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Tytuł:
A new Kantorovich-type theorem for Newtons method
Autorzy:
Argyros, Ioannis
Powiązania:
https://bibliotekanauki.pl/articles/1338842.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Newton's method
Lipschitz-Hölder condition
Kantorovich hypothesis
Banach space
Opis:
A new Kantorovich-type convergence theorem for Newton's method is established for approximating a locally unique solution of an equation F(x)=0 defined on a Banach space. It is assumed that the operator F is twice Fréchet differentiable, and that F', F'' satisfy Lipschitz conditions. Our convergence condition differs from earlier ones and therefore it has theoretical and practical value.
Źródło:
Applicationes Mathematicae; 1999, 26, 2; 151-157
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Local convergence of inexact Newton methods under affine invariant conditions and hypotheses on the second Fréchet derivative
Autorzy:
Argyros, Ioannis
Powiązania:
https://bibliotekanauki.pl/articles/1338691.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
superlinear
Fréchet derivative
weak convergence
inexact Newton method
strong
forcing sequence
Banach space
Opis:
We use inexact Newton iterates to approximate a solution of a nonlinear equation in a Banach space. Solving a nonlinear equation using Newton iterates at each stage is very expensive in general. That is why we consider inexact Newton methods, where the Newton equations are solved only approximately, and in some unspecified manner. In earlier works [2], [3], natural assumptions under which the forcing sequences are uniformly less than one were given based on the second Fréchet derivative of the operator involved. This approach showed that the upper error bounds on the distances involved are smaller compared with the corresponding ones using hypotheses on the first Fréchet derivative. However, the conditions on the forcing sequences were not given in affine invariant form. The advantages of using conditions given in affine invariant form were explained in [3], [10]. Here we reproduce all the results obtained in [3] but using affine invariant conditions.
Źródło:
Applicationes Mathematicae; 1999, 26, 4; 457-465
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The effect of rounding errors on a certain class of iterative methods
Autorzy:
Argyros, Ioannis
Powiązania:
https://bibliotekanauki.pl/articles/1208172.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Fréchet derivative
Lipschitz conditions
Newton-like method
inexact Newton-like method
Banach space
Opis:
In this study we are concerned with the problem of approximating a solution of a nonlinear equation in Banach space using Newton-like methods. Due to rounding errors the sequence of iterates generated on a computer differs from the sequence produced in theory. Using Lipschitz-type hypotheses on the mth Fréchet derivative (m ≥ 2 an integer) instead of the first one, we provide sufficient convergence conditions for the inexact Newton-like method that is actually generated on the computer. Moreover, we show that the ratio of convergence improves under our conditions. Furthermore, we provide a wider choice of initial guesses than before. Finally, a numerical example is provided to show that our results compare favorably with earlier ones.
Źródło:
Applicationes Mathematicae; 2000, 27, 3; 369-375
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Latent semantic indexing using eigenvalue analysis for efficient information retrieval
Autorzy:
Aswani Kumar, Ch.
Srinivas, S.
Powiązania:
https://bibliotekanauki.pl/articles/908375.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
wyszukiwanie informacji
indeksowanie semantyczne
wartość własna
wektor przestrzenny
information retrieval
latent semantic indexing
eigenvalues
rank reduction
singular value decomdecomposition
vector space method
Opis:
Text retrieval using Latent Semantic Indexing (LSI) with truncated Singular Value Decomposition (SVD) has been intensively studied in recent years. However, the expensive complexity involved in computing truncated SVD constitutes a major drawback of the LSI method. In this paper, we demonstrate how matrix rank approximation can influence the effectiveness of information retrieval systems. Besides, we present an implementation of the LSI method based on an eigenvalue analysis for rank approximation without computing truncated SVD, along with its computational details. Significant improvements in computational time while maintaining retrieval accuracy are observed over the tested document collections.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2006, 16, 4; 551-558
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The definition of the area of felling forests by high resolution satellite images
Autorzy:
Burshtynska, K.
Polishchuk, B.
Madyar, J.
