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Accelerated first-order methods for hyperbolic programming.
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- المؤلفون: Renegar, James
- المصدر:
Mathematical Programming; Jan2019, Vol. 173 Issue 1/2, p1-35, 35p
- الموضوع:
- معلومة اضافية
- نبذة مختصرة :
We develop a framework for applying accelerated methods to general hyperbolic programming, including linear, second-order cone, and semidefinite programming as special cases. The approach replaces a hyperbolic program with a convex optimization problem whose smooth objective function is explicit, and for which the only constraints are linear equations (one more linear equation than for the original problem). Virtually any first-order method can be applied. An iteration bound for a representative accelerated method is derived. [ABSTRACT FROM AUTHOR]
- نبذة مختصرة :
Copyright of Mathematical Programming is the property of Springer Nature and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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