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Strictly Hermitian positive definite functions [PDF]
Journal D'Analyse Mathematique, 2004 Let H be any complex inner product space with inner product . We say that f : C -->C is Hermitian positive definite on H if the matrix $$(f())_{r,s=1}^n \eqno(*)$$ is Hermitian positive definite for all choice of z^1,...,z^n in H, all n. It is strictly Hermitian positive definite if the matrix (*) is also non-singular for any choice of distinct z^1,.
Allan Pinkus
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Evenly positive definite function of Hilbert space and some algebraic relationship
Математичні Студії, 2021 A generalization of P. A. Minlos, V. V. Sazonov’s theorem is proved in the case of bounded evenly positive definite function given in a Hilbert space.
O. V. Lopotko
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Positive Definiteness of Symmetric Rank 1 (H-Version) Update for Unconstrained Optimization
مجلة بغداد للعلوم, 2022 Several attempts have been made to modify the quasi-Newton condition in order to obtain rapid convergence with complete properties (symmetric and positive definite) of the inverse of Hessian matrix (second derivative of the objective function).
Saad Shakir Mahmood +2 more
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Positive definite functions and dual pairs of locally convex spaces [PDF]
Opuscula Mathematica, 2018 Using pairs of locally convex topological vector spaces in duality and topologies defined by directed families of sets bounded with respect to the duality, we prove general factorization theorems and general dilation theorems for operator-valued positive
Daniel Alpay, Saak Gabriyelyan
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Finite-Time Stability of a Second-Order Bang–Bang Sliding Control Type
Mathematics, 2022 This paper presents the double chain–integrator finite-time convergence in a closed loop with a second-order bang–bang sliding control. The direct Lyapunov method carried out the stability analysis and the reaching time estimation using a suitable non ...
Carlos Aguilar-Ibanez +4 more
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Stable positive definite functions [PDF]
Transactions of the American Mathematical Society, 1975 This paper investigates the stability of positive definite functions on locally compact groups under one parameter groups of automorphisms. As an application of this it is shown that the only probability distributions on
Parthasarathy, K. R., Schmidt, K.
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A New Slack Lyapunov Functional for Dynamical System with Time Delay
Mathematics, 2022 The traditional method of constructing a Lyapunov functional for dynamical systems with time delay is usually dependent on positive definite matrices in the quadratic form.
Can Zhao +3 more
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Positive Definite Norm Dependent Matrices In Stochastic Modeling
Demonstratio Mathematica, 2014 Positive definite norm dependent matrices are of interest in stochastic modeling of distance/norm dependent phenomena in nature. An example is the application of geostatistics in geographic information systems or mathematical analysis of varied spatial ...
Kuniewski Sebastian P. +1 more
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On the Positive Definiteness of a Functional [PDF]
Canadian Mathematical Bulletin, 1979 AbstractIn this note, we have shown that the set of conditions given by Gel'fand and Vilenkin for the positive definiteness of a functional L(ϕ) [1, Theorem 7, p. 285] though sufficient is not necessary, thereby providing an answer to an open problem posed by them [1, Theorem 7, p. 285].
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Science and Technology Indonesia, 2018 In this expository article we survey characterization of compound geometric distribution as the sum of gamma distribution. The characterization of this compound distribution is obtained by using the property of characteristic function as the Laplace ...
Darvi Mailisa Putri +2 more
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