Circulant matrices are a special class of structured matrices that underpin a diverse range of applications in mathematics and engineering. Characterised by the property that each row is a cyclic ...

Using for spin-3/2 matrices a direct-product structure involving the usual Pauli spin matrices, the authors derive the Dirac-Clifford matrices in terms of certain algebraic combinations of spin-3/2 ...

Abstract: Examines the realization matrix R=(A b; c d) defined by a state variable model of a linear, shift invariant, discrete time, scalar system. Several properties concerning the eigenvalues and ...

Abstract: We analyse several important properties of invariant pairs of nonlinear algebraic eigenvalue problems of the form T(λ)v=0. Invariant pairs are generalizations of invariant subspaces ...

The study of cospectral graphs lies at the heart of spectral graph theory, a discipline that bridges the combinatorial world of graph structures with the algebraic realm of linear algebra. This field ...

Quantum computing has attracted extensive attention due to its intrinsic parallel computation and physical realization. Quantum computing model is one of the most important problems in the field of ...