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A refined Lanczos method for computing eigenvalues and eigenvectors of unsymmetric matrices Jean Christophe Tremblay and Tucker Carrington Chemistry Department Queen’s…

Chapter 10 Eigenvalues and Singular Values This chapter is about eigenvalues and singular values of matrices Computational algorithms and sensitivity to perburbations are…

Matrix polynomials generalized Jacobians and graphical zonotopes Anton Izosimov∗ Abstract A matrix polynomial is a polynomial in a complex variable λ with coefficients…

A CLASS OF LITTLEWOOD POLYNOMIALS ) el Houcein el Abdalaoui1 1Department of Mathematics, Normandy University of Rouen, LMRS UMR 6085 CNRS, FRANCE 2Department of Mathematics,

Journal de Théorie des Nombres de Bordeaux 17 2005 801–823 On coefficient valuations of Eisenstein polynomials par Matthias KÜNZER et Eduard WIRSING Résumé Soit…

Computing modular polynomials with the Chinese Remainder Theorem Andrew V Sutherland Massachusetts Institute of Technology ECC 2009 Reinier Bröker Kristin Lauter Andrew…

Mathematische Math Arm 261 515-534 1982 ΑΙΗΗΐΙβη © Springer Verlag 1982 Factoring Polynomials with Rational Coefficients A K Lenstra1 H W Lenstra Jr 2 and L Lovasz3…

Subresultants of x− αm and x− βn Jacobi polynomials and complexity A Bostan Inria Université Paris-Saclay 1 rue Honoré d’Estienne d’Orves 91120 Palaiseau France…

Calculating cyclotomic polynomials Andrew Arnold ada26@sfuca Michael Monagan mmonagan@cecmsfuca July 17 2008 Abstract We present two algorithms to calculate Φnz the nth…

8.1 Eigenvectors and Eigenvalues of a Linear Map Given a finite-dimensional vector space E, let f : E → E be any linear map. If, by luck, there is a basis (e1, . . .

Chapter 10 Eigenvalues and Singular Values This chapter is about eigenvalues and singular values of matrices Computational algorithms and sensitivity to perburbations are…

GG303 Lab 9 10/27/08 1 Stephen Martel Lab9-1 University of Hawaii EIGENVECTORS, EIGENVALUES, AND FINITE STRAIN I Main Topics A Motivation B Inverse and determinant of a matrix…

Methods for primitive and normal polynomials Stephen D Cohen University of Glasgow Fields-Carleton Finite Fields Workshop Ottawa, 21 July, 2010 Preliminaries Throughout Fq…

String-orthogonal polynomials String Equations and Two-Toda Symmetries∗ M Adler† P van Moerbeke‡ Table of contents: 1 The 2-Toda lattice and its generic symmetries…

� � Certi�ed solutions of polynomials with uncertainties David Daney Jean Pierre Merlet Odile Pourtallier Coprin team INRIA Sophia Antipolis Méditerranée December…

Mathematische Math Arm 261 515-534 1982 ΑΙΗΗΐΙβη © Springer Verlag 1982 Factoring Polynomials with Rational Coefficients A K Lenstra1 H W Lenstra Jr 2 and L Lovasz3…

The kissing polynomials and their Hankel determinants Alfredo Deaño Daan Huybrechs and Arieh Iserles April 28 2015 Abstract We study a family of polynomials that are orthogonal…

Negative eigenvalues of Schrödinger operators Alexander Grigor’yan University of Bielefeld Nantes February-March 2015 Contents 1 Upper estimate in Rn n ≥ 3 2 11 Introduction…

LEARNING POLYNOMIALS WITH QUERIES: THE HIGHLY NOISY CASE∗ ODED GOLDREICH† RONITT RUBINFELD‡ AND MADHU SUDAN§ Abstract Given a function f mapping n-variate inputs from…

DIGRAPHS AND CYCLE POLYNOMIALS FOR FREE-BY-CYCLIC GROUPS YAEL ALGOM-KFIR ERIKO HIRONAKA AND KASRA RAFI Abstract Let φ ∈ OutFn be a free group outer automorphism that can…