Interpolation Polynomials and Linear Algebra

2022/02/26 by Askold Khovanskiĭ, Sushil Singla, Khovanskii, Askold +3
Mathematics · Computer Science · #Advanced Topics in Algebra #Matrix Theory and Algorithms #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2203.01822

Abstract

We reconsider the theory of Lagrange interpolation polynomials with multiple interpolation points and apply it to linear algebra. For instance, A be a linear operator satisfying a degree n polynomial equation P(A)=0. One can see that the evaluation of a meromorphic function F at A is equal to Q(A), where Q is the degree

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