메뉴 건너뛰기




Volumn , Issue , 2011, Pages 413-419

NP-hardness of approximately solving linear equations over reals

Author keywords

hardness of approximation; linear equations; PCP

Indexed keywords

HARDNESS; LINEAR EQUATIONS;

EID: 79959709044     PISSN: 07378017     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1993636.1993692     Document Type: Conference Paper
Times cited : (6)

References (19)
  • 3
    • 0032058198 scopus 로고    scopus 로고
    • Proof Verification and the Hardness of Approximation Problems
    • S. Arora, C. Lund, R. Motwani, M. Sudan, and M. Szegedy. Proof verification and the hardness of approximation problems. Journal of the ACM, 45(3):501-555, 1998. (Pubitemid 128506634)
    • (1998) Journal of the ACM , vol.45 , Issue.3 , pp. 501-555
    • Arora, S.1    Lund, C.2    Motwani, R.3    Sudan, M.4    Szegedy, M.5
  • 4
    • 0031651077 scopus 로고    scopus 로고
    • Probabilistic checking of proofs: A new characterization of NP
    • S. Arora and S. Safra. Probabilistic checking of proofs: a new characterization of NP. Journal of the ACM, 45(1):70-122, 1998. (Pubitemid 128615465)
    • (1998) Journal of the ACM , vol.45 , Issue.1 , pp. 70-122
    • Arora, S.1    Safra, S.2
  • 7
    • 0000619172 scopus 로고
    • Self-testing/correcting with applications to numerical problems
    • M. Blum, M. Luby, and R. Rubinfeld. Self-testing/correcting with applications to numerical problems. Journal of Computer and System Sciences, 47(3):549-595, 1993.
    • (1993) Journal of Computer and System Sciences , vol.47 , Issue.3 , pp. 549-595
    • Blum, M.1    Luby, M.2    Rubinfeld, R.3
  • 9
    • 77955640314 scopus 로고    scopus 로고
    • Hardness of solving sparse overdetermined linear systems: A 3-query PCP over integers
    • V. Guruswami and P. Raghavendra. Hardness of solving sparse overdetermined linear systems: A 3-query PCP over integers. ACM Trans. Comput. Theory, 1(2):1-20, 2009.
    • (2009) ACM Trans. Comput. Theory , vol.1 , Issue.2 , pp. 1-20
    • Guruswami, V.1    Raghavendra, P.2
  • 10
    • 0000844603 scopus 로고    scopus 로고
    • Some optimal inapproximability results
    • J. Håstad. Some optimal inapproximability results. Journal of the ACM, 48(4):798-859, 2001.
    • (2001) Journal of the ACM , vol.48 , Issue.4 , pp. 798-859
    • Håstad, J.1
  • 11
    • 4544354754 scopus 로고    scopus 로고
    • A new PCP outer verifier with applications to homogeneous linear equations and max-bisection
    • J. Holmerin and S. Khot. A new PCP outer verifier with applications to homogeneous linear equations and max-bisection. In Proc. 36th ACM Symp. on Theory of Computing, pages 11-20, 2004.
    • (2004) Proc. 36th ACM Symp. on Theory of Computing , pp. 11-20
    • Holmerin, J.1    Khot, S.2
  • 12
    • 77955316963 scopus 로고    scopus 로고
    • Parallel repetition: Simplification and the no-signaling case
    • T. Holenstein. Parallel repetition: Simplification and the no-signaling case. Theory of Computing, 5(1):141-172, 2009.
    • (2009) Theory of Computing , vol.5 , Issue.1 , pp. 141-172
    • Holenstein, T.1
  • 13
    • 40049085242 scopus 로고    scopus 로고
    • Optimal inapproximability results for MAX-CUT and other 2-variable CSPs?
    • DOI 10.1137/S0097539705447372
    • S. Khot, G. Kindler, E. Mossel, and R. O'Donnell. Optimal inapproximability results for MAX-CUT and other two-variable CSPs? SIAM Journal on Computing, 37(1):319-357, 2007. (Pubitemid 351321999)
    • (2007) SIAM Journal on Computing , vol.37 , Issue.1 , pp. 319-357
    • Khot, S.1    Kindler, G.2    Mossel, E.3    O'Donnell, R.4
  • 14
    • 79959711697 scopus 로고    scopus 로고
    • Hardness of approximately solving linear equations over reals
    • Technical report
    • S. Khot and D. Moshkovitz. Hardness of approximately solving linear equations over reals. Technical report, ECCC Report TR10-053, 2010.
    • (2010) ECCC Report TR10-053
    • Khot, S.1    Moshkovitz, D.2
  • 15
    • 1842545358 scopus 로고    scopus 로고
    • Approximation algorithms for classification problems with pairwise relationships: Metric labeling and markov random fields
    • J. Kleinberg and E. Tardos. Approximation algorithms for classification problems with pairwise relationships: metric labeling and markov random fields. Journal of the ACM, 49(5):616-639, 2002.
    • (2002) Journal of the ACM , vol.49 , Issue.5 , pp. 616-639
    • Kleinberg, J.1    Tardos, E.2
  • 17
    • 51849168818 scopus 로고    scopus 로고
    • Optimal algorithms and inapproximability results for every csp?
    • P. Raghavendra. Optimal algorithms and inapproximability results for every csp? In Proc. 40th ACM Symp. on Theory of Computing, pages 245-254, 2008.
    • (2008) Proc. 40th ACM Symp. on Theory of Computing , pp. 245-254
    • Raghavendra, P.1
  • 18
    • 0001226672 scopus 로고    scopus 로고
    • A parallel repetition theorem
    • R. Raz. A parallel repetition theorem. In SIAM Journal on Computing, volume 27, pages 763-803, 1998.
    • (1998) SIAM Journal on Computing , vol.27 , pp. 763-803
    • Raz, R.1
  • 19
    • 0032266121 scopus 로고    scopus 로고
    • Approximation algorithms for constraint satisfaction problemsinvolving at most three variables per constraint
    • U. Zwick. Approximation algorithms for constraint satisfaction problemsinvolving at most three variables per constraint. In Proc. of 9th SODA, pages 201-210, 1998.
    • (1998) Proc. of 9th SODA , pp. 201-210
    • Zwick, U.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.