2 edition of **Computational complexity and numerical stability** found in the catalog.

Computational complexity and numerical stability

Nathan Friedman

- 389 Want to read
- 7 Currently reading

Published
**1978** by s.n.] in [Toronto .

Written in English

- Computational complexity

**Edition Notes**

Statement | by Nathan Friedman. |

Contributions | Toronto, Ont. University. |

The Physical Object | |
---|---|

Pagination | 170 leaves. |

Number of Pages | 170 |

ID Numbers | |

Open Library | OL22200653M |

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We will show that, under a sufficiently strong restriction upon numerical stability, any algorithm for multiplying two n x n. One of the purposes of this book is to provide the mathematical foundations of numerical methods, to analyze their basic theoretical properties (stability, accuracy, computational complexity) and.

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One of the purposes of this book is to provide the mathematical foundations of numerical methods, to analyze their basic theoretical properties (stability, accuracy, computational complexity) and demonstrate their performances on examples and counterexamples which outline their pros and cons.

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Author(s): J. McDonough. Mathematics and Computation. This lecture note covers the following topics: Prelude: computation, undecidability and the limits of mathematical knowledge, Computational complexity the basics, Problems and classes inside N P, Lower bounds, Boolean Circuits, and attacks on P vs.

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Issues of numerical stability, accurate approximation, computational complexity, and mathematical modeling share the limelight in a broad yet rigorous overview of those parts of numerical analysis. The symposium provided a forum for assessing progress made in analytic computational complexity and covered topics ranging from strict lower and upper bounds on iterative computational complexity to numerical stability of iterations for solution of nonlinear equations and large linear systems.

Stephen Vavasis observes that this book fills a significant gap in the literature: although theoretical computer scientists working on discrete algorithms had been studying models of computation and their implications for the complexity of algorithms since the s, researchers in numerical algorithms had for the most part failed to define their model of computation, leaving their results on a shaky foundation.

In this work, a fractional predator-prey model with the harvesting rate is considered. Besides the existence and uniqueness of the solution to the model, local stability and global stability are experienced.

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