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A radon transform-based method for line spectrum enhancement of vector hydrophone LOFAR spectrograms under low SNR conditions. [PDF]

Sci Rep
Wang J, Song C, Qi Z.
europepmc   +1 more source

Near-field-free super-potential FFT method for the three-dimensional free-space Poisson equation

Exl L, Schaffer S.
europepmc   +1 more source

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SPECTRAL INVERSE PROBLEM IN SUPERSYMMETRIC QUANTUM MECHANICS

International Journal of Modern Physics A, 1993
The supersymmetric WKB quantization condition is used to study the so-called spectral inverse problem. Wavefunctions for the harmonic oscillator and hydrogen atom are obtained from the knowledge of their bound-state energy spectra. The analysis presented is based essentially on a repackaging of the conventional theory of integral equations.
Bera, P. K., Bhattacharyya, S., Talukdar, B.   +2 more
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Inverse spectral problems for arrowhead matrices

2021
Summary: The problem of constructing a matrix by its spectral information is called inverse eigenvalue problem (IEP) which arises in a variety of applications. In this paper, we study an IEP for arrowhead matrices in different cases. The problem involves constructing of the matrix by some eigenvalues of each of the leading principal submatrices and one
Fathi, Ferya, Fariborzi Araghi, Mohammad Ali, Shahzadeh Fazeli, Seyed Abolfazl   +2 more
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Designing Optimal Spectral Filters for Inverse Problems

SIAM Journal on Scientific Computing, 2011
Summary: Spectral filtering suppresses the amplification of errors when computing solutions to ill-posed inverse problems; however, selecting good regularization parameters is often expensive. In many applications, data are available from calibration experiments. In this paper, we describe how to use such data to precompute optimal spectral filters. We
Chung, Julianne, Chung, Matthias, O'Leary, Dianne P.   +2 more
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Inverse spectral problems for compact Hankel operators

Journal of the Institute of Mathematics of Jussieu, 2013
AbstractGiven two arbitrary sequences $({\lambda }_{j} )_{j\geq 1} $ and $({\mu }_{j} )_{j\geq 1} $ of real numbers satisfying $$\begin{eqnarray*}\displaystyle \vert {\lambda }_{1} \vert \gt \vert {\mu }_{1} \vert \gt \vert {\lambda }_{2} \vert \gt \vert {\mu }_{2} \vert \gt \cdots \gt \vert {\lambda }_{j} \vert \gt \vert {\mu }_{j} \vert \rightarrow 0,
Gérard, Patrick, Grellier, Sandrine
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INVERSE SPECTRAL PROBLEM FOR ATOM-LIKE MESONS

Modern Physics Letters A, 2008
Inverse spectral problem for the Dirac equation with quark–antiquark potential is treated. For a class of potentials of the form Q(x) = q(x) E + (m + x)I, where q(x) = o(1) for x → +∞, [Formula: see text], E = I2 is multiplicative identity matrix, it is proved that q(x) in the Dirac equation can be uniquely recovered from the data {λj, sj}.
Matrasulov, D. U., Sobiro, Z. A., Sabirov, K. K.   +2 more
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