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A self-validating numerical method for the matrix exponential

https://doi.org/10.1007/bf02243806
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-7091-7023-6_1openalex-snapshot
The Defect Correction Approach
inferredcites →https://doi.org/10.1007/bf02253892openalex-snapshot
Least significant bit evaluation of arithmetic expressions in single-precision
inferredcites →https://doi.org/10.1007/bf02260501openalex-snapshot
Accurate arithmetic results for decimal data on non-decimal computers
inferredcites →https://doi.org/10.1007/bfb0099525openalex-snapshot
Sequential defect correction for high-accuracy floating-point algorithms
inferredcites →https://doi.org/10.1016/b978-0-12-428650-4.50009-9openalex-snapshot
INTERVAL ARITHMETIC
inferredcites →https://doi.org/10.1016/c2013-0-11018-5openalex-snapshot
Computer Arithmetic in Theory and Practice
inferredcites →https://doi.org/10.1137/0714039openalex-snapshot
Numerical Computation of the Matrix Exponential with Accuracy Estimate
inferredcites →https://doi.org/10.1137/1.9781611970906openalex-snapshot
Methods and Applications of Interval Analysis
inferredcites →https://doi.org/10.1137/1020098openalex-snapshot
Nineteen Dubious Ways to Compute the Exponential of a Matrix

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-540-24588-9_25openalex-snapshot
Higher Order Approximations of Affinely Controlled Nonlinear Systems
inferred← citeshttps://doi.org/10.1007/978-3-642-31424-7_27openalex-snapshot
Timed Relational Abstractions for Sampled Data Control Systems
inferred← citeshttps://doi.org/10.1007/bf02247884openalex-snapshot
Simultaneous self-verified computation of exp (A) and ∫ 0 1 exp (As) dsexp (As) ds
inferred← citeshttps://doi.org/10.1007/s10444-018-9609-5openalex-snapshot
Verified computation of the matrix exponential
inferred← citeshttps://doi.org/10.1007/s10915-021-01447-6openalex-snapshot
Computing Enclosures for the Matrix Mittag–Leffler Function
inferred← citeshttps://doi.org/10.1007/s12008-014-0210-yopenalex-snapshot
Evaluation of the effectiveness of the interval computation method to simulate the dynamic behavior of subdefinite system: application on an active suspension system
inferred← citeshttps://doi.org/10.1016/b978-0-12-708245-5.50014-2openalex-snapshot
Validated Solution of Initial Value Problems for ODE
inferred← citeshttps://doi.org/10.1016/j.amc.2023.128055openalex-snapshot
Fast verified computation for real powers of large matrices with Kronecker structure
inferred← citeshttps://doi.org/10.1016/j.cam.2021.113431openalex-snapshot
Verified computation of real powers of matrices
inferred← citeshttps://doi.org/10.1016/s0024-3795(98)00017-2openalex-snapshot
Exponentials of symmetric matrices through tridiagonal reductions
inferred← citeshttps://doi.org/10.1016/s0076-5392(08)62850-7openalex-snapshot
Interval Arithmetic in Staggered Correction Format
inferred← citeshttps://doi.org/10.1016/s0076-5392(08)62857-xopenalex-snapshot
Bibliography on Enclosure Methods and Related Topics
inferred← citeshttps://doi.org/10.1023/b:reom.0000032119.66122.e5openalex-snapshot
Application of Functional Intervals to the Response Evaluation of Linear Time-Invariant Systems with Fuzzy Input
inferred← citeshttps://doi.org/10.1080/03081087.2020.1757602openalex-snapshot
Verified computation of matrix gamma function
inferred← citeshttps://doi.org/10.1109/mecatronics.2012.6450991openalex-snapshot
Effectiveness of an interval computation approach to the dynamic simulation of a MacPherson Suspension system
inferred← citeshttps://doi.org/10.1109/scan.2006.38openalex-snapshot
Rigorous Inner Approximation of the Range of Functions
inferred← citeshttps://doi.org/10.1137/120894294openalex-snapshot
Aggressively Truncated Taylor Series Method for Accurate Computation of Exponentials of Essentially Nonnegative Matrices
inferred← citeshttps://doi.org/10.1137/19m1263431openalex-snapshot
Computing Enclosures for the Matrix Exponential
inferred← citeshttps://doi.org/10.1137/s00361445024180openalex-snapshot
Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
inferred← citeshttps://doi.org/10.48550/arxiv.0908.3954openalex-snapshot
On the Exponentiation of Interval Matrices
inferred← citeshttps://doi.org/10.70675/4bce2621z1365z4018zbc29z71c330e89d1aopenalex-snapshot
Contribution à la prise en compte d'exigences dynamiques en conception préliminaire de systèmes complexes
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