Tomohiro Sogabe

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Keywords: Elementary symmetric polynomials Complete symmetric polynomials Power sum symmetric polynomials Matrices Determinant LU factorization Stirling numbers a b s t r a c t This paper presents some applications using several properties of three important symmetric polynomials: elementary symmetric polynomials, complete symmetric polynomials and the(More)
Keywords: k-tridiagonal matrix Block diagonalizations Generalized k-Fibonacci numbers Determinant Finite field General linear group a b s t r a c t In the present paper, we give a fast algorithm for block diagonalization of k-tridiagonal matrices. The block diagonalization provides us with some useful results: e.g., another derivation of a very recent(More)