A fractional Tikhonov method for solving a Cauchy problem of Helmholtz equation
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DOI: 10.1080/00036811.2016.1254776
Abstract: In this paper, we study a fractional Tikhonov regularization method (FTRM) for solving a Cauchy problem of Helmholtz equation in the frequency domain. On the one hand, the FTRM retains the advantage of classical Tikhonov… read more here.
Keywords: fractional tikhonov; tikhonov method; solving cauchy; cauchy problem ... See more keywords
Semidefinite relaxation for the total least squares problem with Tikhonov-like regularization
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DOI: 10.1080/02331934.2019.1711080
Abstract: ABSTRACT We study the total least squares (TLS) with a parametric Tikhonov-like regularization. We relax it to a semidefinite programming (SDP) problem and establish a sufficient condition to guarantee the tightness of the SDP relaxation.… read more here.
Keywords: total least; relaxation; least squares; tikhonov ... See more keywords
Insight into Construction of Tikhonov-Type Regularization for Atmospheric Retrievals
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DOI: 10.3390/atmos11101052
Abstract: In atmospheric science we are confronted with inverse problems arising in applications associated with retrievals of geophysical parameters. A nonlinear mapping from geophysical quantities (e.g., atmospheric properties) to spectral measurements can be represented by a… read more here.
Keywords: construction tikhonov; tikhonov type; spectral measurements; insight construction ... See more keywords