Powiązania:
https://bibliotekanauki.pl/articles/100258.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Rolniczy im. Hugona Kołłątaja w Krakowie
Tematy:
remote sensing of the Earth
space image
forest monitoring
classification
method of maximum probability
Mahalanobis's method
method of minimum distance
deforestation
teledetekcja Ziemi
klasyfikacja
monitoring lasu
metoda maksymalnego prawdopodobieństwa
Metoda Mahalanobisa
wylesienie
Opis:
The paper presents a hybrid classification method based on the determination of the optimal number of classes according to uncontrolled classification followed by image processing techniques of controlled classification. A criterion for determining the optimal number of classes is proposed based on the definition of averaged values differences of average spectral brightness among the classes. Space images from satellites Ikonos (2002, 2007) and QuickBird (2010) were used to study different time cuttings in the forests of the Carpathian region. A significant amount of ground observation was held for getting test information. A Hybrid Classification Method is used for different time cuttings by QuickBird satellite images and implemented in a software environment of ERDAS Imagine. In order to obtain acreage of cuttings made for the period of 2002-2007 and 2007-2010, a comparative analysis of cuttings is introduced in these time intervals and their area is determined on the basis of the digital images of polygons in the ArcGIS software environment.
Źródło:
Geomatics, Landmanagement and Landscape; 2014, 3; 43-54
2300-1496
Pojawia się w:
Geomatics, Landmanagement and Landscape
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimization of Multi-Chamber Mufflers with Reverse-Flow Ducts by Algorithm of Simulated Annealing
Autorzy:
Chang, Y-C.
Chiu, M-C.
Powiązania:
https://bibliotekanauki.pl/articles/177998.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
multi-chamber muffler
reverse-flow
decoupled numerical method
space constraints
simulated algorithm
Opis:
Shape optimization on mufflers within a limited space volume is essential for industry, where the equipment layout is occasionally tight and the available space for a muffler is limited for maintenance and operation purposes. To proficiently enhance the acoustical performance within a constrained space, the selection of an appropriate acoustical mechanism and optimizer becomes crucial. A multi-chamber side muffler hybridized with reverse-flow ducts which can visibly increase the acoustical performance is rarely addressed; therefore, the main purpose of this paper is to numerically analyze and maximize the acoustical performance of this muffler within a limited space. In this paper, the four-pole system matrix for evaluating the acoustic performance – sound transmission loss (STL) – is derived by using a decoupled numerical method. Moreover, a simulated annealing (SA) algorithm, a robust scheme in searching for the global optimum by imitating the softening process of metal, has been used during the optimization process. Before dealing with a broadband noise, the STL’s maximization with respect to a one-tone noise is introduced for the reliability check on the SA method. Moreover, the accuracy check of the mathematical models with respect to various acoustical elements is performed. The optimal result in eliminating broadband noise reveals that the multi-chamber muffler with reverse-flow perforated ducts is excellent for noise reduction. Consequently, the approach used for the optimal design of the noise elimination proposed in this study is easy and effective.
Źródło:
Archives of Acoustics; 2010, 35, 1; 13-33
0137-5075
Pojawia się w:
Archives of Acoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Multi-Layer Micro-Perforated Panel Structure Based on Curled Space for Broadband Sound Absorption at Low Frequencies
Autorzy:
Chu, Jiaming
Liang, Xiao
Yang, Zhen
Liang, Haofeng
Chen, Tao
Su, Liang
Zhou, Zhuo
Powiązania:
https://bibliotekanauki.pl/articles/31339792.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
micro-perforated plate
curled space
broadband sound absorption
complex frequency plane method
Opis:
In this paper, we propose a multi-layer micro-perforated panel structure based on a curled space for broadband sound absorption at low frequencies, which increases the number of perforated panel layers in a limited space using a curled space. The absorption coefficients of the structure under plane wave conditions were calculated using the transfer matrix method and the finite element method. It is demonstrated that the multilayer micro-perforated panel structure can ensure high absorption (consistently over 90%) in the frequency range of 400~5000 Hz. The sound absorption mechanism of the multi-layer micro-perforated panel structure is investigated by using the acoustic impedance along with the reflection coefficient of the complex frequency surface. In addition, we also discuss the effects of the micro-perforated panel parameters on the structural sound absorption coefficient. The results show that the proposed multi-layer micro-perforated panel structure provides an excellent solution for sound absorption in a limited space.
