{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T05:28:20Z","timestamp":1725514100177},"publisher-location":"Basel","reference-count":12,"publisher":"Birkh\u00e4user Basel","isbn-type":[{"type":"print","value":"9783764386832"},{"type":"electronic","value":"9783764386849"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/978-3-7643-8684-9_7","type":"book-chapter","created":{"date-parts":[[2008,5,27]],"date-time":"2008-05-27T01:38:22Z","timestamp":1211852302000},"page":"173-185","source":"Crossref","is-referenced-by-count":2,"title":["Factorization Algorithm for Some Special Matrix Functions"],"prefix":"10.1007","author":[{"given":"Ana C.","family":"Concei\u00e7\u00e3o","sequence":"first","affiliation":[]},{"given":"Viktor G.","family":"Kravchenko","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"7_CR1","volume-title":"Operator Theory: Advances and Applications","author":"H. Bart","year":"1979","unstructured":"H. Bart, I. Gohberg, and M.A. Kaashoek, Minimal Factorization of Matrix and Operator Functions, Operator Theory: Advances and Applications 1, Birkh\u00e4user Verlag, Basel-Boston, 1979."},{"key":"7_CR2","volume-title":"Operator Theory: Advances and Applications","author":"K. Clancey","year":"1981","unstructured":"K. Clancey and I. Gohberg, Factorization of Matrix Functions and Singular Integral Operators, Operator Theory: Advances and Applications 3, Birkh\u00e4user Verlag, Basel-Boston, 1981."},{"key":"7_CR3","doi-asserted-by":"crossref","unstructured":"A.C. Concei\u00e7\u00e3o and V.G. Kravchenko, About explicit factorization of some classes of non-rational matrix functions, to appear in Mathematische Nachrichten 280, No. 9\u201310, (2007), 1022\u20131034.","DOI":"10.1002\/mana.200510533"},{"key":"7_CR4","first-page":"91","volume":"142","author":"A.C. Concei\u00e7\u00e3o","year":"2003","unstructured":"A.C. Concei\u00e7\u00e3o, V.G. Kravchenko, and F.S. Teixeira, Factorization of matrix functions and the resolvents of certain operators, in Operator Theory: Advances and Applications, Birkh\u00e4user Verlag 142 (2003), 91\u2013100.","journal-title":"Operator Theory: Advances and Applications"},{"key":"7_CR5","doi-asserted-by":"crossref","unstructured":"A.C. Concei\u00e7\u00e3o, V.G. Kravchenko, and F.S. Teixeira, Factorization of some classes of matrix functions and the resolvent of a Hankel operator, in Factorization, Singular Operators and Related Problems, Kluwer Academic Publishers (2003), 101\u2013110.","DOI":"10.1007\/978-94-017-0227-0_8"},{"key":"7_CR6","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1016\/S0024-3795(02)00288-4","volume":"353","author":"T. Ehrhardt","year":"2002","unstructured":"T. Ehrhardt, and F.-O. Speck, Transformation techniques towards the factorization of non-rational 2\u00d72 matrix functions, Linear Algebra and its applications 353 (2002), 53\u201390.","journal-title":"Linear Algebra and its applications"},{"key":"7_CR7","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-69969-9","volume-title":"Hamiltonian Methods in the Theory of Solitons","author":"L.D. Faddeev","year":"1987","unstructured":"L.D. Faddeev and L.A. Takhtayan, Hamiltonian Methods in the Theory of Solitons, Springer-Verlag, Berlin, 1987."},{"key":"7_CR8","first-page":"149","volume-title":"Integral Equations and Operator Theory","author":"I. Feldman","year":"2004","unstructured":"I. Feldman, I. Gohberg, and N. Krupnik, An Explicit Factorization Algorithm, Integral Equations and Operator Theory, Birkh\u00e4user Verlag, Basel 49 ( 2004), 149\u2013164."},{"key":"7_CR9","first-page":"319","volume":"52","author":"V.G. Kravchenko","year":"1995","unstructured":"V.G. Kravchenko and A.I. Migdal\u2019skii, A regularization algorithm for some boundary-value problems of linear conjugation (English), Dokl. Math. 52 (1995), 319\u2013321.","journal-title":"Dokl. Math."},{"key":"7_CR10","volume-title":"Mathematics and its Applications","author":"G.S. Litvinchuk","year":"2000","unstructured":"G.S. Litvinchuk, Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift, Mathematics and its Applications 523, Kluwer Academic Publishers, Dordrecht, 2000."},{"key":"7_CR11","volume-title":"Operator Theory: Advances and Applications","author":"G.S. Litvinchuk","year":"1987","unstructured":"G.S. Litvinchuk and I.M. Spitkovskii, Factorization of Measurable Matrix Functions, Operator Theory: Advances and Applications 25, Birkh\u00e4user Verlag, Basel, 1987."},{"key":"7_CR12","volume-title":"Some Classes of Singular Equations","author":"S. Pr\u00f6ssdorf","year":"1978","unstructured":"S. Pr\u00f6ssdorf, Some Classes of Singular Equations, North-Holland, Amsterdam, 1978."}],"container-title":["Operator Theory: Advances and Applications","Operator Algebras, Operator Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-7643-8684-9_7.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,23]],"date-time":"2020-11-23T10:25:00Z","timestamp":1606127100000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-7643-8684-9_7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783764386832","9783764386849"],"references-count":12,"URL":"https:\/\/doi.org\/10.1007\/978-3-7643-8684-9_7","relation":{},"subject":[]}}