메뉴 건너뛰기




Volumn 439, Issue 8, 2013, Pages 2503-2513

Matrix commutators: Their asymptotic metric properties and relation to approximate joint diagonalization

Author keywords

Commutator; Joint diagonalizability; Pseudo metric

Indexed keywords

3D SHAPE ANALYSIS; APPROXIMATE JOINT DIAGONALIZATION (AJD); HERMITIAN MATRICES; JOINT APPROXIMATE DIAGONALIZATION; MATRIX COMMUTATORS; METRIC PROPERTIES; PSEUDO-METRICES;

EID: 84882852323     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2013.07.013     Document Type: Article
Times cited : (8)

References (26)
  • 1
    • 69249247411 scopus 로고
    • Almost eigenvectors for almost commuting matrices
    • A. Bernstein Almost eigenvectors for almost commuting matrices SIAM J. Appl. Math. 21 1971 232 235
    • (1971) SIAM J. Appl. Math. , vol.21 , pp. 232-235
    • Bernstein, A.1
  • 2
    • 18844397855 scopus 로고    scopus 로고
    • How big can the commutator of two matrices be and how big is it typically?
    • A. Böttcher, and D. Wenzel How big can the commutator of two matrices be and how big is it typically? Linear Algebra Appl. 403 2005 216 228
    • (2005) Linear Algebra Appl. , vol.403 , pp. 216-228
    • Böttcher, A.1    Wenzel, D.2
  • 3
    • 49249122532 scopus 로고    scopus 로고
    • The Frobenius norm and the commutator
    • A. Böttcher, and D. Wenzel The Frobenius norm and the commutator Linear Algebra Appl. 429 2008 1864 1885
    • (2008) Linear Algebra Appl. , vol.429 , pp. 1864-1885
    • Böttcher, A.1    Wenzel, D.2
  • 7
    • 0027812550 scopus 로고
    • Blind beamforming for non-Gaussian signals
    • J.F. Cardoso, and A. Souloumiac Blind beamforming for non-Gaussian signals Radar Signal Process. 140 1993 362 370
    • (1993) Radar Signal Process. , vol.140 , pp. 362-370
    • Cardoso, J.F.1    Souloumiac, A.2
  • 13
    • 70349972818 scopus 로고    scopus 로고
    • Making almost commuting matrices commute
    • M. Hastings Making almost commuting matrices commute Comm. Math. Phys. 291 2009 321 345
    • (2009) Comm. Math. Phys. , vol.291 , pp. 321-345
    • Hastings, M.1
  • 16
    • 0000624542 scopus 로고    scopus 로고
    • Almost commuting selfadjoint matrices and applications
    • Amer. Math. Soc. Providence, RI
    • H. Lin Almost commuting selfadjoint matrices and applications Fields Inst. Commun. vol. 13 1997 Amer. Math. Soc. Providence, RI 193 233
    • (1997) Fields Inst. Commun. , vol.13 VOL. , pp. 193-233
    • Lin, H.1
  • 18
    • 79957937914 scopus 로고    scopus 로고
    • Normal Scalar Curvature Conjecture and its applications
    • Z. Lu Normal Scalar Curvature Conjecture and its applications J. Funct. Anal. 261 2011 1284 1308
    • (2011) J. Funct. Anal. , vol.261 , pp. 1284-1308
    • Lu, Z.1
  • 19
    • 84857119564 scopus 로고    scopus 로고
    • Remarks on the Böttcher-Wenzel inequality
    • Z. Lu Remarks on the Böttcher-Wenzel inequality Linear Algebra Appl. 436 2012 2531 2535
    • (2012) Linear Algebra Appl. , vol.436 , pp. 2531-2535
    • Lu, Z.1
  • 20
    • 0003095621 scopus 로고
    • Beweis des Ergodensatzes und des H-Theorems in der neuen Mechanik
    • J. von Neumann Beweis des Ergodensatzes und des H-Theorems in der neuen Mechanik Z. Phys. 57 1929 30 70
    • (1929) Z. Phys. , vol.57 , pp. 30-70
    • Von Neumann, J.1
  • 22
    • 0040782649 scopus 로고
    • Almost commuting matrices
    • C. Pearcy, and A. Shields Almost commuting matrices J. Funct. Anal. 33 1979 332 338
    • (1979) J. Funct. Anal. , vol.33 , pp. 332-338
    • Pearcy, C.1    Shields, A.2
  • 23
    • 84950826016 scopus 로고
    • Computing discrete minimal surfaces and their conjugates
    • U. Pinkall, and K. Polthier Computing discrete minimal surfaces and their conjugates Experiment. Math. 2 1993 15 36
    • (1993) Experiment. Math. , vol.2 , pp. 15-36
    • Pinkall, U.1    Polthier, K.2
  • 24
    • 21444433091 scopus 로고    scopus 로고
    • Almost commuting self-adjoint matrices - A short proof of Huaxin Lins theorem
    • M. Rordam, and P. Friis Almost commuting self-adjoint matrices - a short proof of Huaxin Lins theorem J. Reine Angew. Math. 479 1996 121 132
    • (1996) J. Reine Angew. Math. , vol.479 , pp. 121-132
    • Rordam, M.1    Friis, P.2
  • 25
    • 84865146630 scopus 로고    scopus 로고
    • Who invented the delta method?
    • J.M. Ver Hoef Who invented the delta method? Amer. Statist. 66 2012 124 127
    • (2012) Amer. Statist. , vol.66 , pp. 124-127
    • Ver Hoef, J.M.1
  • 26
    • 61449122296 scopus 로고    scopus 로고
    • Proof of Böttcher and Wenzels conjecture
    • S.W. Vong, and X.Q. Jin Proof of Böttcher and Wenzels conjecture Oper. Matrices 2 2008 435 442
    • (2008) Oper. Matrices , vol.2 , pp. 435-442
    • Vong, S.W.1    Jin, X.Q.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.