Źródło:
Archives of Acoustics; 2023, 48, 4; 529-538
0137-5075
Pojawia się w:
Archives of Acoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Przemiany struktury funkcjonalnej Nowego Miasta w Mysłowicach w 1913 i 2013 r. w świetle materiałów kartograficznych
The functional structure changes of Nowe Miasto in Mysłowice at 1913 and 2013 in the light of cartographic materials
Autorzy:
Dragan, Weronika
Parusel, Tomasz
Powiązania:
https://bibliotekanauki.pl/articles/965331.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
endo- i exogenic functions
urban space transformations
institutional base
functional map
Conzen’s method
funkcje endo- i egzogeniczne
przemiany przestrzeni miejskiej
baza instytucjonalna
mapa funkcjonalna
metoda conzena
Opis:
Celem niniejszego artykułu jest przedstawienie przemian struktury funkcjonalnej południowego fragmentu staromiejskiej części Mysłowic, tzw. Nowego Miasta, pomiędzy 1913 r. i 2013 r. Analizy dokonano w oparciu o mapy funkcjonalne obszaru, sygnalizując głębszy problem badawczy. Studium obejmuje pełne spektrum rodzajów działalności gospodarczych prowadzonych na obszarze badań w ujęciu historycznym oraz współczesnym. Postępowanie badawcze przeprowadzono w oparciu o chronologicznie zestawione plany miasta. Przyjęte daty graniczne prezentują układ funkcjonalny Nowego Miasta w Mysłowicach w czasach jego maksymalnego rozwoju oraz współczesnego regresu funkcjonalnego.
Urban development is continuous and very complex process which causes numerous urban space transformations, both in spatial and functional terms. The aim of paper is analysis of functional changes in the area of south part of major functional center of Mysłowice town at 1913 and 2013. Studies were conducted on the base of functional maps and their comparative analysis. The analysis include the area of Nowe Miasto (Nowe Mysłowice, New Town, New Mysłowice). Seat of local government, railway station with former emigratory station and surrounding buildings are located at this area now. Researches included the spectrum of economic activity at study area, according to Conzen’s method and conceptions of institutional base, both in historical and contemporary terms. The functional maps of Nowe Miasto were made on the base of archival materials (literature, commercial registers, town plan from 1911), contemporary town plan from 2009 and field inventory of economic activity at study area in 2013. The cartographic materials were registered and calibrated in Poland CS92 coordinate system (EPSG: 2180) and next digitized with applied MapInfo Professional package. Studies showed that functional structure of south part of major functional center of Mysłowice town has changed significantly between 1913 and 2013. At 1913 area of Nowe Miasto was characterized by activities connected with border traffic (hotels, restaurants, banks). Buildings of schools, synagogue and Evangelical Church gave unique character to this part of town. Contemporary this area is undergoing the spatial and functional crisis and urban structure was degraded. The major part of economic activities at study area in 2013 have endogenic character also.
Źródło:
Acta Universitatis Lodziensis. Folia Geographica Socio-Oeconomica; 2014, 16
1508-1117
2353-4826
Pojawia się w:
Acta Universitatis Lodziensis. Folia Geographica Socio-Oeconomica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Performance Evaluation of MC-CDMA Systems with Single User Detection Technique using Kernel and Linear Adaptive Method
Autorzy:
Fateh, Rachid
Darif, Anouar
Safi, Said
Powiązania:
https://bibliotekanauki.pl/articles/2058482.pdf
Data publikacji:
2021
Wydawca:
Instytut Łączności - Państwowy Instytut Badawczy
Tematy:
BRAN channels
equalization
kernel method
MC-CDMA
reproducing kernel Hilbert space
Opis:
Among all the techniques combining multi-carrier modulation and spread spectrum, the multi-carrier code division multiple access (MC-CDMA) system is by far the most widely studied. In this paper, we present the performance of the MC-CDMA system associated with key single-user detection techniques. We are interested in problems related to identification and equalization of mobile radio channels, using the kernel method in Hilbert space with a reproducing kernel, and a linear adaptive algorithm, for MC-CDMA systems. In this context, we tested the efficiency of these algorithms, considering practical frequency selective fading channels, called broadband radio access network (BRAN), standardized for MC-CDMA systems. As far as the equalization problem encountered after channel identification is concerned, we use the orthogonality restoration combination (ORC) and the minimum mean square error (MMSE) equalizer techniques to correct the distortion of the channel. Simulation results demonstrate that the kernel algorithm is efficient for practical channel.
