterized as a searching prob- lem with the pattern as the key, but the searching algorithms that we have studied do not apply directly because the pattern can be long and because it ... unknown way. It is an interesting problem to study because several very different (and surprising) algorithms have only recently been discovered which not only provide a spectrum of use...

Ngày tải lên: 21/01/2014, 17:20