eigenvalues and eigenfunctions
Asymptotic Distributions of Estimators of Eigenvalues and Eigenfunctions in Functional Data
... estimators eigenvalues and eigenfunctions, providing not only a new understanding of the effects of truncating to a finite number of principal components, but also pointing to new methodology, such as ...
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Qualitative analysis of eigenvalues and eigenfunctions of one boundary value-transmission problem
... of eigenvalues and corresponding eigenfunctions of one Sturm-Liouville problem with an interior singular ...of eigenvalues for the considered boundary value-transmission problem ...
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On calculation of eigenvalues and eigenfunctions of a Sturm Liouville type problem with retarded argument which contains a spectral parameter in the boundary condition
... 4 Conclusion In this study, first, we obtain asymptotic formulas for eigenvalues and eigenfunctions for discontinuous boundary-value problem with retarded argument which contains a spect[r] ...
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Accurate Asymptotic Formulas for Eigenvalues and Eigenfunctions of a Boundary-Value Problem of Fourth Order
... The paper is organized as follows. In Section 2, we compute new asymptotic expression of the fundamental solutions of 1.1. In Section 3, we obtain new accurate asymptotic estimates for the eigenvalues. In Section ...
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EIGENVALUES AND EIGENFUNCTIONS OF MIXED INTEGRAL EQUATION USING KREIN`S METHOD
... In the remainder part of this work, we use a quadratic numerical method in (1.1) to obtain linear SFIEs of the first kind. Then, using Krein’s method, with the aid of Chebyshev polynomials of the first and second kind ...
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On the eigenvalues and the eigenfunctions of the Sturm-Liouville fuzzy boundary value problem
... In this paper, the fuzzy Sturm-Liouville equation is defined and the eigenvalues and the eigenfunctions of the Sturm-Liouville fuzzy boundary value problem are examined by using Hukuhara differentiability. ...
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Formalized Quantum Model for Solving the Eigenfunctions
... We will develop a similar fast method for the finding of all eigenvalues of a complex Hamiltonian matrix M. The difference between the proposed in this publication algorithm and the known analogous ones [18] ...
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6. Fractional power theory for eigenfunctions of Hankel transforms
... Abstract. The eigenvalues of Hankel transform with corresponding eigen- functions are considered. Translation and convolution for eigenfunctions of Hankel transforms are defined. These operators are used to ...
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On the spectrum and eigenfunctions of the Schrödinger operator with Aharonov Bohm magnetic field
... 6 if λ = 2, 4, 6, ... (2.52) in both cases. (Actually (2.46) and (2.51) are only valid if n ≥ 1 but a simple calculation shows that λ = 2 need not be excluded.) In the intervals between even integers, we can prove the ...
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Optimal bounds for inverse problems with Jacobi-type eigenfunctions
... In the literature on statistical inverse problems, there are few results in a minimax framework as general as the one considered in this paper. Usually, only the L 2 case is considered, and under the polynomial decay ...
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Approximation of eigenvalues of boundary value problems
... Series (.) converges absolutely and uniformly on compact subsets of C , and uniformly on R, cf. []. Expansion (.) is used in several approximation problems which are known as sinc-methods; see, e.g., [–]. In ...
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Quaternion Quasi-Normal Matrices And Their Eigenvalues
... Two characterizing properties of a quaternion normal matrix A play an essential role in our discussion: (a) A can be quaternion unitarily diagonalized and (b) a nonzero vector x is a right − eigenvector of A ( Ax = x ...
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Eigenenergy values and Eigenfunctions of a one-dimensional quantum mechanical harmonic oscillator
... and Eigenfunctions of one- dimensional quantum mechanical harmonic oscillator by comparing Schrodinger time - independent equation of one-dimensional quantum mechanical harmonic oscillator with modified form of ...
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On the set of eigenvalues of a class of equimodular matrices
... of a normal gap in the eigenvalue set of s non-negative matrix A must actually be an eigenvalue of a matrix in ~A • We shall now prove two lemmas which will enable us to use this fact to[r] ...
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Numerical approximation of Sturm-Liouville eigenvalues
... These improved bounds show that the eigenvalue error is most uniform for the estimates obtained using the modified or scaled phase associated with an eigenvalue problem which is in Liouv[r] ...
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Bounding Inequalities for Eigenvalues of Principal Submatrices
... replacing eigenvalues and di- agonal entries with their moduli is illustrated in the next section, in which we derive the absolute trace ...between eigenvalues of a matrix and a principal ...
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From Eigenvalues to Singular Values: A Review
... The current review brings together several old and new results. The “old” results come with appropriate references. In contrast, the “new” results come without references, as most of them are taken from a recent re- ...
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On the problem of LC-circuits eigenvalues multiplicity
... LC-circuit eigenvalues multiplicity, in the synthesis of circuits with a given range of eigenfrequencies by simply choosing the required number of elements (impedances) of the same kind in a primitive ...
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Upper bounds for the eigenvalues of differential equations
... for eigenvalues of some classes of di ff erential equations via rearrangements of higher ...for eigenvalues have been obtained [2–5, ...first eigenvalues of the equations (p(x)y ) + q(x)y + μy = 0 and ...
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Eigenvalues of quasibounded maximal monotone operators
... Kartsatos, AG, Skrypnik, IV: A new topological degree theory for densely defined quasibounded S̃+ -perturbations of multivalued maximal monotone operators in reflexive Banach spaces.. Skry[r] ...
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