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Volumn 74, Issue 5-6, 2000, Pages 197-201

A note on the use of determinant for proving lower bounds on the size of linear circuits

Author keywords

Computational complexity; Determinant; Matrix

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL COMPLEXITY; ELECTRIC NETWORK ANALYSIS; MATRIX ALGEBRA;

EID: 0033726085     PISSN: 00200190     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0020-0190(00)00058-2     Document Type: Article
Times cited : (14)

References (11)
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  • 4
    • 0343301410 scopus 로고
    • Using the notion of separability and independence for proving lower bounds on circuit complexity
    • D.Yu. Grigoriev, Using the notion of separability and independence for proving lower bounds on circuit complexity, Notes Leningrad Branch Steklov Math. Inst. 60 (1976) 38-48.
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    • Grigoriev, D.Yu.1
  • 5
    • 0029488086 scopus 로고
    • Spectral methods for matrix rigidity with applications to size-depth tradeoffs and communication complexity
    • S.V. Lokam, Spectral methods for matrix rigidity with applications to size-depth tradeoffs and communication complexity, in: Proc. 36th IEEE FOCS, 1995, pp. 6-15.
    • (1995) Proc. 36th IEEE FOCS , pp. 6-15
    • Lokam, S.V.1
  • 6
    • 84976770666 scopus 로고
    • Note on a lower bound on the linear complexity of the fast Fourier transform
    • J. Morgenstern, Note on a lower bound on the linear complexity of the fast Fourier transform, J. ACM 20 (2) (1973) 305-306.
    • (1973) J. ACM , vol.20 , Issue.2 , pp. 305-306
    • Morgenstern, J.1
  • 7
    • 0016495812 scopus 로고
    • The linear complexity of computation
    • J. Morgenstern, The linear complexity of computation, J. ACM 22 (2) (1975) 184-194.
    • (1975) J. ACM , vol.22 , Issue.2 , pp. 184-194
    • Morgenstern, J.1
  • 8
    • 0012610577 scopus 로고
    • On the complexity of bilinear forms
    • N. Nisan, A. Wigderson, On the complexity of bilinear forms, in: Proc. 27th ACM STOC, 1995, pp. 723-732.
    • (1995) Proc. 27th ACM STOC , pp. 723-732
    • Nisan, N.1    Wigderson, A.2
  • 9
    • 0343736939 scopus 로고    scopus 로고
    • Improved lower bounds on the rigidity of Hadamard matrices
    • B.S. Kashin, A.A. Razborov, Improved lower bounds on the rigidity of Hadamard matrices, Math. Notes 63 (4) (1998) 471-475.
    • (1998) Math. Notes , vol.63 , Issue.4 , pp. 471-475
    • Kashin, B.S.1    Razborov, A.A.2
  • 10
    • 85016972944 scopus 로고
    • Graph-theoretic arguments in low level complexity
    • Proc. 6th MFCS, Springer, Berlin
    • L.G. Valiant, Graph-theoretic arguments in low level complexity, in: Proc. 6th MFCS, Lecture Notes in Comput. Sci., Vol. 53, Springer, Berlin, 1977, pp. 162-176.
    • (1977) Lecture Notes in Comput. Sci. , vol.53 , pp. 162-176
    • Valiant, L.G.1
  • 11
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    • preliminary version of this paper
    • ftp://ftp.eccc.uni-trier.de/pub/eccc/reports/1998/TR98-042/index.html (preliminary version of this paper).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.