{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,22]],"date-time":"2025-03-22T08:50:41Z","timestamp":1742633441590},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[1992,10,1]],"date-time":"1992-10-01T00:00:00Z","timestamp":717897600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Multidim Syst Sign Process"],"published-print":{"date-parts":[[1992,10]]},"DOI":"10.1007\/bf01940227","type":"journal-article","created":{"date-parts":[[2005,7,26]],"date-time":"2005-07-26T21:09:44Z","timestamp":1122412184000},"page":"309-322","source":"Crossref","is-referenced-by-count":3,"title":["Model reduction of multidimensional linear shift-invariant recursive systems using Pad\u00e9 techniques"],"prefix":"10.1007","volume":"3","author":[{"given":"A.","family":"Cuyt","sequence":"first","affiliation":[]},{"given":"S.","family":"Ogawa","sequence":"additional","affiliation":[]},{"given":"B.","family":"Verdonk","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"BF01940227_CR1","volume-title":"Multidimensional Digital Signal Processing","author":"D. Dudgeon","year":"1984","unstructured":"D. Dudgeon and R. Mersereau,Multidimensional Digital Signal Processing, Englewood Cliffs, NJ: Prentice-Hall, 1984."},{"key":"BF01940227_CR2","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1016\/0377-0427(86)90076-2","volume":"14","author":"A. Bultheel","year":"1986","unstructured":"A. Bultheel and M. Van Barel, \u201cPad\u00e9 Techniques for Model Reduction in Linear System Theory,\u201dJ. Comput. Appl. Math., vol. 14, 1986, pp. 401\u2013438.","journal-title":"J. Comput. Appl. Math."},{"key":"BF01940227_CR3","doi-asserted-by":"crossref","first-page":"558","DOI":"10.1109\/TCS.1986.1085942","volume":"CAS-33","author":"E.I. Jury","year":"1986","unstructured":"E.I. Jury, and K. Premaratne, \u201cModel Reduction of Two-Dimensional Discrete Systems,\u201dIEEE Trans. Circ. Syst., vol. CAS-33, 1986, pp. 558\u2013561.","journal-title":"IEEE Trans. Circ. Syst."},{"key":"BF01940227_CR4","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1109\/TCS.1980.1084833","volume":"CAS-27","author":"P.N. Paraskevopoulos","year":"1980","unstructured":"P.N. Paraskevopoulos, \u201cPad\u00e9-Type Order Reduction of Two-Dimensional Systems,\u201dIEEE Trans. Circ. Syst., vol. CAS-27, 1980, 413\u2013416.","journal-title":"IEEE Trans. Circ. Syst."},{"key":"BF01940227_CR5","doi-asserted-by":"crossref","unstructured":"G. Subba Rao, P. Karivaratharajan, and K.P. Rajappan, \u201cA General Form of Continued Fraction Expansion for Two-Dimensional Recursive Digital Fitlers,\u201dIEEE Trans. Signal Proc., 1977, pp. 198\u2013200.","DOI":"10.1109\/TASSP.1977.1162931"},{"key":"BF01940227_CR6","first-page":"479","volume":"CAS-23","author":"G. Subba Rao","year":"1976","unstructured":"G. Subba Rao, P. Karivaratharajan and K.P. Rajappan, \u201cOn Realization of Two-Dimensional Digital Filter Structures,\u201dIEEE Trans. Circ. Syst., vol. CAS-23, 1976, p. 479.","journal-title":"IEEE Trans. Circ. Syst."},{"key":"BF01940227_CR7","unstructured":"A. Cichocki, \u201cGeneralized Continued Fraction Expansion of Multidimensional Rational Functions and Its Applications in Synthesis,\u201dProc. ECCTD, 1980, pp. 286\u2013291."},{"key":"BF01940227_CR8","unstructured":"A. Cichocki, \u201cModelling ofn-dimensional Functions Using Multibranch Continued Fractions,\u201dProc. ECCTD, 1980, pp. 331\u2013336."