1 |
A. A. Abdurakhmanov, Geometry of a Hausdorff domain in problems of localization of the spectrum of arbitrary matrices, Math. USSR Sb., 59(1988), 39-51.
DOI
|
2 |
A. Abu-Omar and F. Kittaneh, Numerical radius inequalities for n×n operator matrices, Linear Algebra Appl., 468(2015), 18-26.
DOI
|
3 |
A. Abu-Omar and F. Kittaneh, Upper and lower bounds for the numerical radius with an application to involution operators, Rocky Mountain J. Math., 45(4)(2015), 1055-1065.
DOI
|
4 |
A. Abu-Omar and F. Kittaneh, Estimates for the numerical radius and the spectral radius of the Frobenius companion matrix and bounds for the zeros of polynomials, Ann. Funct. Anal., 5(1)(2014), 56-62.
DOI
|
5 |
P. Bhunia, S. Bag and K. Paul, Numerical radius inequalities and its applications in estimation of zeros of polynomials, Linear Algebra Appl., 573(2019), 166-177.
DOI
|
6 |
P. Bhunia, S. Bag and K. Paul, Bounds for zeros of a polynomial using numerical radius of Hilbert space operators, Ann. Funct. Anal., 12, 21(2021).
|
7 |
P. Bhunia, S. Bag and K. Paul, Numerical radius inequalities of operator matrices with applications, Linear Multilinear Algebra, 69(9)(2021), 1635-1644.
DOI
|
8 |
S. Bag, P. Bhunia and K. Paul, Bounds of numerical radius of bounded linear operator using t-Aluthge transform, Math. Inequal. Appl., 23(3)(2020), 991-1004.
|
9 |
P. Bhunia, K. Paul and R. K. Nayak, Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices, Math. Inequal. Appl., 24(1)(2021), 167-183.
|
10 |
M. Fujii and F. Kubo, Buzano's inequality and bounds for roots of algebraic equations, Proc. Amer. Math. Soc., 117(1993), 359-361.
DOI
|
11 |
I. B. Jung, E. Ko and C. Pearcy, Aluthge transforms of operators, Integral Equations Operator Theory, 37(2000), 437-448.
DOI
|
12 |
K. E. Gustafson and D. K. M. Rao, Numerical Range, The field of values of linear operators and matrices, Springer, New York, 1997.
|
13 |
R. A. Horn and C. R. Johnson, Matrix Analysis, Cambridge University Press, Cambridge, UK, 1985.
|
14 |
O. Hirzallah, F. Kittaneh and K. Shebrawi, Numerical radius inequalities for 2 × 2 operator matrices, Studia Math., 210(2012), 99-115.
DOI
|
15 |
F. Kittaneh and K. Shebrawi, Bounds for the zeros of polynomials from matrix inequalities- II, Linear Multilinear Algebra., 55(2007), 147-158.
DOI
|
16 |
F. Kittaneh, Bounds for the zeros of polynomials from matrix inequalities, Arch. Math. (Basel), 81(2003), 601-608.
DOI
|
17 |
F. Kittaneh, Singular values companion matrices and bounds on zeros of polynomials, Siam J. Matrix Anal. Appl., 16(1995), 333-340.
DOI
|
18 |
K. Paul and S. Bag, On the numerical radius of a matrix and estimation of bounds for zeros of a polynomial, Int. J. Math. Math. Sci., 2012(2012) Article Id 129132.
|
19 |
K. Shebrawi, Numerical radius inequalities for certain 2×2 operator matrices II, Linear Algebra Appl., 523(2017), 1-12.
DOI
|
20 |
T. Yamazaki, On upper and lower bounds of the numerical radius and an equality condition, Studia Math., 178(2007) 83-89.
DOI
|