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Volumn 315, Issue 1-3, 2000, Pages 175-188

Characterization of joint spectral radius via trace

Author keywords

26A15; 26A18; 39A10; 39B12; 65D17; Finiteness conjecture; Joint spectral radius; Trace; Two scale dilation equation; Wavelet

Indexed keywords


EID: 0034414416     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(00)00149-X     Document Type: Article
Times cited : (24)

References (19)
  • 4
    • 24244439204 scopus 로고    scopus 로고
    • Characterization of continuous, four-coefficient scaling functions via matrix spectral radius
    • to appear
    • M. Bröker, X. Zhou, Characterization of continuous, four-coefficient scaling functions via matrix spectral radius, SIAM J. Matrix Anal. Appl., to appear.
    • SIAM J. Matrix Anal. Appl.
    • Bröker, M.1    Zhou, X.2
  • 5
    • 0001064319 scopus 로고
    • Analyses multirésolutions et filtres miroirs en quadrature
    • Cohen A., Ondelettes Analyses multirésolutions et filtres miroirs en quadrature. Ann. Inst. H. Poincaré 7:1990;57-61.
    • (1990) Ann. Inst. H. Poincaré , vol.7 , pp. 57-61
    • Cohen, A.1    Ondelettes2
  • 6
    • 0026626444 scopus 로고
    • The characterization of continuous, four-coefficient scaling functions and wavelets
    • Colella D., Heil C. The characterization of continuous, four-coefficient scaling functions and wavelets. IEEE Trans. Inform. Theory. 38:1992;876-881.
    • (1992) IEEE Trans. Inform. Theory , vol.38 , pp. 876-881
    • Colella, D.1    Heil, C.2
  • 7
    • 21344484187 scopus 로고
    • Characterizations of scaling functions: Continuous solutions
    • Colella D., Heil C. Characterizations of scaling functions: continuous solutions. SIAM J. Matrix Anal. Appl. 15:1994;496-518.
    • (1994) SIAM J. Matrix Anal. Appl. , vol.15 , pp. 496-518
    • Colella, D.1    Heil, C.2
  • 8
    • 0000160525 scopus 로고
    • Two-scale difference equations II. Infinite matrix products, local regularity bounds and fractals
    • Daubechies I., Lagarias J.C. Two-scale difference equations II. Infinite matrix products, local regularity bounds and fractals. SIAM J. Math. Anal. 23:1992;1031-1079.
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 1031-1079
    • Daubechies, I.1    Lagarias, J.C.2
  • 9
    • 0001219086 scopus 로고
    • Sets of matrices all infinite products of which converge
    • Daubechies I., Lagarias J.C. Sets of matrices all infinite products of which converge. LinearAlgebra Appl. 162:1992;227-263.
    • (1992) LinearAlgebra Appl. , vol.162 , pp. 227-263
    • Daubechies, I.1    Lagarias, J.C.2
  • 12
    • 9644300965 scopus 로고    scopus 로고
    • Computing the joint spectral radius
    • Gripenberg G. Computing the joint spectral radius. Linear Algebra Appl. 234:1996;43-60.
    • (1996) Linear Algebra Appl. , vol.234 , pp. 43-60
    • Gripenberg, G.1
  • 13
    • 0002229298 scopus 로고
    • Dilation equation and the smoothness of compactly supported wavelets
    • in: J.L. Benedetto, M.W. Frazier (Eds.), CRC Press, Boca Raton
    • C. Heil, D. Colella, Dilation equation and the smoothness of compactly supported wavelets, in: J.L. Benedetto, M.W. Frazier (Eds.), Wavelets: Mathematics and Applications, CRC Press, Boca Raton, 1994, pp. 163-201.
    • (1994) Wavelets: Mathematics and Applications , pp. 163-201
    • Heil, C.1    Colella, D.2
  • 14
    • 0003089663 scopus 로고    scopus 로고
    • Continuity of the joint spectral radius: Application to wavelets
    • in: A. Bojanczyk, G. Cybenko (Eds.), Springer, New York
    • C. Heil, G. Strang, Continuity of the joint spectral radius: application to wavelets, in: A. Bojanczyk, G. Cybenko (Eds.), Linear Algebra for Signal Processing, IMA Vol. Math. Appl., Springer, New York.
    • Linear Algebra for Signal Processing, IMA Vol. Math. Appl.
    • Heil, C.1    Strang, G.2
  • 15
    • 21844487357 scopus 로고
    • The finiteness conjecture for the generalized spectral radius of a set of matrices
    • Lagarias J.C., Wang Y. The finiteness conjecture for the generalized spectral radius of a set of matrices. Linear Algebra Appl. 214:1995;17-42.
    • (1995) Linear Algebra Appl. , vol.214 , pp. 17-42
    • Lagarias, J.C.1    Wang, Y.2
  • 16
    • 0009652870 scopus 로고
    • Necessary and sufficient conditions for constructing orthonormal wavelet bases
    • Lawton W. Necessary and sufficient conditions for constructing orthonormal wavelet bases. J. Math. Phys. 32:1991;57-61.
    • (1991) J. Math. Phys. , vol.32 , pp. 57-61
    • Lawton, W.1
  • 17
    • 7544234254 scopus 로고    scopus 로고
    • An efficient lower bound for the generalized spectral radius of a set of matrices
    • Maesumi M. An efficient lower bound for the generalized spectral radius of a set of matrices. Linear Algebra Appl. 240:1996;1-7.
    • (1996) Linear Algebra Appl. , vol.240 , pp. 1-7
    • Maesumi, M.1
  • 19
    • 0000719845 scopus 로고
    • A note on the joint spectral radius
    • Rota G.C., Strang G. A note on the joint spectral radius. Indog. Math. 22:1960;379-381.
    • (1960) Indog. Math. , vol.22 , pp. 379-381
    • Rota, G.C.1    Strang, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.