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The Padé iterations for the matrix sign function and their reciprocals are optimal

✍ Scribed by Federico Greco; Bruno Iannazzo; Federico Poloni


Book ID
113771930
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
200 KB
Volume
436
Category
Article
ISSN
0024-3795

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Further optimized look-ahead recurrences
✍ Marlis Hochbruck 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 982 KB

In a recent paper, we introduced a new look-ahead algorithm for recursively computing Pad6 approximants. This algorithm generates a subsequence of the Pad6 approximants on two adjacent rows (defined by fixed numerator degree) of the Pad6 table. Its two basic versions reduce to the classical Levinson