A theory of composites perspective on matrix valued Stieltjes functions

DOI10.1016/j.exmath.2022.12.005OpenAlexW4316194118MaRDI QIDQ2695000

Mihai Putinar, Graeme Walter Milton

Publication date: 30 March 2023

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.02926

zbMATH Keywords

Stieltjes transformNevanlinna functionvolume fractioncomposite materialcontinued fractioneffective conductivity

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Random materials and composite materials (74A40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Moment problems and interpolation problems in the complex plane (30E05) Continued fractions; complex-analytic aspects (30B70)

Cites Work

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• Matrix continued fractions
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• Stieltjes continued fraction and QD algorithm: scalar, vector, and matrix cases
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• The Elastic Moduli of Heterogeneous Materials
• A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
• Modelling the effective conductivity function of an arbitrary two–dimensional polycrystal using sequential laminates
• The Theory of Composites
• Boundary Value Problems, Weyl Functions, and Differential Operators
• A Theorem on the Conductivity of a Composite Medium
• The Degree of a Rational Matrix Function

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