Aggressively Truncated Taylor Series Method for Accurate Computation of Exponentials of Essentially Nonnegative Matrices

DOI10.1137/120894294zbMath1309.65051OpenAlexW2015216402MaRDI QIDQ2923346

Jungong Xue, Weiguo Gao, MeiYue Shao

Publication date: 15 October 2014

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/07282a3bff877fca0e3cfdd30d712ec76f894a1c

zbMATH Keywords

algorithmmatrix exponentialscaling and squaringessentially nonnegative matrixcomponentwise relative error boundsTalor series

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Numerical computation of matrix exponential and similar matrix functions (65F60)

Related Items (4)

Computing the exponential of large block-triangular block-Toeplitz matrices encountered in fluid queues ⋮ Computing Enclosures for the Matrix Exponential ⋮ Matrix Arithmetic-Geometric Mean and the Computation of the Logarithm ⋮ Componentwise accurate fluid queue computations using doubling algorithms

Uses Software

• mctoolbox
• CONTEST

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