Positive Definite Matrix: A symmetric (or Hermitian) matrix with all eigenvalues positive, ensuring properties such as stability and invertibility. Geodesic Distance: ...

The Academic Staff Union of Universities (ASUU) at Akwa Ibom State University (AKSU) has commenced an indefinite strike following prolonged disputes over unpaid salaries, allowances, and the ...

Families from the communities of Naikkar, Kurumar, and Alar, residing in Nilambur, Akampadam, Idivanna, Mailadi, and Pottu Kallumbu are participating in the strike ...

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We first present a new method of determining the upper bounds of maximal eigenvalue of Hermitian positive-definite matrix, which includes the Dembo's (1988) upper bound as a special case. Then we ...

Easily computable bounds on the extreme eigenvalues of positive semidefinite (PSD) Toeplitz matrices are presented. The bounds are especially suitable for matrices of relatively small dimension. The ...

A position-dependent mass matrix in molecular dynamics (MD) was introduced by Bennet and further examined by Tsuchida. The resulting method is called mass tensor molecular dynamics (MTMD), where the ...

As an application, we show that for 2 n × 2 n real positive definite matrices the symplectic eigenvalues d j, under some special conditions, satisfy the inequality d j (A + B) ≥ d j (A) + d 1 (B).

Molecular junctions offer significant potential for enhancing thermoelectric power generation. Quantum interference effects and associated sharp features in electron transmission are expected to ...