Christensen-Sinclair factorization via semidefinite programming

IF 1.1 3区数学 Q1 MATHEMATICS Linear Algebra and its Applications Pub Date : 2025-03-14 DOI:10.1016/j.laa.2025.03.007

Francisco Escudero-Gutiérrez

引用次数: 0

Abstract

We show that the Christensen-Sinclair factorization theorem, when the underlying Hilbert spaces are finite dimensional, is an instance of strong duality of semidefinite programming. This gives an elementary proof of the result and also provides an efficient algorithm to compute the Christensen-Sinclair factorization.

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基于半定规划的Christensen-Sinclair分解

我们证明了当底层Hilbert空间是有限维时，Christensen-Sinclair分解定理是半定规划的强对偶性的一个实例。给出了该结果的初等证明，并给出了计算Christensen-Sinclair分解的一种有效算法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Linear Algebra and its Applications 数学-应用数学

CiteScore

2.20

自引率

9.10%

发文量

333

审稿时长

13.8 months

期刊介绍： Linear Algebra and its Applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear algebra in their algebraic, arithmetic, combinatorial, geometric, or numerical aspects. It also publishes articles that give significant applications of matrix theory or linear algebra to other branches of mathematics and to other sciences. Articles that provide new information or perspectives on the historical development of matrix theory and linear algebra are also welcome. Expository articles which can serve as an introduction to a subject for workers in related areas and which bring one to the frontiers of research are encouraged. Reviews of books are published occasionally as are conference reports that provide an historical record of major meetings on matrix theory and linear algebra.

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