Complex Root Isolation - Jayantha Lanel
-20% with code BOOKS
Shipping in 12-18 days
30-day return policy
Complex root isolation of univariate Gaussian integer polynomial A(z) can be done by reducing the problem to find an algorithm to determine the number of roots of A(z) in any given closed rectangle R in the complex plane. If there are no zeros of A(z) on the boundary of R, then the number of roots in R can be obtained by using the argument principle. However, the argument principle fails when there is a roo ... Full description
You May Also Like
TOP
Six Not-so-easy Pieces: Einstein's Relativity, Symmetry, and Space-Time
Richard P. Feynman, Robert B. Leighton, Matthew Sands
-20% with code BOOKS
In stock at our supplier
TOP
Six Easy Pieces: Essentials of Physics Explained by Its Most Brilliant Teacher
Richard P. Feynman, Robert B. Leighton, Matthew Sands
-20% with code BOOKS
In stock at our supplier
TOP
Behave: The Biology of Humans at Our Best and Worst
-20% with code BOOKS
In stock at our supplier
TOP
Determined: The Science of Life Without Free Will
-20% with code BOOKS
In stock at our supplier
TOP
The Age of Alchemy: How Early Innovators Shaped Modern Chemistry
-20% with code BOOKS
In stock at our supplier
TOP
The Secrets of our DNA: How Genetics has Changed the World
-20% with code BOOKS
In stock at our supplier
TOP
Why We Sleep: Unlocking the Power of Sleep and Dreams
-20% with code BOOKS
In stock
TOP
Biology: A Global Approach, Global Edition
Neil Campbell, Rebecca Orr, Lisa Urry, Peter Minorsky, Michael Cain, Jane Reece, Steven Wasserman
-20% with code BOOKS
In stock at our supplier
TOP
Why Machines Learn: The Elegant Maths Behind Modern AI
-20% with code BOOKS
In stock at our supplier
TOP
A Short History of Nearly Everything 2.0
-20% with code BOOKS
In stock at our supplier
TOP
Astrophysics for People in a Hurry: Essays on the Universe and Our Place Within It
-20% with code BOOKS
In stock at our supplier
TOP
The Rise and Fall of the Dinosaurs: A New History of a Lost World
-20% with code BOOKS
In stock at our supplier
TOP
The Rise and Reign of the Mammals: A New History, from the Shadow of the Dinosaurs to Us
-20% with code BOOKS
In stock at our supplier
TOP
Learn Faster, Perform Better: A Musician's Guide to the Neuroscience of Practicing
-20% with code BOOKS
In stock at our supplier
TOP
Beyond Inheritance: Our Ever-Mutating Cells and a New Understanding of Health
-20% with code BOOKS
In stock at our supplier
TOP
A Brief History of Time: From the Big Bang to Black Holes
-20% with code BOOKS
In stock at our supplier
TOP
Thing Explainer: Complicated Stuff in Simple Words
-20% with code BOOKS
In stock at our supplier
TOP
Introduction to Quantum Mechanics
Darrell F. Schroeter, David J. Griffiths
-20% with code BOOKS
In stock at our supplier
TOP
Universe: The Definitive Visual Guide
-20% with code BOOKS
In stock at our supplier
Description
Complex root isolation of univariate Gaussian integer polynomial A(z) can be done by reducing the problem to find an algorithm to determine the number of roots of A(z) in any given closed rectangle R in the complex plane. If there are no zeros of A(z) on the boundary of R, then the number of roots in R can be obtained by using the argument principle. However, the argument principle fails when there is a root on the boundary of R. In this book a mathematical proof is given to solve the problem although there are roots on the boundary. We have also presented an algorithm based on the above result that isolate all complex zeros of A. Furthermore we have shown that the time complexity of the algorithm has a good upper bound. Finally, the algorithm is implemented in SacLib2.1 and we have provided empirical evidence that our algorithm is efficient in practice.
More Information
| Author | Jayantha Lanel |
|---|---|
| Publisher | Scholars' Press |
| Release year | 2013 |
| Cover type | Softcover |
| EAN | 9783639514445 |