In this paper we derive a general expression for integer powers of real upper and lower anti-bidiagonal matrices with constant anti-diagonals using Chebyshev polynomials. An explicit formula for the inverse of these matrices is also provided.
机构:
Kaunas Univ Technol, Dept Appl Math, Fac Fundamental Sci, LT-51368 Kaunas, LithuaniaKaunas Univ Technol, Dept Appl Math, Fac Fundamental Sci, LT-51368 Kaunas, Lithuania
机构:
Kaunas Univ Technol, Fac Fundamental Sci, Dept Appl Math, LT-51368 Kaunas, LithuaniaKaunas Univ Technol, Fac Fundamental Sci, Dept Appl Math, LT-51368 Kaunas, Lithuania
机构:
Kaunas Univ Technol, Fac Fundamental Sci, Dept Appl Math, LT-51368 Kaunas, LithuaniaKaunas Univ Technol, Fac Fundamental Sci, Dept Appl Math, LT-51368 Kaunas, Lithuania