Concepedia

A matrix decomposition and its applications

Fuzhen Zhang

Linear and Multilinear Algebra · 2014 · 117 citations · 11 references

DOI

Concepts

Abstract

We show the uniqueness and construction (of the Z matrix in Theorem 2.1, to be exact) of a matrix decomposition and give an affirmative answer to a question proposed in [J. Math. Anal. Appl. 407 (2013) 436-442].

References

11

Inequalities: Theory of Majorization and its Applications.

Barry C. Arnold, Albert W. Marshall, Ingram Olkin · Journal of the American Statistical Association · 1981 · 5K citations

, , +14

Singular value inequalities for matrices with numerical ranges in a sector

S.W. Drury, Minghua Lin · Operators and Matrices · 2014 · 87 citations · Full text

, , +7

Principal powers of matrices with positive definite real part

S.W. Drury · Linear and Multilinear Algebra · 2014 · 60 citations

, , +6

Norm inequalities for accretive–dissipative operator matrices

Minghua Lin, Duanmei Zhou · Journal of Mathematical Analysis and Applications · 2013 · 43 citations

, , +9

Determinantal and eigenvalue inequalities for matrices with numerical ranges in a sector

Chi-Kwong Li, Nung-Sing Sze · Journal of Mathematical Analysis and Applications · 2013 · 38 citations

, , +9