Efficient orthogonal matrix polynomial based method for computing matrix exponential
From MaRDI portal
Publication:632884
DOI10.1016/j.amc.2011.01.004zbMath1211.65052OpenAlexW2095714075MaRDI QIDQ632884
Jorge Sastre, Pedro A. Ruiz, Emilio Defez, Jacinto-Javier Ibáñez
Publication date: 28 March 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10251/34930
algorithmsnumerical exampleserror analysismatrix exponentialHermite matrix polynomial approximationmatrix polynomial evaluation
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (15)
On-the-fly backward error estimate for matrix exponential approximation by Taylor algorithm ⋮ Efficient and accurate algorithms for computing matrix trigonometric functions ⋮ Efficient and accurate computation for the \(\varphi\)-functions arising from exponential integrators ⋮ Efficient mixed rational and polynomial approximation of matrix functions ⋮ Accurate matrix exponential computation to solve coupled differential models in engineering ⋮ Euler polynomials for the matrix exponential approximation ⋮ Efficient computation of the matrix cosine ⋮ Computing Enclosures for the Matrix Exponential ⋮ A new type of Hermite matrix polynomial series ⋮ A new efficient and accurate spline algorithm for the matrix exponential computation ⋮ An efficient and accurate algorithm for computing the matrix cosine based on new Hermite approximations ⋮ Solving engineering models using hyperbolic matrix functions ⋮ On Bernoulli matrix polynomials and matrix exponential approximation ⋮ On the backward and forward error of approximations of analytic functions and applications to the computation of matrix functions ⋮ A Rodrigues-type formula for Gegenbauer matrix polynomials
Uses Software
Cites Work
- Fast projection methods for minimal design problems in linear system theory
- Some applications of the Hermite matrix polynomials series expansions
- Computing a matrix function for exponential integrators.
- Derivatives of the matrix exponential and their computation
- Padé approximation for the exponential of a block triangular matrix
- A practical method for computing the exponential of a matrix and its integral
- A New Scaling and Squaring Algorithm for the Matrix Exponential
- Numerical Computation of the Matrix Exponential with Accuracy Estimate
- Nineteen Dubious Ways to Compute the Exponential of a Matrix
- A Schur--Fréchet Algorithm for Computing the Logarithm and Exponential of a Matrix
- Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
- A Schur-Parlett Algorithm for Computing Matrix Functions
- Accuracy and Stability of Numerical Algorithms
- The Scaling and Squaring Method for the Matrix Exponential Revisited
- Functions of Matrices
- On the Number of Nonscalar Multiplications Necessary to Evaluate Polynomials
- Benchmarking optimization software with performance profiles.
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Efficient orthogonal matrix polynomial based method for computing matrix exponential