Substitution algorithms for rational matrix equations

DOI10.1553/etna_vol53s500zbMath1448.65033OpenAlexW2950418303MaRDI QIDQ2203384

Massimiliano Fasi, Bruno Iannazzo

Publication date: 6 October 2020

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol53/abstract.php?vol=53&pages=500-521

zbMATH Keywords

primary matrix functionPaterson-Stockmeyer schemepowering techniquerational function evaluationrational matrix equation

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Numerical methods for matrix equations (65F45)

Related Items (1)

Solutions of the matrix equation \(p(X)=A\), with polynomial function \(p(\lambda)\) over field extensions of \(\mathbb{Q}\)

Uses Software

• mctoolbox
• Algorithm 432

Cites Work

• Unnamed Item
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• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
• Functions of Matrices
• On the Number of Nonscalar Multiplications Necessary to Evaluate Polynomials
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• A binary powering Schur algorithm for computing primary matrix roots

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