{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,5,28]],"date-time":"2024-05-28T14:40:08Z","timestamp":1716907208101},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2014,7,2]],"date-time":"2014-07-02T00:00:00Z","timestamp":1404259200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[2015,6]]},"DOI":"10.1007\/s10444-014-9371-2","type":"journal-article","created":{"date-parts":[[2014,7,2]],"date-time":"2014-07-02T01:28:24Z","timestamp":1404264504000},"page":"507-528","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Subdivision schemes, network flows and linear optimization"],"prefix":"10.1007","volume":"41","author":[{"given":"Maria","family":"Charina","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Geir","family":"Dahl","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,7,2]]},"reference":[{"key":"9371_CR1","volume-title":"Network flows: theory, algorithms, and applications","author":"RK Ahuja","year":"1993","unstructured":"Ahuja, R.K., Magnanti, T.L., Orlin, J.B.: Network flows: theory, algorithms, and applications. Prentice-Hall, Englewood Cliffs (1993)"},{"key":"9371_CR2","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1007\/BF01219774","volume":"10","author":"VD Blondel","year":"1997","unstructured":"Blondel, V.D., Tsitsiklis, J.N.: The Lyapunov exponent and joint spectral radius of pairs of matrices are hard - when not impossible - to compute and to approximate. Math. Control. Signals Syst. 10, 31\u201340 (1997)","journal-title":"Math. Control. Signals Syst."},{"key":"9371_CR3","first-page":"1","volume":"170","author":"C Cabrelli","year":"2004","unstructured":"Cabrelli, C., Heil, C., Molter, U.: Self-similarity and multiwavelets in higher dimensions. Mem. Amer. Math. Soc. 170, 1\u201382 (2004)","journal-title":"Mem. Amer. Math. Soc."},{"key":"9371_CR4","first-page":"93","volume":"453","author":"AS Cavaretta","year":"1991","unstructured":"Cavaretta, A.S., Dahmen, W., Micchelli, C.A.: Stationary subdivision. Mem. Amer. Math. Soc. 453, 93 (1991)","journal-title":"Mem. Amer. Math. Soc."},{"key":"9371_CR5","doi-asserted-by":"crossref","first-page":"86","DOI":"10.1016\/j.acha.2011.03.005","volume":"32","author":"M Charina","year":"2012","unstructured":"Charina, M.: W p k \u2212 ${W^{k}_{p}}-$ convergence of subdivision schemes: joint spectral radius versus restricted spectral radius. App. Comp. Harm. Anal. 32, 86\u2013108 (2012)","journal-title":"App. Comp. Harm. Anal."},{"key":"9371_CR6","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1007\/s11075-004-3623-z","volume":"39","author":"M Charina","year":"2005","unstructured":"Charina, M., Conti, C., Sauer, T.: Regularity of multivariate vector subdivision schemes. Numerical algorithms 39, 97\u2013113 (2005)","journal-title":"Numerical algorithms"},{"key":"9371_CR7","first-page":"135","volume-title":"Curve and Surface Fitting: Saint-Malo 1999","author":"C Conti","year":"2000","unstructured":"Conti, C., Jetter, K.: A note on convolving refinable function vectors. In: Cohen, A., Rabut, Ch., Schumaker, L. L. (eds.) Curve and Surface Fitting: Saint-Malo 1999, pp 135\u2013142. Vanderbilt University Press, Nashville (2000)"},{"key":"9371_CR8","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1006\/acha.2001.0363","volume":"12","author":"DR Chen","year":"2002","unstructured":"Chen, D.R., Jia, R.Q., Riemenschneider, S. D.: Convergence of vector subdivision schemes in Sobolev spaces. App. Comp. Harm. Anal. 12, 128\u2013149 (2002)","journal-title":"App. Comp. Harm. Anal."},{"key":"9371_CR9","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-8176-8224-8","volume-title":"An Introduction to Frames and Riesz Bases","author":"O Christensen","year":"2003","unstructured":"Christensen, O.: An Introduction to Frames and Riesz Bases. Basel, Birkh\u00e4user-Verlag (2003)"},{"key":"9371_CR10","doi-asserted-by":"crossref","unstructured":"Chui, C., De Villers, J.: Wavelet Subdivision Methods: Gems for Rendering Curves and Surfaces. Crc Press Inc (2010)","DOI":"10.1201\/b13589"},{"key":"9371_CR11","doi-asserted-by":"crossref","unstructured":"Cook, W.J., Cunningham, W.H., Pulleyblank, W.R., Schrijver, A.: Combinatorial Optimization. Wiley (1998)","DOI":"10.1002\/9781118033142"},{"key":"9371_CR12","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1016\/0024-3795(92)90012-Y","volume":"162","author":"I Daubechies","year":"1992","unstructured":"Daubechies, I., Lagarias, J.C.: Sets of matrices all infinite products of which converge. Linear Algebra Appl. 162, 227\u2013263 (1992)","journal-title":"Linear Algebra Appl."