Matrix Theory - Applications and Theorems 2018
DOI: 10.5772/intechopen.74356
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Matrices Which are Discrete Versions of Linear Operations

Abstract: We introduce and study a matrix which has the exponential function as one of its eigenvectors. We realize that this matrix represents a set of finite differences derivation of vectors on a partition. This matrix leads to new expressions for finite differences derivatives which are exact for the exponential function. We find some properties of this matrix, the induced derivatives and of its inverse. We provide an expression for the derivative of a product, of a ratio, of the inverse of vectors, and we also find… Show more

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