Convergence of Newton-like methods for singular operator equations using outer inverses

M. Z. Nashed; X. Chen

doi:10.1007/bf01385696

Convergence of Newton-like methods for singular operator equations using outer inverses

Numerische Mathematik ◽

10.1007/bf01385696 ◽

1993 ◽

Vol 66 (1) ◽

pp. 235-257 ◽

Cited By ~ 112

Author(s):

M. Z. Nashed ◽

X. Chen

Keyword(s):

Singular Operator ◽

Operator Equations

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CONVERGENT FACTORIAL SERIES SOLUTIONS OF SINGULAR OPERATOR EQUATIONS

Analysis ◽

10.1524/anly.1990.10.23.99 ◽

1990 ◽

Vol 10 (2-3) ◽

Author(s):

GERARD R. ◽

D.A. LUTZ

Keyword(s):

Singular Operator ◽

Series Solutions ◽

Operator Equations ◽

Factorial Series

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Generalized Inverses, Normal Solvability, and Iteration for Singular Operator Equations

Nonlinear Functional Analysis and Applications ◽

10.1016/b978-0-12-576350-9.50007-2 ◽

1971 ◽

pp. 311-359 ◽

Cited By ~ 52

Author(s):

M.Z. NASHED

Keyword(s):

Generalized Inverses ◽

Singular Operator ◽

Operator Equations ◽

Normal Solvability

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Direct iterative methods for least-squares solutions to singular operator equations

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(75)90194-8 ◽

1975 ◽

Vol 49 (2) ◽

pp. 512-526 ◽

Cited By ~ 15

Author(s):

W.J Kammerer ◽

R.J Plemmons

Keyword(s):

Least Squares ◽

Iterative Methods ◽

Singular Operator ◽

Operator Equations

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Splittings and iterative methods for approximate solutions to singular operator equations in Hilbert spaces

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(78)90126-9 ◽

1978 ◽

Vol 62 (2) ◽

pp. 272-294 ◽

Cited By ~ 3

Author(s):

S.P. Gudder ◽

M. Neumann

Keyword(s):

Iterative Methods ◽

Hilbert Spaces ◽

Approximate Solutions ◽

Singular Operator ◽

Operator Equations

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Application of the Leray–Schauder alternative to nonlinear singular operator equations

Nonlinear Analysis ◽

10.1016/j.na.2009.01.015 ◽

2009 ◽

Vol 71 (5-6) ◽

pp. 1807-1811

Author(s):

Ishak Altun ◽

Kerim Koca

Keyword(s):

Singular Operator ◽

Operator Equations

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On Homogenization of Controlled Objects Described by Operator Equations of Hammerstein Type

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v35.i11.30 ◽

2003 ◽

Vol 35 (11) ◽

pp. 19-27

Author(s):

Victor N. Mizernyi ◽

Peter I. Kogut ◽

Tatyana N. Rudyanova

Keyword(s):

Operator Equations

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Regularization of Plants Described by Nonlinear Non-Coercive Hammerstein-Type Operator Equations

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v31.i1-3.280 ◽

1999 ◽

Vol 31 (1-3) ◽

pp. 60-67

Author(s):

D. E. Akbarov

Keyword(s):

Type Operator ◽

Operator Equations

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Some Theorems of Solvability for a Class of g-Comparable Operator Equations

Acta Analysis Functionalis Applicata ◽

10.3724/sp.j.1160.2012.00338 ◽

2012 ◽

Vol 14 (4) ◽

pp. 338

Author(s):

Jiandong YIN ◽

Ting GUO

Keyword(s):

Operator Equations

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Solvability of a Boundary Value Problem for Elliptic Differential-Operator Equations of the Second Order with a Quadratic Complex Parameter

Differential Equations ◽

10.1134/s00122661200100079 ◽

2020 ◽

Vol 56 (10) ◽

pp. 1306-1317

Author(s):

B. A. Aliev ◽

V. Z. Kerimov ◽

Ya. S. Yakubov

Keyword(s):

Differential Operator ◽

Boundary Value Problem ◽

Boundary Value ◽

Second Order ◽

Complex Parameter ◽

Elliptic Differential Operator ◽

Operator Equations ◽

Quadratic Complex

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Convergence rates of approximate least squares solutions of linear integral and operator equations of the first kind

Mathematics of Computation ◽

10.1090/s0025-5718-1974-0461895-1 ◽

1974 ◽

Vol 28 (125) ◽

pp. 69-69 ◽

Cited By ~ 71

Author(s):

M. Z. Nashed ◽

Grace Wahba

Keyword(s):

Least Squares ◽

Convergence Rates ◽

Operator Equations ◽

Linear Integral

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