Generalized Leibniz functional matrices and factorizations of some well-known matrices |
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Authors: | Yongzhi Yang |
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Institution: | Department of Mathematics, University of St. Thomas, 2115 Summit Avenue, St. Paul, MN 55105-1079, USA |
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Abstract: | In this paper, we introduce the generalized Leibniz functional matrices and study some algebraic properties of such matrices. To demonstrate applications of these properties, we derive several novel factorization forms of some well-known matrices, such as the complete symmetric polynomial matrix and the elementary symmetric polynomial matrix. In addition, by applying factorizations of the generalized Leibniz functional matrices, we redevelop the known results of factorizations of Stirling matrices of the first and second kind and the generalized Pascal matrix. |
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Keywords: | 15A15 15A23 |
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