One Type of Symmetric Matrix with Harmonic Pell Entries, Its Inversion, Permanents and Some Norms

The Pell numbers, named after the English diplomat and mathematician John Pell, are studied by many authors. At this work, inspiring definition harmonic we define numbers. Moreover, construct one type of symmetric matrix family whose elements numbers its Hadamard exponential matrix. We investigate some linear algebraic properties obtain inequalities using norms. Furthermore, summation identities for obtained. Finally, give a MATLAB-R2016a code which writes with entries calculates norms bounds