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Improved Cauchy radius for scalar and matrix polynomials
- Source :
- Proceedings of the American Mathematical Society. 146:613-624
- Publication Year :
- 2017
- Publisher :
- American Mathematical Society (AMS), 2017.
-
Abstract
- We improve the Cauchy radius of both scalar and matrix polynomials, which is an upper bound on the moduli of the zeros and eigenvalues, respectively, by using appropriate polynomial multipliers.<br />Comment: 12 pages
- Subjects :
- Polynomial
Applied Mathematics
General Mathematics
Mathematical analysis
Scalar (mathematics)
0211 other engineering and technologies
Cauchy distribution
021107 urban & regional planning
Numerical Analysis (math.NA)
010103 numerical & computational mathematics
02 engineering and technology
30C15, 47A56, 65F15
01 natural sciences
Upper and lower bounds
Moduli
Matrix polynomial
Multiplier (Fourier analysis)
Mathematics - Classical Analysis and ODEs
Classical Analysis and ODEs (math.CA)
FOS: Mathematics
Mathematics - Numerical Analysis
0101 mathematics
Eigenvalues and eigenvectors
Mathematics
Subjects
Details
- ISSN :
- 10886826 and 00029939
- Volume :
- 146
- Database :
- OpenAIRE
- Journal :
- Proceedings of the American Mathematical Society
- Accession number :
- edsair.doi.dedup.....c254b7c15db7eedb008400b8ab28463a
- Full Text :
- https://doi.org/10.1090/proc/13826