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Volumn 1, Issue 3, 2007, Pages 507-523

Kaczmarz methods for regularizing nonlinear ill-posed equations II: Applications

Author keywords

Ill posed systems; Landweber Kaczmarz; Regularization

Indexed keywords


EID: 48049104901     PISSN: 19308337     EISSN: 19308345     Source Type: Journal    
DOI: 10.3934/ipi.2007.1.507     Document Type: Article
Times cited : (60)

References (27)
  • 1
    • 0003796630 scopus 로고
    • Academic Press, New York
    • R.A. Adams, “Sobolev Spaces,” Academic Press, New York, 1975.
    • (1975) Sobolev Spaces
    • Adams, R.A.1
  • 3
    • 0036904346 scopus 로고    scopus 로고
    • Electrical impedance tomography
    • L. Borcera, Electrical impedance tomography, Inverse Problems, 18 (2002), R99–R136.
    • (2002) Inverse Problems , vol.18 , pp. RR99-R136
    • Borcera, L.1
  • 4
    • 0032314114 scopus 로고    scopus 로고
    • Schlieren photography in Physics
    • M.A. Breazeale, Schlieren photography in Physics, Proc. SPIE, 3581 (1998), 41–47.
    • (1998) Proc. SPIE , vol.3581 , pp. 41-47
    • Breazeale, M.A.1
  • 5
    • 33646176770 scopus 로고    scopus 로고
    • Thermoacoustic tomography using a fiber-based Fabry-Perot interferometer as an integrating line detector
    • 6086:1N-9
    • P. Burgholzer, C. Hofer, G.J. Matt, G. Paltauf, M. Haltmeier, O. Scherzer, Thermoacoustic tomography using a fiber-based Fabry-Perot interferometer as an integrating line detector, Proc. SPIE, 6086 (2006), 6086:1N-9.
    • (2006) Proc. SPIE , vol.6086
    • Burgholzer, P.1    Hofer, C.2    Matt, G.J.3    Paltauf, G.4    Haltmeier, M.5    Scherzer, O.6
  • 7
    • 47249148730 scopus 로고
    • Quantitative 2d and 3d Schlieren imaging for acoustic power and intensity measurements
    • T. Charlebois and R. Pelton, Quantitative 2d and 3d Schlieren imaging for acoustic power and intensity measurements, Medical Electronics, (1995), 789–792.
    • (1995) Medical Electronics , pp. 789-792
    • Charlebois, T.1    Pelton, R.2
  • 9
    • 85044958349 scopus 로고    scopus 로고
    • Regularization of systems of nonlinear ill-posed equations: I. Convergence analysis
    • M. Haltmeier, A. Leitão and O. Scherzer, Regularization of systems of nonlinear ill-posed equations: I. convergence analysis, Inverse Problems and Imaging, 1 (2007), 289–298.
    • (2007) Inverse Problems and Imaging , vol.1 , pp. 289-298
    • Haltmeier, M.1    Leit, A.2    Ãoscherzer, O.3
  • 11
    • 84995434295 scopus 로고
    • Quantitative real-time pulsed Schlieren imaging of ultrasonic waves
    • A. Hanafy and C. I. Zanelli, Quantitative real-time pulsed Schlieren imaging of ultrasonic waves, Proc. IEEE Ultrasonics Symposium, 2 (1991), 1223–11227.
    • (1991) Proc. IEEE Ultrasonics Symposium , vol.2 , pp. 1223-11227
    • Hanafy, A.1    Zanelli, C.I.2
  • 12
    • 33744541048 scopus 로고    scopus 로고
    • Convergence analysis of a Landweber-Kaczmarz method for solving nonlinear ill-posed problems
    • R. Kowar and O. Scherzer, Convergence analysis of a Landweber-Kaczmarz method for solving nonlinear ill-posed problems, Ill posed and inverse problems (book series), 23 (2002), 69–90.
    • (2002) Ill Posed and Inverse Problems (Book Series) , vol.23 , pp. 69-90
