Results 61 to 70 of about 1,268 (93)
A short proof of the elliptical range theorem [PDF]
arXiv, 2022 A short proof of the elliptical range theorem concerning the numerical range of $2\times2$ complex matrices is given.
arxiv
On convergence of infinite matrix products [PDF]
Electronic Journal of Linear Algebra, 7 (2000), 178-181, 2005 A necessary and sufficient condition for the convergence of an infinite right product of matrices of the form | I B | A = | 0 C |, with (uniformly) contracting submatrices $C$, is proven.
arxiv
Revisiting Schur's bound on the largest singular value [PDF]
arXiv, 2007 We give upper and lower bounds on the largest singular value of a matrix using analogues to walks in graphs. For nonnegative matrices these bounds are asymptotically tight. In particular, we improve a bound due to I. Schur.
arxiv
Noncommutative Perspectives of Operator Monotone Functions in Hilbert Spaces [PDF]
arXiv, 2020 Some identities for noncommutative perspectives of operator monotone functions in Hilbert spaces aregiven. Applications for weighted operator geometric mean and relative operator entropy are also provided.
arxiv
A radius of absolute convergence for power series in many variables [PDF]
arXiv, 2010 In this paper for power series in many (real or complex)variables a radius of (absolute) convergence is offered. This radius can be evaluated by a formula similar to Cauchy-Hadamard formula and in one variable case they are same.
arxiv
Polynomial inequalities for non-commuting operators [PDF]
Electronic Journal of Linear Algebra, Vol. 20, 2010 pp 506-518, 2010 We prove an inequality for polynomials applied in a symmetric way to non-commuting operators.
arxiv
Divisibility of LCM matrices by Totally nonnegative GCD matrices [PDF]
arXiv, 2020 In this paper, we show that all totally nonnegative GCD matrices are always divisors of the corresponding LCM matrices in the ring $\mathbb{M}_{n}(\mathbb{Z})$. We also introduce \lq\lq column monotone matrices" used to construct all totally nonegative GCD matrices.
arxiv
Bounds of numerical radius of bounded linear operator using $t$-Aluthge transform
, 2020 We develop a number of inequalities to obtain bounds for the numerical radius of a bounded linear operator defined on a complex Hilbert space using the properties of $t$-Aluthge transform.
bag, Santanu +2 more
core
A Note On The Spectral Norms of The Circulant Matrices Connected Integer Number Sequences [PDF]
arXiv, 2011 In this paper, we compute the spectral norms of the matrices related with integer squences and we give some example related with Fibonacci, Lucas, Pell and Perrin numbers.
arxiv
Positive matrices partitioned into a small number of Hermitian blocks [PDF]
arXiv, 2012 Positive semidefinite matrices partitioned into a small number of Hermitian blocks have a remarkable property.
arxiv