Źródło:
Journal of Telecommunications and Information Technology; 2021, 4; 1--11
1509-4553
1899-8852
Pojawia się w:
Journal of Telecommunications and Information Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Measurement of sprinkled and encapsulated space charge in homo-multilayer dielectric samples using PEA method
Autorzy:
Florkowski, Marek
Kuniewski, Maciej
Powiązania:
https://bibliotekanauki.pl/articles/2173639.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
space charge
corona discharge
encapsulated charge
PEA
pulsed electroacoustic method
high voltage insulation
diagnostics
ładunek kosmiczny
wyładowanie koronowe
impulsowa metoda elektroakustyczna
izolacja wysokiego napięcia
diagnostyka
ładunek zamknięty
Opis:
High voltage DC insulation plays an important role, especially in power transmission systems (HVDC) but also increasingly on medium voltage levels (MVDC). The space charge behavior under DC voltage has great importance on electrical insulation reliability. This paper reports investigations of encapsulated space charge in homo-multilayer dielectric materials using the pulsed electro-acoustic (PEA) method. The charge has been introduced on the homo-layer interface by corona sprinkling prior to encapsulation. Two doses of charge density were accumulated on the dielectric surface in two types of dielectric materials Kapton and LDPE. The polarization DC voltage was applied in 2 min intervals in steps corresponding to an effective electric field strength in a range of 8–40 kV/mm for Kapton and 10–50 kV/mm for LDPE. The PEA-based detected space charge was compared at the initial, reference stage, prior to charge accumulation, and after corona sprinkling of defined charge density. The evaluation was based on the PEA time-dependent charge distributions and charge profiles referring to the DC polarization field strength. The goal of the experiment was to identify the relationship and the character of the known sprinkled and encapsulated charge inside homo-layered materials using the PEA method. According to the observations, the ratio between sprinkled charge densities is proportional to the encapsulated, charge densities measured by the PEA method on the interfacial homo-layer for the Kapton specimen. In the case of LDPE, a fast decrease of interfacial charge was observed, especially at a higher polarization field above 10 kV/mm. The encapsulation of the known charge amount can be extended to different types of multilayer material. The presented methodology might be used also for extended calibration of the PEA measurement system.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2022, 70, 2; art. no. e140686
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Local convergence comparison between two novel sixth order methods for solving equations
Autorzy:
George, Santhosh
Argyros, Ioannis K.
Powiązania:
https://bibliotekanauki.pl/articles/744657.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:
Jarratt-like method
sixth order of convergence
local convergence
Banach space
Frechet-derivative
Źródło:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica; 2019, 18
2300-133X
Pojawia się w:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Wpływ temperatury na emisję lotnych związków organicznych z wyrobów budowlanych w pomieszczeniach ogrzewanych
Autorzy:
Goljan, Anna
Kostyrko, Krystyna
Piasecki, Michał
Powiązania:
https://bibliotekanauki.pl/articles/163291.pdf
Data publikacji:
2019
Wydawca:
Polski Związek Inżynierów i Techników Budownictwa
Tematy:
wyrób budowlany
związek organiczny lotny
emisja
pomieszczenie ogrzewane
źródło emisji
temperatura
metoda badań
badanie laboratoryjne
komora badawcza
model obliczeniowy
construction product
volatile organic compound
emission
heated space
emission source
temperature
test method
laboratory examination
test chamber
computational model
Opis:
Temperatura jest jednym z bardziej znaczących parametrów mających wpływ na emisję lotnych związków organicznych (LZO). Europejska horyzontalna metoda badania emisji lotnych związków organicznych PN-EN 16516:2017 Wyroby budowlane – Ocena uwalniania substancji niebezpiecznych – Oznaczenie emisji do powietrza wnętrz zakłada standardowe warunki badania w temperaturze 23°C (+/- 1°C). Opisano w niej metody badania emisji LZO oparte na europejskim pokoju modelowym w znormalizowanych warunkach środowiskowych. Norma nie przewiduje kontroli wyrobów budowlanych mających kontakt z działaniem podwyższonej temperatury, np. stosowanych do konserwacji grzejników. W niniejszej pracy przedstawiono grupy wyrobów budowlanych, które są narażone na wpływ podwyższonej temperatury z grzejników konwekcyjnych i promieniujących, europejskie metody badania emisji LZO oraz modele predykcji emisji lotnych związków organicznych.
