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

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 ...

2D Case,Control Capacity,Control Strategy,Control System,Definite Matrix,Diagonal Matrix,Dimensional Systems,Dynamic Programming,Eigenvalues Of System,Gain Matrix ...

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).

Machine learning for multivariate data through the Riemannian geometry of positive definite matrices in Python python machine-learning statistics time-series signal-processing image-processing eeg ...

This paper aims to generate a Liouville integrable Hamiltonian hierarchy by introducing a specific matrix eigenvalue problem with four components. The adopted approach is the zero curvature formula ...