Effective Polynomial Computation

Released on by Richard Zippel
preview-18

  • Effective Polynomial Computation Book Detail

  • Author : Richard Zippel
  • Release Date : 2012-12-06
  • Publisher : Springer Science & Business Media
  • Genre : Computers
  • Pages : 364
  • ISBN 13 : 1461531888
  • File Size : 39,39 MB
DOWNLOAD BOOK

Effective Polynomial Computation by Richard Zippel PDF Summary

Book Description: Effective Polynomial Computation is an introduction to the algorithms of computer algebra. It discusses the basic algorithms for manipulating polynomials including factoring polynomials. These algorithms are discussed from both a theoretical and practical perspective. Those cases where theoretically optimal algorithms are inappropriate are discussed and the practical alternatives are explained. Effective Polynomial Computation provides much of the mathematical motivation of the algorithms discussed to help the reader appreciate the mathematical mechanisms underlying the algorithms, and so that the algorithms will not appear to be constructed out of whole cloth. Preparatory to the discussion of algorithms for polynomials, the first third of this book discusses related issues in elementary number theory. These results are either used in later algorithms (e.g. the discussion of lattices and Diophantine approximation), or analogs of the number theoretic algorithms are used for polynomial problems (e.g. Euclidean algorithm and p-adic numbers). Among the unique features of Effective Polynomial Computation is the detailed material on greatest common divisor and factoring algorithms for sparse multivariate polynomials. In addition, both deterministic and probabilistic algorithms for irreducibility testing of polynomials are discussed.

Disclaimer: www.yourbookbest.com does not own Effective Polynomial Computation books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Effective Polynomial Computation

Effective Polynomial Computation

File Size : 92,92 MB
Total View : 9658 Views
DOWNLOAD

Effective Polynomial Computation is an introduction to the algorithms of computer algebra. It discusses the basic algorithms for manipulating polynomials includ

Solving Polynomial Equations

Solving Polynomial Equations

File Size : 29,29 MB
Total View : 360 Views
DOWNLOAD

This book provides a general introduction to modern mathematical aspects in computing with multivariate polynomials and in solving algebraic systems. It present

Elimination Methods

Elimination Methods

File Size : 37,37 MB
Total View : 1936 Views
DOWNLOAD

The development of polynomial-elimination techniques from classical theory to modern algorithms has undergone a tortuous and rugged path. This can be observed L