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Brezinski, C., Fika, P. and Mitrouli, M. (2012) Estimations of the Trace of Powers of Positive Self-Adjoint Operators by Extrapolation of the Moments. Electronic Transactions on Numerical Analysis, 39, 144-155.

has been cited by the following article:

• TITLE: Trace of Positive Integer Power of Real 2 × 2 Matrices

  AUTHORS: Jagdish Pahade, Manoj Jha

  KEYWORDS: Trace, Determinant, Matrix Multiplication

  JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.5 No.4, December 7, 2015

  ABSTRACT: The purpose of this paper is to discuss the theorems for the trace of any positive integer power of 2 × 2 real matrix. We obtain a new formula to compute trace of any positive integer power of 2 × 2 real matrix A, in the terms of Trace of A (TrA) and Determinant of A (DetA), which are based on definition of trace of matrix and multiplication of the matrixn times, where n is positive integer and this formula gives some corollary for TrAn when TrA or DetA are zero.