☆ 4.6 Article

A note on positive partial transpose blocks

AIMS MATHEMATICS (2023)

Inequalities on 2 x 2 block positive semidefinite matrices

Xiaohui Fu et al.

Summary: Matrix inequalities regarding the off-diagonal block and the geometric mean of the diagonal blocks of 2x2 block positive semidefinite matrices were obtained, improving previous results and extending existing inequalities. Applications to sector matrices were also discussed in the study.

LINEAR & MULTILINEAR ALGEBRA (2022)

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Article Engineering, Multidisciplinary

Matrix black box algorithms-a survey

Jerzy Respondek

Summary: This article explores algorithms that leverage the efficiency of fast matrix multiplication algorithms in other mathematical and computer science operations, referred to as the black box matrix computation paradigm.

BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES (2022)

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Article Mathematics, Applied

On sectorial matrices and their inequalities

Mohammad Alakhrass

Summary: This article discusses the restrictions on the numerical range of T under the condition of its polar decomposition, and provides related inequality conclusions.

LINEAR ALGEBRA AND ITS APPLICATIONS (2021)

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Article Mathematics