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**publisher and metadata sources**).Let A and B be complex matrices of same dimension. Given their eigen- values and singular values, we survey and further develop simple inequalities for eigenvalues and singular values of A + B, AB ,a… Continue Reading

Abstract The spread of an n×n matrix A with eigenvalues λ1,…,λn is defined by spr A = max j,k |λ j −λ k |. We prove that if A is normal, then spr A = max | x * Ax − y * Ay | | x , y ∈ C n ,∥ x ∥=∥ y… Continue Reading

Abstract Let A be a complex n × n matrix. We find lower bounds for its numerical radius r ( A ) = max { | x ∗ Ax | ∣ x ∈ C n , x ∗ x = 1 } . First we choose x satisfying x∗x = 1 and compute ∣x∗Ax∣.… Continue Reading

Abstract Let A be an n × n matrix with singular values σ 1 ⩾ ⋯ ⩾ σ n . If 1 ⩽ r ⩽ n , then σ r = min H ∈ S r ‖ H ‖ , where S r is the set of n × n matrices H such that rank( A + H ) ⩽ r … Continue Reading

The production of high energy beams of neutron/proton rich nuclei by the projectile fragmentations in high energy heavy-ion collisions was the beginning of new era in the field of nuclear physics.… Continue Reading

The single proton breakup through stripping and diffraction reactions from weakly bound state in an exotic nucleus ( 8 B) on a heavy target (Pb) at 72 AMeV energy have been studied. In order to… Continue Reading

1 October 2019

Abstract Here, we present a comprehensive analysis of fusion reaction data induced by weakly bound nuclei 6,7Li on medium and heavy mass targets 64Ni, 152Sm and 209Bi at around Coulomb barrier… Continue Reading