},{"key":"9371_CR13","doi-asserted-by":"crossref","unstructured":"Dyn, N. In: Light, W. (ed.) : Subdivision Schemes in Computer-Aided Geometric Design, Advances in Numerical Analysis II Wavelets, Subdivision Algorithms and Radial Basis Functions, pp 36\u2013104. Clarendon Press, Oxford (1992)","DOI":"10.1093\/oso\/9780198534396.003.0002"},{"key":"9371_CR14","doi-asserted-by":"crossref","unstructured":"Dyn, N., Levin, D.: Subdivision schemes in geometric modelling. In: Acta Numerica, pp 1\u201372. Cambridge University Press (2002)","DOI":"10.1017\/S0962492902000028"},{"key":"9371_CR15","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1016\/0167-8396(90)90025-M","volume":"7","author":"N Dyn","year":"1990","unstructured":"Dyn, N., Levin, D., Micchelli, C.A.: Using parameters to increase smoothness of curves and surfaces generated by subdivision. Comput. Aided Geom. Des. 7, 129\u2013140 (1990)","journal-title":"Comput. Aided Geom. Des."},{"key":"9371_CR16","first-page":"335","volume-title":"Recent Advances in Wavelet Analysis","author":"TNT Goodman","year":"1994","unstructured":"Goodman, T.N.T., Micchelli, C.A., Ward, J.D.: Spectral radius formulas for subdivision operators. In: Schumaker, L. L., Webb, G. (eds.) Recent Advances in Wavelet Analysis, pp 335\u2013360. Academic Press, Boston (1994)"},{"key":"9371_CR17","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1007\/s10208-012-9121-0","volume":"13","author":"N Guglielmi","year":"2013","unstructured":"Guglielmi, N., Protasov, V.: Exact computation of joint spectral characteristics of linear operators. Found. Comput. Math. 13, 37\u201397 (2013)","journal-title":"Found. Comput. Math."},{"key":"9371_CR18","doi-asserted-by":"crossref","first-page":"693","DOI":"10.1137\/S0895479801390868","volume":"24","author":"B Han","year":"2003","unstructured":"Han, B.: Computing the smoothness exponent of a symmetric multivariate refinable function. SIAM J. Matrix Anal. Appl. 24, 693\u2013714 (2003)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"9371_CR19","doi-asserted-by":"crossref","first-page":"3019","DOI":"10.1016\/j.laa.2009.01.018","volume":"430","author":"J Hechler","year":"2009","unstructured":"Hechler, J.: B. M\u00f6\u00dfner, and U. Reif, C1-continuity of the generalized four-point scheme. Linear Algebra Appl. 430, 3019\u20133029 (2009)","journal-title":"Linear Algebra Appl."},{"key":"9371_CR20","first-page":"455","volume":"3","author":"RQ Jia","year":"1995","unstructured":"Jia, R.Q.: Subdivision schemes in L p spaces. Adv. Comput. Math. 3, 455\u2013545 (1995)","journal-title":"Adv. Comput. Math."},{"key":"9371_CR21","doi-asserted-by":"crossref","first-page":"1071","DOI":"10.1137\/S0895479801397858","volume":"24","author":"RQ Jia","year":"2003","unstructured":"Jia, R.Q., Jiang, Q.: Spectral analysis of the transition operator and its application to smoothness analysis of wavelets. SIAM J. Math. Anal. Appl. 24, 1071\u20131109 (2003)","journal-title":"SIAM J. Math. Anal. Appl."},{"key":"9371_CR22","doi-asserted-by":"crossref","unstructured":"Peters, J., Reif, U.: Subdivision Surfaces (Geometry and Computing). Springer (2008)","DOI":"10.1007\/978-3-540-76406-9"},{"key":"9371_CR23","first-page":"621","volume":"229","author":"T Sauer","year":"2002","unstructured":"Sauer, T.: Stationary vector subdivision - quotient ideals, differences and approximation power. RACSAM Rev. R. Acad. Cienc. Exactas F\u00eds. Nat. Ser. A Mat. 229, 621\u2013674 (2002)","journal-title":"RACSAM Rev. R. Acad. Cienc. Exactas F\u00eds. Nat. Ser. A Mat."},{"key":"9371_CR24","unstructured":"Schrijver, A.: Theory of Linear and Integer Programming. Wiley (1986)"},{"key":"9371_CR25","unstructured":"Schrijver, A.: Combinatorial Optimization - Polyhedra and Efficiency. Springer (2003)"},{"key":"9371_CR26","doi-asserted-by":"crossref","unstructured":"Vanderbei, R.: Linear Programming: Foundations and Extensions. Springer (2008)","DOI":"10.1007\/978-0-387-74388-2"}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-014-9371-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-014-9371-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-014-9371-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,5,28]],"date-time":"2024-05-28T14:22:26Z","timestamp":1716906146000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-014-9371-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,7,2]]},"references-count":26,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2015,6]]}},"alternative-id":["9371"],"URL":"https:\/\/doi.org\/10.1007\/s10444-014-9371-2","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,7,2]]}}}