Źródło:
Przegląd Budowlany; 2019, 90, 10; 135-138
0033-2038
Pojawia się w:
Przegląd Budowlany
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Newtonian analog method in modeling the effects of urban planning self-organization
Analogowa metoda Newtona w modelowaniu efektów samoorganizacji planowania przestrzennego
Autorzy:
Hoblyk, A.
Powiązania:
https://bibliotekanauki.pl/articles/370460.pdf
Data publikacji:
2015
Wydawca:
Zachodniopomorski Uniwersytet Technologiczny w Szczecinie. Wydawnictwo Uczelniane ZUT w Szczecinie
Tematy:
system planowania przestrzennego
metoda analogowa Newtona
potencjał czasoprzestrzenny obszaru
lampa Lava
urban planning system
Newtonian analog method
territory space-time organization potential
Lava lamp
Opis:
Artykuł rozpatruje osobliwości związane z aplikacją analogowej metody Newtona w matematycznym modelowaniu efektu samoorganizacji w planowaniu przestrzennym. Prezentuje również analizę kompleksu produkcyjno-usługowego „Rynok Pivdennyy” („Rynek Południowy”) w Lwowie bazującą na technicznej analogii.
The article deals with the peculiarities of application of Newtonian analog method in the problems of mathematical modeling of the urban planning project self-organization effect. It also presents analysis of the commercial-production complex 'Rynok Pivdennyy' ('Southern Market') development in the city of Lviv based on its technical analog.
Źródło:
Przestrzeń i Forma; 2015, 24/2; 67-76
1895-3247
2391-7725
Pojawia się w:
Przestrzeń i Forma
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Eigenvalue-eigenfunction problem for Steklovs smoothing operator and differential-difference equations of mixed type
Autorzy:
Iakovlev, S. I.
Iakovleva, V.
Powiązania:
https://bibliotekanauki.pl/articles/254795.pdf
Data publikacji:
2013
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Steklov's smoothing operator
spectrum
eigenvalues
eigenfunctions
mixed-type differential-difference equations
initial function
method of steps
countably normed space
transformation group
generator
Opis:
It is shown that any μ ∈ C is an infinite multiplicity eigenvalue of the Steklov smoothing operator Sh acting on the space [formula]. For μ ≠ 0 the eigenvalue-eigenfunction problem leads to studying a differential-difference equation of mixed type. An existence and uniqueness theorem is proved for this equation. Further a transformation group is defined on a countably normed space of initial functions and the spectrum of the generator of this group is studied. Some possible generalizations are pointed out.
Źródło:
Opuscula Mathematica; 2013, 33, 1; 81-98
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The possibilities of using the guidebook analysis method in research on the evolution of urban tourism space in Maghreb countries
Autorzy:
Kalaska, Maciej
Powiązania:
https://bibliotekanauki.pl/articles/627907.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
urban tourism space
guidebook analysis method
tourism space
Maghreb
Opis:
Research on the evolution of tourism space in Maghreb cities is hindered due to the limited availability and questionable credibility of the data. The guidebook analysis method was developed by S. Liszewski (1999) and it offers a way of analysing tourism space. The main objective of this research paper is to indicate the advantages and disadvantages of using this method to analyse changes in the urban tourism space of the Maghreb. This paper presents conclusions of the research conducted in six locations in the period 2012-2014.
Źródło:
Turyzm; 2018, 28, 2; 15-21
0867-5856
2080-6922
Pojawia się w:
Turyzm
Dostawca treści:
Biblioteka Nauki
Artykuł

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