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Singular Value Inequalities related to PPT Blocks

2023/05/17 by Mohammad Alakhrass, Alakhrass, Mohammad
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.2305.10461

openalex publication_date 2023/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we introduce several singular value and norm inequalities comparing the main diagonal and the off-diagonal components of a two by two PPT block. Some applications are given to obtain a new set of inequalities, some of which generalize and improve many well-known singular value and norm inequalities in the literature.

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