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Borweins Algorithm

start Borwein-Quartic PI calculation * PI now known to 2 digits of accuracy . # include #include #include "m_apm.

Borweins Algorithm is described in multiple online sources, as addition to our editors' articles, see section below for printable documents, Borweins Algorithm books and related discussion.

Suggested Pdf Resources

Relaxed Steepest Descent and Cauchy-Barzilai-Borwein Method
the classical Cauchy method, and also the Barzilai-Borwein method.
Inexact Barzilai-Borwein Method for Saddle Point Problems
plied to saddle point problems.
The cyclic Barzilai–Borwein method for unconstrained optimization
Mar 24, 2006 The cyclic Barzilai–Borwein method for unconstrained optimization. YU-HONG DAI†.
ON THE BARZILAI-BORWEIN METHOD
A number of interesting open questions are put forward. Key words: Barzilai- Borwein method, steepest descent, elliptic systems, un- constrained optimization.
The Cyclic Barzilai-Borwein Method for Unconstrained Optimization∗
In the cyclic Barzilai-Borwein (CBB) method, the same BB stepsize is reused for m consecutive iterations.

Suggested Web Resources

Borwein's algorithm - Wikipedia, the free encyclopedia
In mathematics, Borwein's algorithm is an algorithm devised by Jonathan and Peter Borwein to calculate the value of 1/π.
BBP Formula -- from Wolfram MathWorld
Borwein's algorithm - Wikipedia | Facebook
Borwein's algorithm - Description: In mathematics, Borwein's algorithm is an algorithm devised by Jonathan and Peter Borwein to calculate the value of 1/π.
MAPM Readme
Algorithm of the Bi_Month: Computing
S. Wagon [Math Intelligencer 7 (1985) 65-67]. Borweins' algorithm did not come completely out of the blue; work in this direction was started by E.

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