Exponentials of symmetric matrices through tridiagonal reductions

DOI10.1016/S0024-3795(98)00017-2zbMath0935.65039MaRDI QIDQ1307577

Ya Yan Lu

Publication date: 31 October 1999

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

algorithmmatrix exponentialChebyshev approximationtridiagonal reduction

Mathematics Subject Classification ID

Related Items

Exponential almost Runge-Kutta methods for semilinear problems ⋮ Talbot quadratures and rational approximations ⋮ Computing a matrix function for exponential integrators.

Uses Software

• Expokit
• LAPACK

Cites Work

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• Computing the matrix exponential and other matrix functions
• A Divide and Conquer method for the symmetric tridiagonal eigenproblem
• A self-validating numerical method for the matrix exponential
• Computing the logarithm of a symmetric positive definite matrix
• The Padé method for computing the matrix exponential
• Chebyshev rational approximations to \(e^{-x}\) in \([0,+\infty)\) and applications to heat-conduction problems
• On Higher Order Stable Implicit Methods for Solving Parabolic Partial Differential Equations
• On the calculation of matrix exponential
• EQUILIBRIUM DISTRIBUTIONS AND DEGREE OF RATIONAL APPROXIMATION OF ANALYTIC FUNCTIONS
• Efficient Solution of Parabolic Equations by Krylov Approximation Methods
• Numerical Computation of the Matrix Exponential with Accuracy Estimate
• The Sensitivity of the Matrix Exponential
• Nineteen Dubious Ways to Compute the Exponential of a Matrix
• A Padé Approximation Method for Square Roots of Symmetric Positive Definite Matrices
• Expokit

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