Singular value inequalities for matrices with numerical ranges in a sector
نویسندگان
چکیده
منابع مشابه
Properties of matrices with numerical ranges in a sector
Let $(A)$ be a complex $(ntimes n)$ matrix and assume that the numerical range of $(A)$ lies in the set of a sector of half angle $(alpha)$ denoted by $(S_{alpha})$. We prove the numerical ranges of the conjugate, inverse and Schur complement of any order of $(A)$ are in the same $(S_{alpha})$.The eigenvalues of some kinds of matrix product and numerical ranges of hadmard product, star-congruen...
متن کاملSingular value inequalities for positive semidefinite matrices
In this note, we obtain some singular values inequalities for positive semidefinite matrices by using block matrix technique. Our results are similar to some inequalities shown by Bhatia and Kittaneh in [Linear Algebra Appl. 308 (2000) 203-211] and [Linear Algebra Appl. 428 (2008) 2177-2191].
متن کاملsingular value inequalities for positive semidefinite matrices
in this note, we obtain some singular values inequalities for positive semidefinite matrices by using block matrix technique. our results are similar to some inequalities shown by bhatia and kittaneh in [linear algebra appl. 308 (2000) 203-211] and [linear algebra appl. 428 (2008) 2177-2191].
متن کاملDeterminantal and Eigenvalue Inequalities for Matrices with Numerical Ranges in a Sector
Let A = ( A11 A12 A21 A22 ) ∈ Mn, where A11 ∈ Mm with m ≤ n/2, be such that the numerical range of A lies in the set {eiφz ∈ C : |=z| ≤ (<z) tanα}, for some φ ∈ [0, 2π) and α ∈ [0, π/2). We obtain the optimal containment region for the generalized eigenvalue λ satisfying λ ( A11 0 0 A22 ) x = ( 0 A12 A21 0 ) x for some nonzero x ∈ C, and the optimal eigenvalue containment region of the matrix I...
متن کاملSingular Value Inequalities for Positive Semidefinite Matrices
In this note, we obtain some singular values inequalities for positive semidefinite matrices by using block matrix technique. Our results are similar to some inequalities shown by Bhatia and Kittaneh in [Linear Algebra Appl. 308 (2000) 203-211] and [Linear Algebra Appl. 428 (2008) 2177-2191].
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Operators and Matrices
سال: 2014
ISSN: 1846-3886
DOI: 10.7153/oam-08-64