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Random Double Tensors Integrals
Annals of Applied Mathematics, 2023Summary: In this work, we try to build a theory for random double tensor integrals (DTI). We begin with the definition of DTI and discuss how randomness structure is built upon DTI. Then, the tail bound of the unitarily invariant norm for the random DTI is established and this bound can help us to derive tail bounds of the unitarily invariant norm for ...
Chang, Shih Yu, Wei, Yimin
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2022
In the present chapter we present the main technical tool of our approach: double operator integrals (DOIs). Double operator integrals are a tool for handling the differential calculus of multivariable functions of operators. This machinery is crucial in our approach and many aspects of the theory rely on this technique.
Alan Carey, Galina Levitina
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In the present chapter we present the main technical tool of our approach: double operator integrals (DOIs). Double operator integrals are a tool for handling the differential calculus of multivariable functions of operators. This machinery is crucial in our approach and many aspects of the theory rely on this technique.
Alan Carey, Galina Levitina
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Doubling Transformations and Definite Integrals
International Journal of Applied and Computational Mathematics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cochrane, Todd, Goldstein, Lee
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2015
A double integrator is a dynamical model for a wide variety of physical systems. This includes a mass moving in one dimension and an object rotating around a shaft. It represents a broad class of systems with two states. In this chapter, you will learn how to model a double integrator and how to control it.
Michael Paluszek, Stephanie Thomas
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A double integrator is a dynamical model for a wide variety of physical systems. This includes a mass moving in one dimension and an object rotating around a shaft. It represents a broad class of systems with two states. In this chapter, you will learn how to model a double integrator and how to control it.
Michael Paluszek, Stephanie Thomas
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2019
The concept of a double operator integral on \({\mathcal {B}}({\mathcal {H}})\) was first introduced by Daletskii and Krein (Trudy Sem Functsion Anal Voronezh Gos Univ 1:81–105, 1956). They launched this theory in order to compute the derivative of the function t↦f(A(t)), where {A(t)}t is a family of bounded self-adjoint operators depending on the ...
Anna Skripka, Anna Tomskova
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The concept of a double operator integral on \({\mathcal {B}}({\mathcal {H}})\) was first introduced by Daletskii and Krein (Trudy Sem Functsion Anal Voronezh Gos Univ 1:81–105, 1956). They launched this theory in order to compute the derivative of the function t↦f(A(t)), where {A(t)}t is a family of bounded self-adjoint operators depending on the ...
Anna Skripka, Anna Tomskova
openaire +1 more source