Recent Advances in Real Complexity and Computation; proceedings (Contemporary Mathematics; Volume 604) by UIMP-RSME Lluís Santaló Summer School (2012: Santander, Spain) Edited by José Luis Montaña and Luis M. Pardo - 2013

American Mathematical Society, 2013. Paperback. New Book. Paperback. Six studies revised from presentations at the school examine recent developments regarding Smale's 17th Problem. They cover topics in real and complex number complexity theory; the real solving of algebraic varieties with intrinsic complexity; the complexity and geometry of numerically solving polynomial systems; multiplicity hunting and approximating multiple roots of polynomial systems; the intrinsic complexity of elimination problems in effective algebraic geometry; and Newton iteration, conditioning, and zero counting. The material is aimed at graduate students of mathematics. (2013 Ringgold, Inc., Portland, OR)