Optimal Mass Transport
Gacemi, Geoffrey, Sedjro, Marc
- 出版商: LAP Lambert Academic Publishing
- 出版日期: 2021-04-19
- 售價: $1,810
- 貴賓價: 9.5 折 $1,720
- 語言: 英文
- 頁數: 56
- 裝訂: Quality Paper - also called trade paper
- ISBN: 6203847488
- ISBN-13: 9786203847482
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相關分類:
數值分析 Numerical-analysis
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商品描述
In this book, we discuss the theory of optimal mass transport as first formulated by Gaspard Monge in 1781. We further discuss the important steps leading to the existence of solutions to the Monge's problem. Next, we formulate Brenier theorem which not only solves the Monge's problem for quadratic cost function but also provides a link to a class of the Monge-Ampere equations. Finally, we study the regularity of Brenier solution.
