Matrix Inequalities by Means of Block Matrices

Matrix Inequalities by Means of Block Matrices - Ele-Math

We first show a weak log-majorization inequality of singular values for partitioned positive semidefinite matrices which will imply some existing results of a ...

Matrix Inequalities by Means of Block Matrices - NSUWorks

We first show a weak log-majorization inequality of singular values for partitioned positive semidefinite matrices which will imply some existing results of ...

Matrix Inequalities by Means of Block Matrices

Matrix Inequalities by Means of Block Matrices. First abstract page. DOI. Find all available articles from these authors.

Matrix Inequalities by Means of Block Matrices - Semantic Scholar

We first show a weak log-majorization inequality of singular values for partitioned positive semidefinite matrices which will imply some existing results of ...

Matrix Inequalities by Means of Block Matrices | Request PDF

Request PDF | Matrix Inequalities by Means of Block Matrices | We first show a weak log-majorization inequality of singular values for partitioned positive ...

Some norm inequalities for some positive block matrices - HAL

positive block matrix; partial transpose; sym- metric norm ... The matrix ˜M defined in Mm(Mn) by ˜. M. [x k,l i,j. ] = M[x i,j k,l. ] ...

INEQUALITIES OF BLOCK MATRICES IN THE CONTEXT ... - AVESİS

Definition 2.1.4 (Horn & Johnson, 2013) A matrix 𝑃𝑃 ∈ 𝑀𝑀𝑛𝑛 is a permutation matrix if exactly one entry in each row and column is equal ...

On some inequalities related to positive block matrices - ScienceDirect

We will show that [ min ⁡ { m , n } ( Tr A i , j ) I n − A i , j ] i , j = 1 m is a block PPT matrix. According to this result, we present some ...

MATRIX SUBADDITIVITY INEQUALITIES AND BLOCK-MATRICES

This would extend known results for positive operator to all normal operators. We prove these inequalities in several cases and we propose some related open ...

Inequalities for partial determinants of accretive block matrices

... block matrix. We write det1 and det2 for the first and second ... means that A − B ≥ 0 ( A − B > 0 ). For ...

Improvements on some partial trace inequalities for positive ... - arXiv

Abstract:We study matrix inequalities involving partial traces for positive semidefinite block matrices. First of all, we present a new method ...

A note on a trace inequality for positive block matrices

complex matrices, then for a density matrix ρ = A B. B∗. C. ∈ M2 ⊗ Mn ... positive block matrix, trace, entropy, inequality. 1. Page 2. 2. ÁDÁM BESENYEI.

Inequalities for Singular Values of Positive Semidefinite Block Matrices

In particular, the 2 × 2 block matrices play an important role in deriving matrix inequalities. A number of matrix inequalities considered by means of block.

Inequalities for partial determinants of accretive block matrices

... block matrix. We write det1 and det2 for the first and second partial ... means that A–B ≥ 0 (A–B > 0). For A ∈ Mn, the singular val- ues of A ...

Norm inequalities for sector block matrices - ScienceDirect.com

We study unitarily invariant norm inequalities for sector block matrices and obtain new inequalities which extend some recent results of Jabbarzadeh and ...

Chapter 3 Block Matrix Techniques

This chapter is an expository study of matrix inequalities by means of the techniques on block matrices; usually they are 2 x 2 in most ...

9. Properties of Matrices Block Matrices - UC Davis Math

There are many ways to cut up an n × n matrix into blocks. Often context or the entries of the matrix will suggest a useful way to divide.

Block matrices in linear algebra - Stephan Ramon Garcia

Textbooks such as [2–7] make use of block matrices. We take the reader on a tour of block-matrix methods and applications. In. Section 2, we use right-column ...

(PDF) Some norm inequalities for some positive block matrices

negative matrix we know by Perron-Frobenius theorem that |λn(M)| ≤ λ1(M). ... where ωis the width of a strip containing the numerical range of X.

The Inequalities of Positive Semi-Definite Block Matrix with Partial ...

... block matrices and obtained some matrix inequalities ... Zhang, Matrix inequalities by means of block matrices, Mathematical Inequalities and Applications, Vol.