    • Kowar, R.1    Scherzer, O.2
  • 14
    • 0033295433 scopus 로고    scopus 로고
    • A novel, rapid method to measure the effective aperture of array elements
    • I
    • E.G. LeDet and C.I. Zanelli, A novel, rapid method to measure the effective aperture of array elements, IEEE Ultrasonics Symposium, (1999).
    • (1999) EEE Ultrasonics Symposium
    • Ledet, E.G.1    Zanelli, C.I.2
  • 16
    • 33744522439 scopus 로고    scopus 로고
    • On inverse dopping profile problems for the stationary voltage-current map
    • A. Leitão, P.A. Markowich and J.P. Zubelli, On inverse dopping profile problems for the stationary voltage-current map, Inv.Probl., 22 (2006), 1071–1088.
    • (2006) Inv.Probl. , vol.22 , pp. 1071-1088
    • Leitão, A.1    Markowich, P.A.2    Zubelli, J.P.3
  • 19
    • 0004230519 scopus 로고    scopus 로고
    • The Mathematics of Computerized Tomography
    • F. Natterer, “The Mathematics of Computerized Tomography,” SIAM, Philadelphia, 2001.
    • (2001) SIAM, Philadelphia
    • Natterer, F.1
  • 21
    • 34547361271 scopus 로고    scopus 로고
    • Photoacoustic tomography using a Mach–Zehnder interferometer as acoustic line detector
    • G. Paltauf, R. Nuster, M. Haltmeier and P. Burgholzer, Photoacoustic tomography using a Mach–Zehnder interferometer as acoustic line detector, Applied Optics, (2007), to appear.
    • (2007) Applied Optics
    • Paltauf, G.1    Nuster, R.2    Haltmeier, M.3    Burgholzer, P.4
  • 23
    • 0042758387 scopus 로고
    • The diffraction of light by high frequency ultrasonic waves: Part 1
    • C.V. Raman and N. S. Nath, The diffraction of light by high frequency ultrasonic waves: Part 1, Proc. Indian Acad. Sci, 2 (1935), 406–412.
    • (1935) Proc. Indian Acad. Sci , vol.2 , pp. 406-412
    • Raman, C.V.1    Nath, N.S.2
  • 24
    • 0038391518 scopus 로고    scopus 로고
    • Noninvasive laser-induced photoacoustic tomography for structural and functional in vivo imaging of the brain
    • X.D. Wang, G. Pang, Y.J. Ku, X.Y. Xie, G. Stoica and L.V. Wang, Noninvasive laser-induced photoacoustic tomography for structural and functional in vivo imaging of the brain, Nature Biotechnology, 21 (2003), 803–806.
    • (2003) Nature Biotechnology , vol.21 , pp. 803-806
    • Wang, X.D.1    Pang, G.2    Ku, Y.J.3    Xie, X.Y.4    Stoica, G.5    Wang, L.V.6
  • 25
  • 26
    • 1942516847 scopus 로고    scopus 로고
    • Reconstructions in limited-view thermoacoustic tomography
    • Y. Xu, L.V. Wang, G. Ambartsoumian and P. Kuchment, Reconstructions in limited-view thermoacoustic tomography, Medical Physics, 31 (2004), 724–733.
    • (2004) Medical Physics , vol.31 , pp. 724-733
    • Xu, Y.1    Wang, L.V.2    Ambartsoumian, G.3    Kuchment, P.4
  • 27
    • 0028739357 scopus 로고
    • Measurements of acoustic pressure in the non-linear range in water using quantitative Schlieren
    • C.I. Zanelli and M.M. Kadri, Measurements of acoustic pressure in the non-linear range in water using quantitative Schlieren, Proc. IEEE Ultrasonics Symposium, 3 (1994), 1765–1768.
    • (1994) Proc. IEEE Ultrasonics Symposium , vol.3 , pp. 1765-1768
    • Zanelli, C.I.1    Kadri, M.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.