메뉴 건너뛰기




Volumn 10, Issue 2, 2002, Pages 117-129

Data errors and an error estimation for ill-posed problems

Author keywords

Ill posed problems; Inverse problems; Regularization; Sourcewise representation

Indexed keywords

ALGORITHMS; ERROR ANALYSIS; MATHEMATICAL OPERATORS; PROBLEM SOLVING;

EID: 0036554311     PISSN: 10682767     EISSN: None     Source Type: Journal    
DOI: 10.1080/10682760290031195     Document Type: Article
Times cited : (46)

References (20)
  • 4
    • 0010676553 scopus 로고    scopus 로고
    • Special regularizing methods for ill-posed problems with source-wise represented solutions
    • A.S. Leonov and A.G. Yagola (1998). Special regularizing methods for ill-posed problems with source-wise represented solutions. Inverse Problems, 14(6), 1539-1550.
    • (1998) Inverse Problems , vol.14 , Issue.6 , pp. 1539-1550
    • Leonov, A.S.1    Yagola, A.G.2
  • 5
    • 0001461815 scopus 로고    scopus 로고
    • Velocity law in the extended atmosphere of WN5 star in the eclipsing binary V444 Cygni
    • A.M. Cherepaschuk, I.I. Antokhin and A.G. Yagola (1997). Velocity law in the extended atmosphere of WN5 star in the eclipsing binary V444 Cygni. Astrophysics and Space Science, 254, 111-131.
    • (1997) Astrophysics and Space Science , vol.254 , pp. 111-131
    • Cherepaschuk, A.M.1    Antokhin, I.I.2    Yagola, A.G.3
  • 6
    • 0002042049 scopus 로고    scopus 로고
    • A method to cut convex polyhedrons and its applications to ill-posed problems
    • Section 1
    • V.N. Titarenko and A.G. Yagola (2000). A method to cut convex polyhedrons and its applications to ill-posed problems. Numerical Methods and Programming, 1, Section 1, 8-13, www.http://num-meth.srcc.msu.su.
    • (2000) Numerical Methods and Programming , vol.1 , pp. 8-13
    • Titarenko, V.N.1    Yagola, A.G.2
  • 7
    • 0010754401 scopus 로고    scopus 로고
    • Sourcewise representation and a posteriori error estimates for ill-posed problems
    • A.G. Ramm et al. (Ed.), AMS: Providence, RI
    • A.G. Yagola and K.Yu. Dorofeev (2000). Sourcewise representation and a posteriori error estimates for ill-posed problems. In: A.G. Ramm et al. (Ed.), Fields Institute Communications: Operator Theory and its Applications, Vol. 25, pp. 543-550. AMS: Providence, RI.
    • (2000) Fields Institute Communications: Operator Theory and its Applications , vol.25 , pp. 543-550
    • Yagola, A.G.1    Dorofeev, K.Y.2
  • 9
    • 0001300994 scopus 로고
    • Solution of incorrectly formulated problems and the regularization method
    • A.N. Tikhonov (1963). Solution of incorrectly formulated problems and the regularization method. Sov. Math., Dokl., 5, 1035-1038.
    • (1963) Sov. Math., Dokl. , vol.5 , pp. 1035-1038
    • Tikhonov, A.N.1
  • 10
    • 0001300995 scopus 로고
    • Regularization of incorrectly posed problems
    • A.N. Tikhonov (1963). Regularization of incorrectly posed problems. Sov. Math., Dokl., 4, 1624-1627.
    • (1963) Sov. Math., Dokl. , vol.4 , pp. 1624-1627
    • Tikhonov, A.N.1
  • 11
    • 0002634105 scopus 로고
    • Can an ill-posed problem be solved if the data error is unknown?
    • A.S. Leonov and A.G. Yagola (1995). Can an ill-posed problem be solved if the data error is unknown? Moscow Univ. Physics Bull., 50(4), 25-28.
    • (1995) Moscow Univ. Physics Bull. , vol.50 , Issue.4 , pp. 25-28
    • Leonov, A.S.1    Yagola, A.G.2
  • 12
    • 0010676928 scopus 로고
    • Remark about the choice of the regularization parameter by the quasioptimality criterion and the propertion criterion
    • A.B. Bakushinskii (1984). Remark about the choice of the regularization parameter by the quasioptimality criterion and the propertion criterion. Comput. Math. Math. Phys., 24(8), 1258-1259.
    • (1984) Comput. Math. Math. Phys. , vol.24 , Issue.8 , pp. 1258-1259
    • Bakushinskii, A.B.1
  • 13
    • 0010675901 scopus 로고
    • On problems with imprecisely given initial information
    • A.N. Tikhonov (1985). On problems with imprecisely given initial information. Sov. Math., Dokl., 31, 131-134.
    • (1985) Sov. Math., Dokl. , vol.31 , pp. 131-134
    • Tikhonov, A.N.1
  • 14
    • 0001195441 scopus 로고
    • Numerical tools for analysis and solution of Fredholm integral equations of the first kind
    • P.C. Hansen (1992). Numerical tools for analysis and solution of Fredholm integral equations of the first kind. Inverse Problems, 8(6), 849-872.
    • (1992) Inverse Problems , vol.8 , Issue.6 , pp. 849-872
    • Hansen, P.C.1
  • 15
    • 0002721986 scopus 로고    scopus 로고
    • The L-curve method always introduces a nonremovable systematic error
    • A.S. Leonov and A.G. Yagola (1997). The L-curve method always introduces a nonremovable systematic error. Moscow Univ. Physics Bull., 52(6), 20-23.
    • (1997) Moscow Univ. Physics Bull. , vol.52 , Issue.6 , pp. 20-23
    • Leonov, A.S.1    Yagola, A.G.2
  • 16
    • 0000544453 scopus 로고
    • Practical approximate solutions to linear operator equations when the data are noisy
    • G. Wahba (1977). Practical approximate solutions to linear operator equations when the data are noisy. SIAM J. Numer. Anal., 14(4), 651-667.
    • (1977) SIAM J. Numer. Anal. , vol.14 , Issue.4 , pp. 651-667
    • Wahba, G.1
  • 19
    • 0010675902 scopus 로고
    • Regularizable functions in topological spaces and inverse problems
    • V.A. Vinokurov (1979). Regularizable functions in topological spaces and inverse problems. Sov. Math., Dokl., 20, 569-573.
    • (1979) Sov. Math., Dokl. , vol.20 , pp. 569-573
    • Vinokurov, V.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.