Temat: linear inversion - Prolib Integro

Skocz do pozycji: 1.

Tytuł:: Determination of the seismic structure of the Earth based on joint analysis of gravimetric and seismometric data – a case study
Autorzy:: Karkowska, Kamila
Wilde-Piórko, Monika
Dykowski, Przemysław
Sękowski, Marcin
Polkowski, Marcin
Tematy:: superconducting gravimeters
broad-band seismometers
Rayleigh waves
linear inversion
Monte Caro inversion; Pokaż więcej
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Powiązania:: https://bibliotekanauki.pl/articles/58810151.pdf Link otwiera się w nowym oknie
Opis:: The evolution of the Earth’s surface is driven by external and internal forces, the latter of which can only be studied indirectly. Knowledge about the structure of the Earth’s interior is very important for modeling and predicting the processes occurring at the surface. This study presents a new concept of joint analysis of the gravimetric and seismometric recordings of earthquakes for determining the seismic structure of the Earth down to the depth of 1250 km. The proposed method allows the use of gravimetric data without the known full transfer function of the instrument. Group velocity dispersion curves of the fundamental mode of Rayleigh waves up to the period of 550 s are measured based on the joint analysis of the recordings of superconducting gravimeter and broadband seismometers operating at the same location in five testing sites in Europe, allowing for the exploration of a broader response for incoming seismic waves. Averaged dispersion curves for earthquakes around the world for each site are inverted by the weighted linear inversion and Monte Carlo methods to estimate the distribution of shear-wave seismic velocity in the Earth’s mantle. A comparison of the deterministic and probabilistic inversion methods can excellently demonstrate surface waves’ ability to determine the Earth’s mantle structure. The inversion results are compared with the global ak135 seismic model (Kennett et al. 1995) to verify the proposed method.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Stability of the Gaussian elimination for special classes of matrices. Part I
Autorzy:: Kiełbasiński, Andrzej
Tematy:: Direct methods for linear systems and matrix inversion
Matrix norms, conditioning, scaling
Roundoff error; Pokaż więcej
Wydawca:: Polskie Towarzystwo Matematyczne
Powiązania:: https://bibliotekanauki.pl/articles/747677.pdf Link otwiera się w nowym oknie
Opis:: .
Part I contains rounding-error analysis of Gaussian elimination for the triangular factorization and for solving linear systems in the case of tridiag-onal symmetric definite matrix.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: The generalization of some properties of universal matrices
Autorzy:: Hauke, Jan
Krzyszkowska, Jolanta
Tematy:: Measures of association
Matrix inversion, generalized inverses
Linear regression; Pokaż więcej
Wydawca:: Polskie Towarzystwo Matematyczne
Powiązania:: https://bibliotekanauki.pl/articles/748120.pdf Link otwiera się w nowym oknie
Opis:: .
We consider an k x k universal matrix G introduced by Hellwig (1976). We analyze two problems: the nonsingularity of the matrix G and the sign-consistency of the elements of the vector r = (ri) and of the solutrion b = (bi) to the system Gb = r. Obtained results generalize the results presented by Kolupa (1977, 1980).
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: A new method for solving ill-conditioned linear systems
Autorzy:: Soleymani, F.
Tematy:: matrix inversion
linear systems
Hilbert matrix
ill-conditioned
approximate inverse; Pokaż więcej
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Powiązania:: https://bibliotekanauki.pl/articles/256033.pdf Link otwiera się w nowym oknie
Opis:: An accurate numerical method is established for matrix inversion. It is shown theoretically that the scheme possesses the high order of convergence of seven. Subsequently, the method is taken into account for solving linear systems of equations. The accuracy of the contributed iterative method is clarified on solving numerical examples when the coefficient matrices are ill-conditioned. All of the computations are performed on a PC using several programs written in MATHEMATICA 7.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Well-Posed Linear Systems - a Survey With Emphasis on Conservative Systems
Autorzy:: Weiss, G.
Staffans, O. J.
Tucsnak, M.
Tematy:: system liniowy
układ zachowawczy
równanie różniczkowe
well-posed linear systems
regular linear system
operator semigroup
consevative system
scattering theory
time-flow-inversion
differential equations in Hilbert space
beam equation; Pokaż więcej
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Powiązania:: https://bibliotekanauki.pl/articles/908320.pdf Link otwiera się w nowym oknie
Opis:: We survey the literature on well-posed linear systems, which has been an area of rapid development in recent years. We examine the particular subclass of conservative systems and its connections to scattering theory. We study some transformations of well-posed systems, namely duality and time-flow inversion, and their effect on the transfer function and the generating operators. We describe a simple way to generate conservative systems via a second-order differential equation in a Hilbert space. We give results about the stability, controllability and observability of such conservative systems and illustrate these with a system modeling a controlled beam.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Input reconstruction by means of system inversion: A geometric approach to fault detection and isolation in nonlinear systems
Autorzy:: Edelmayer, A.
Bokor, J.
Szabo, Z.
Szigeti, F.
Tematy:: detekcja uszkodzeń
lokalizacja uszkodzeń
układ liniowy
układ nieliniowy
inwersja systemu
fault detection
fault isolation
input reconstruction
linear system
nonlinear system
system inversion; Pokaż więcej
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Powiązania:: https://bibliotekanauki.pl/articles/907385.pdf Link otwiera się w nowym oknie
Opis:: In this paper the classical detection filter design problem is considered as an input reconstruction problem. Input reconstruction is viewed as a dynamic inversion problem. This approach is based on the existence of the left inverse and arrives at detector architectures whose outputs are the fault signals while the inputs are the measured system inputs and outputs and possibly their time derivatives. The paper gives a brief summary of the properties and existence of the inverse for linear and nonlinear multivariable systems. A view of the inversion-based input reconstruction with special emphasis on the aspects of fault detection and isolation by using invariant subspaces and the results of classical geometrical systems theory is provided. The applicability of the idea to fault reconstruction is demonstrated through examples.
Dostawca treści:: Biblioteka Nauki

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