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Volumn 132, Issue 2, 2016, Pages 303-328

New estimates for the recursive low-rank truncation of block-structured matrices

Author keywords

15A18; 15A45; 65F30; 65Fxx

Indexed keywords


EID: 84954403869     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-015-0716-7     Document Type: Article
Times cited : (9)

References (11)
  • 1
    • 0041411652 scopus 로고    scopus 로고
    • Existence of (Formula presented.)-matrix approximants to the inverse FE-matrix of elliptic operators with (Formula presented.)-coefficients
    • Bebendorf, M., Hackbusch, W.: Existence of (Formula presented.)H-matrix approximants to the inverse FE-matrix of elliptic operators with (Formula presented.)-coefficients. Numer. Math. 95, 1–28 (2003)
    • (2003) Numer. Math. , vol.95 , pp. 1-28
    • Bebendorf, M.1    Hackbusch, W.2
  • 3
    • 0000075074 scopus 로고    scopus 로고
    • Accurate computation of the product-induced singular value decomposition with applications
    • Drmač, Z.: Accurate computation of the product-induced singular value decomposition with applications. SIAM J. Numer. Anal. 35, 1969–1994 (1998)
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 1969-1994
    • Drmač, Z.1
  • 5
    • 0141829814 scopus 로고    scopus 로고
    • Construction and arithmetics of (Formula presented.)-matrices
    • Grasedyck, L., Hackbusch, W.: Construction and arithmetics of (Formula presented.)-matrices. Computing 70, 295–334 (2003)
    • (2003) Computing , vol.70 , pp. 295-334
    • Grasedyck, L.1    Hackbusch, W.2
  • 6
    • 84954377913 scopus 로고    scopus 로고
    • Hackbusch, W.: Hierarchische Matrizen—Algorithmen und Analysis, Springer, Berlin, 2009—Hierarchical Matrices—Algorithms and Analysis. Springer, Berlin (2015, to appear)
    • Hackbusch, W.: Hierarchische Matrizen—Algorithmen und Analysis, Springer, Berlin, 2009—Hierarchical Matrices—Algorithms and Analysis. Springer, Berlin (2015, to appear)
  • 8
    • 10644283019 scopus 로고    scopus 로고
    • Hierarchical matrices based on a weak admissibility criterion
    • Hackbusch, W., Khoromskij, B., Kriemann, R.: Hierarchical matrices based on a weak admissibility criterion. Computing 73, 207–243 (2004)
    • (2004) Computing , vol.73 , pp. 207-243
    • Hackbusch, W.1    Khoromskij, B.2    Kriemann, R.3
  • 9
    • 84954392365 scopus 로고    scopus 로고
    • Kandler, U., Schröder, C.: Spectral error bounds for Hermitian inexact Krylov methods. Preprint 11–2014, Institute of Mathematics, Technische Universität Berlin (2014)
    • Kandler, U., Schröder, C.: Spectral error bounds for Hermitian inexact Krylov methods. Preprint 11–2014, Institute of Mathematics, Technische Universität Berlin (2014)
  • 10
    • 84884964414 scopus 로고    scopus 로고
    • Stable and efficient divide and conquer algorithms for the symmetric eigenvalue decomposition and the SVD
    • Nakatsukasa, Y., Higham, N.J.: Stable and efficient divide and conquer algorithms for the symmetric eigenvalue decomposition and the SVD. SIAM J. Sci. Comput. 35, A1325–A1349 (2013)
    • (2013) SIAM J. Sci. Comput. , vol.35 , pp. 1325-1349
    • Nakatsukasa, Y.1    Higham, N.J.2
  • 11
    • 34250957105 scopus 로고
    • Zur Theorie der linearen und nichtlinearen Integralgleichungen. I. Teil: Entwicklung willkürlicher Funktionen nach Systemen vorgeschriebener
    • Schmidt, E.: Zur Theorie der linearen und nichtlinearen Integralgleichungen. I. Teil: Entwicklung willkürlicher Funktionen nach Systemen vorgeschriebener. Math. Ann. 63, 433–476 (1907)
    • (1907) Math. Ann. , vol.63 , pp. 433-476
    • Schmidt, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.