Results 11 to 20 of about 3,527 (75)
A fast solver for linear systems with displacement structure
, 2010 We describe a fast solver for linear systems with reconstructable Cauchy-like structure, which requires O(rn^2) floating point operations and O(rn) memory locations, where n is the size of the matrix and r its displacement rank.
Arico', Antonio, Rodriguez, Giuseppe
core +1 more source
A Limit Theorem for Shifted Schur Measures
, 2002 To each partition $\lambda$ with distinct parts we assign the probability $Q_\lambda(x) P_\lambda(y)/Z$ where $Q_\lambda$ and $P_\lambda$ are the Schur $Q$-functions and $Z$ is a normalization constant.
Tracy, Craig A., Widom, Harold
core +4 more sources
Accurate and Efficient Expression Evaluation and Linear Algebra
, 2007 We survey and unify recent results on the existence of accurate algorithms for evaluating multivariate polynomials, and more generally for accurate numerical linear algebra with structured matrices.
Aho +17 more
core +3 more sources
On unitarily invariant norms of matrix-valued linear positive operators
Journal of Inequalities and Applications, 2002 In this paper we prove several inequalities concerning invariant norms of matrices belonging to the range of some matrix-valued Linear Positive Operator (LPO).
Tilli Paolo, Capizzano Stefano Serra
doaj
On special matrices related to Cauchy and Toeplitz matrices
, 2019 In this paper, we are going to calculate the determinant of a certain type of square matrices, which are related to the well-known Cauchy and Toeplitz matrices. Then, we will use the results to determine the rank of special non-square matrices.
openaire +2 more sources
An equilibrium problem for the limiting eigenvalue distribution of rational Toeplitz matrices [PDF]
, 2009 We consider the asymptotic behavior of the eigenvalues of Toeplitz matrices with rational symbol as the size of the matrix goes to infinity. Our main result is that the weak limit of the normalized eigenvalue counting measure is a particular component of
Delvaux, Steven, Duits, Maurice
core +1 more source
On the spectral norm of a random Toeplitz matrix
, 2007 Suppose that $T_n$ is a Toeplitz matrix whose entries come from a sequence of independent but not necessarily identically distributed random variables with mean zero.
Meckes, Mark W.
core +2 more sources
Fast Algorithms for Displacement and Low-Rank Structured Matrices
, 2018 This tutorial provides an introduction to the development of fast matrix algorithms based on the notions of displacement and various low-rank ...
Chandrasekaran Shivkumar +3 more
core +1 more source
Matrix models and stochastic growth in Donaldson-Thomas theory
, 2012 We show that the partition functions which enumerate Donaldson-Thomas invariants of local toric Calabi-Yau threefolds without compact divisors can be expressed in terms of specializations of the Schur measure.
Szabo, Richard J., Tierz, Miguel
core +1 more source
Tau functions as Widom constants
, 2017 We define a tau function for a generic Riemann-Hilbert problem posed on a union of non-intersecting smooth closed curves with jump matrices analytic in their neighborhood.
Chang-Duk Jun +7 more
core +2 more sources