AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
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Rezumat articol ediţie STUDIA UNIVERSITATIS BABEŞ-BOLYAI În partea de jos este prezentat rezumatul articolului selectat. Pentru revenire la cuprinsul ediţiei din care face parte acest articol, se accesează linkul din titlu. Pentru vizualizarea tuturor articolelor din arhivă la care este autor/coautor unul din autorii de mai jos, se accesează linkul din numele autorului. |
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STUDIA MATHEMATICA - Ediţia nr.3 din 2023 | |||||||
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IDENTIFICATION OF INDUCTION CURVES. Autori: LEVENTE LÓCSI. |
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Rezumat: DOI: 10.24193/subbmath.2023.3.01 Received 01 March 2023; Accepted 14 August 2023. Published Online: 2023-09-30 Published Print: 2023-09-30 pp. 467-480 VIEW PDF FULL PDF Induction curves (induction surfaces, induction sets in general) were recently introduced to provide a visual aid to examine the fractions defining the norm of a matrix, along with the discovery and description of p-eigenvectors. In our current investigation we delve into an inverse problem, the identification of induction curves. Namely: could the elements of the matrix and the used power parameter pbe reconstructed given the induction curve, i.e. the case of 2 x 2 matrices is examined. The analytic solution is not possible in most cases already in this planar setting, therefore numerical approximation methods shall be applied. Mathematics Subject Classification (2010): 15A83, 47A30, 65F20, 65F35. Keywords: Matrix norms, power norm, p-norm, induction curves, identification, optimization, p-eigenvectors, Nelder-Mead method. |
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