{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T14:26:27Z","timestamp":1725459987848},"publisher-location":"Berlin, Heidelberg","reference-count":8,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642298424"},{"type":"electronic","value":"9783642298431"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2012]]},"DOI":"10.1007\/978-3-642-29843-1_17","type":"book-chapter","created":{"date-parts":[[2012,5,23]],"date-time":"2012-05-23T12:07:35Z","timestamp":1337774855000},"page":"155-162","source":"Crossref","is-referenced-by-count":4,"title":["Perturbation Bounds for the Nonlinear Matrix Equation"],"prefix":"10.1007","author":[{"given":"Ivan","family":"Popchev","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Petko","family":"Petkov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mihail","family":"Konstantinov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vera","family":"Angelova","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"17_CR1","unstructured":"Grebenikov, E.A., Ryabov, Y.A.: Constructive Methods for Analysis of Nonlinear Systems, Nauka, Moscow (1979) (in Russian)"},{"key":"17_CR2","doi-asserted-by":"publisher","first-page":"1355","DOI":"10.1016\/j.amc.2010.02.044","volume":"216","author":"V.I. Hasanov","year":"2010","unstructured":"Hasanov, V.I.: Notes on Two Perturbation Estimates of the Extreme Solutions to the Equations X \u00b1A\n                  *\n                  X\n                  \u2212\u20091\n                  A\u2009=\u2009Q. Appl. Math. Comput.\u00a0216, 1355\u20131362 (2010)","journal-title":"Appl. Math. Comput."},{"key":"17_CR3","doi-asserted-by":"crossref","unstructured":"Long, J.-H., Hu, X.-Y., Zhang, L.: On the Hermitian Positive Definite Solution of the Nonlinear Matrix Equation X\u2009+\u2009A\n                  \u2009\u2217\u2009\n                  X\n                  \u2212\u20091\n                  A\u2009+\u2009B\n                  \u2009\u2217\u2009\n                  X\n                  \u2212\u20091\n                  B\u2009=\u2009I. Bull. Braz. Math. Soc., New Series. Sociedade Brasileira de Matem\u00e1tica, vol.\u00a039(3), pp. 371\u2013386 (2008)","DOI":"10.1007\/s00574-008-0011-7"},{"key":"17_CR4","volume-title":"Perturbation Theory for Matrix Equations","author":"M.M. Konstantinov","year":"2003","unstructured":"Konstantinov, M.M., Gu, D.W., Mehrmann, V., Petkov, P.H.: Perturbation Theory for Matrix Equations. North-Holland, Amsterdam (2003) ISBN 0-444-51315-9"},{"key":"17_CR5","unstructured":"Konstantinov, M.M., Petkov, P.H., Angelova, V.A., Popchev, I.P.: Sensitivity of a Complex Fractional\u2013Affine Matrix Equation. In: Jub. Sci. Conf. Univ. Arch. Civil Eng. Geod., Sofia, vol.\u00a08, pp. 495\u2013504 (2002)"},{"key":"17_CR6","doi-asserted-by":"publisher","first-page":"529","DOI":"10.1081\/NFA-120014751","volume":"23","author":"M.M. Konstantinov","year":"2002","unstructured":"Konstantinov, M.M., Petkov, P.H.: The Method of Splitting Operators and Lyapunov Majorants in Perturbation Linear Algebra and Control. Numer. Func. Anal. Optim.\u00a023, 529\u2013572 (2002)","journal-title":"Numer. Func. Anal. Optim."},{"issue":"4","key":"17_CR7","first-page":"36","volume":"10","author":"I.P. Popchev","year":"2010","unstructured":"Popchev, I.P., Angelova, V.A.: On the Sensitivity of the Matrix Equations X \u00b1A\n                  \u2009\u2217\u2009\n                  X\n                  \u2212\u20091\n                  A\u2009=\u2009Q. Cybernetics and Information Technologies\u00a010(4), 36\u201361 (2010)","journal-title":"Cybernetics and Information Technologies"},{"key":"17_CR8","unstructured":"Yonchev, A.: Full Perturbation Analysis of the Discrete-Time LMI Based Bounded Output Energy Problem. In: Conf. of Automatics and Informatics, Sofia, vol.\u00a01, pp. 5\u20138 (2010)"}],"container-title":["Lecture Notes in Computer Science","Large-Scale Scientific Computing"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-29843-1_17.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,5,4]],"date-time":"2021-05-04T11:18:06Z","timestamp":1620127086000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-29843-1_17"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"ISBN":["9783642298424","9783642298431"],"references-count":8,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-29843-1_17","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2012]]}}}