Iterative solution of spectral operator polynomial equations and a related continued fraction

DOI10.1016/0022-247X(75)90042-6zbMath0304.47015MaRDI QIDQ1216830

Wyman Fair, Robert C. Busby

Publication date: 1975

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Equations and inequalities involving linear operators, with vector unknowns (47A50) Continued fractions; complex-analytic aspects (30B70) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Convergence and divergence of continued fractions (40A15) Canonical forms, reductions, classification (15A21)

Related Items

Quadratic operator equations and periodic operator continued fractions, A fundamental theorem on lambda-matrices with applications. II: Difference equations with constant coefficients, A generalization of a theorem of Pringsheim

Cites Work

• On eigenvalues of matrices dependent on a parameter
• Continued fractions whose coefficients obey a non-commutative law of multiplication
• Some applications of the Newton—Raphson method to non-linear matrix problems
• Noncommutative Continued Fractions
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