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• W2171036119 abstract "Smale's ®-theory uses estimates related to the convergence of Newton's method to certify that Newton iterations will converge quadratically to solutions to a square polynomial system. The program alphaCertified implements algorithms based on ®-theory to certify solutions of polynomial systems using both exact rational arith- metic and arbitrary precision floating point arithmetic. It also implements algorithms that certify whether a given point corresponds to a real solution, and algorithms to heuristically validate solutions to overdetermined systems. Examples are presented to demonstrate the algorithms." @default.
• W2171036119 created "2016-06-24" @default.
• W2171036119 creator A5007214938 @default.
• W2171036119 creator A5078229263 @default.
• W2171036119 date "2010-11-04" @default.
• W2171036119 modified "2023-09-27" @default.
• W2171036119 title "ALPHACERTIFIED: CERTIFYING SOLUTIONS TO POLYNOMIAL SYSTEMS" @default.
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