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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
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.