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Newton’s Method and Frobenius–Dieudonné Theorem in Nonnormable Spaces (1997)

Min, K. C. ; Nel, L. D.

Springer

Applied categorical structures 5 (1997), S. 205-216

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ISSN: 1572-9095

Schlagwort(e): Newton’s method ; nonnormable spaces ; nonlinear operators ; nonlinear equations

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract We establish, via auxiliary categories, a version of Newton’s method applicable to nonnormable spaces. We illustrate it with an application to perturbation of functional equations on unbounded domains. Under suitable conditions, the known solution of the unperturbed equation initiates a sequence of Newton iterates that converges to the solution of the perturbed equation. The conditions posed are those required to make Newton’s method work. We also generalize the Frobenius–Dieudonné existence-uniqueness theorem for initial value problems for a vector variable.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1023/A:1008690318367

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Photon correlation spectroscopy of polymer solutions (1983)

Cha, C. Y. ; Min, K. W.

New York : Wiley-Blackwell

Journal of Polymer Science: Polymer Physics Edition 21 (1983), S. 807-820

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ISSN: 0098-1273

Schlagwort(e): Physics ; Polymer and Materials Science

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Chemie und Pharmazie , Physik

Notizen: A polynomial subdistribution method for analyzing the correlation profile in photon correlation spectroscopy of polymer solutions is described. This method generates a continuous distribution function from the measured photoelectron time-correlation function, which can be related to particle size or molecular weight distribution of solute. The method is tested using simulated data for unimodal and bimodal distributions and compared with cumulant and histogram methods, respectively. The polynomial subdistribution method has an advantage in that it not only generates a continuous distribution curve but also works well for bimodal distributions whose peaks are close together.

Zusätzliches Material: 3 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/pol.1983.180210510

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Photon correlation spectroscopy of polymer solutions: Improved subdistribution method (1984)

Cha, C. Y. ; Min, K. W.

New York : Wiley-Blackwell

Journal of Polymer Science: Polymer Physics Edition 22 (1984), S. 307-310

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ISSN: 0098-1273

Schlagwort(e): Physics ; Polymer and Materials Science

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Chemie und Pharmazie , Physik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/pol.1984.180220215

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Photon correlation spectroscopy of polymer solutions (1981)

Cha, C. Y. ; Min, K. W.

New York : Wiley-Blackwell

Journal of Polymer Science: Polymer Physics Edition 19 (1981), S. 1471-1473

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ISSN: 0098-1273

Schlagwort(e): Physics ; Polymer and Materials Science

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Chemie und Pharmazie , Physik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/pol.1981.180190918

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