},{"key":"BF01940227_CR9","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1016\/0377-0427(85)90019-6","volume":"12","author":"A. Cuyt","year":"1985","unstructured":"A. Cuyt, \u201cA Review of Multivarite Pad\u00e9 Approximation Theory,\u201dJ. Comput. Appl. Math., vols. 12, 13, 1985, pp. 221\u2013232.","journal-title":"J. Comput. Appl. Math."},{"key":"BF01940227_CR10","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1007\/BF01939363","volume":"26","author":"A. Cuyt","year":"1986","unstructured":"A. Cuyt, \u201cMultivariate Pad\u00e9 Approximants Revisited,\u201dBIT, vol. 26, 1986, pp. 71\u201379.","journal-title":"BIT"},{"key":"BF01940227_CR11","doi-asserted-by":"crossref","first-page":"228","DOI":"10.1137\/0724019","volume":"24","author":"A. Cuyt","year":"1987","unstructured":"A. Cuyt, \u201cA Recursive Computation Scheme for Multivariate Rational Interpolants,\u201dSIAM J. Numer. Anal., vol. 24, 1987, pp. 228\u2013238.","journal-title":"SIAM J. Numer. Anal."},{"key":"BF01940227_CR12","doi-asserted-by":"crossref","first-page":"509","DOI":"10.1109\/TAC.1980.1102329","volume":"AC-25","author":"N. Bose","year":"1980","unstructured":"N. Bose and S. Basu, \u201cTwo-Dimensional Matrix Pad\u00e9 Approximants: Existence, Nonuniqueness and Recursive Computation,\u201dIEEE Trans. Autom. Control, vol. AC-25, 1980, pp. 509\u2013514.","journal-title":"IEEE Trans. Autom. Control"},{"key":"BF01940227_CR13","doi-asserted-by":"crossref","first-page":"98","DOI":"10.1007\/BF01934698","volume":"28","author":"A. Cuyt","year":"1988","unstructured":"A. Cuyt, \u201cA Multivariate qd-like Algorithm,\u201dBIT, vol. 28, 1988, pp. 98\u2013112.","journal-title":"BIT"},{"key":"BF01940227_CR14","unstructured":"H. Allouche and A. Cuyt, \u201cSingular Rules for a Multivariate Quotient-Difference Algorithm,\u201d to appear."},{"key":"BF01940227_CR15","unstructured":"J. Abouir and A. Cuyt, \u201cMultivariate Partial Newton-Pad\u00e9 and Newton-Pad\u00e9-Type Approximants,\u201d to appear."},{"key":"BF01940227_CR16","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1016\/0377-0427(90)90415-V","volume":"32","author":"A. Cuyt","year":"1990","unstructured":"A. Cuyt, \u201cA Multivariate Convergence Theorem of the \u201cMontessus de Ballore Type,\u201dJ. Comput. Appl. Math., vol. 32, 1990, pp. 47\u201357.","journal-title":"J. Comput. Appl. Math."},{"key":"BF01940227_CR17","unstructured":"A. Cuyt, \u201cExtension of \u2018A Multivariate Convergence Theorem of the Montessus de Ballore Type\u2019 to Multipoles,\u201d to appear."}],"container-title":["Multidimensional Systems and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01940227.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01940227\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01940227","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,8]],"date-time":"2020-04-08T10:51:57Z","timestamp":1586343117000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01940227"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,10]]},"references-count":17,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1992,10]]}},"alternative-id":["BF01940227"],"URL":"https:\/\/doi.org\/10.1007\/bf01940227","relation":{},"ISSN":["0923-6082","1573-0824"],"issn-type":[{"value":"0923-6082","type":"print"},{"value":"1573-0824","type":"electronic"}],"subject":[],"published":{"date-parts":[[1992,10]]}}}