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Using the GSVD and the lifting technique to find {P; k+ 1} reflexive and anti-reflexive solutions of AXB = C

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Using the GSVD and the lifting technique to find {P; k+ 1} reflexive and anti-reflexive solutions of AXB = C

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Herrero Debón, A.; Thome, N. (2011). Using the GSVD and the lifting technique to find {P; k+ 1} reflexive and anti-reflexive solutions of AXB = C. Applied Mathematics Letters. 24(7):1130-1141. doi:10.1016/j.aml.2011.01.039

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/52621

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Title: Using the GSVD and the lifting technique to find {P; k+ 1} reflexive and anti-reflexive solutions of AXB = C
Author:
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
The generalized singular value decomposition (GSVD) and the lifting technique combined with the Kronecker product are exploited to find reflexive and anti-reflexive (with respect to a generalized k+1-reflection matrix P) ...[+]
Subjects: Matrix equation , Potent matrix , Reflexive solution , Computational costs , Generalized singular value decomposition , Kronecker product , Lifting techniques , Matrix equations , Numerical example , Reflection matrix , Singular value decomposition
Copyrigths: Reserva de todos los derechos
Source:
Applied Mathematics Letters. (issn: 0893-9659 )
DOI: 10.1016/j.aml.2011.01.039
Publisher:
Elsevier
Publisher version: http://dx.doi.org/10.1016/j.aml.2011.01.039
Thanks:
The authors are very grateful to Professor Rafael Bru for his valuable suggestions and to one of the referees for providing Ref. [7] We also thank the three referees for their valuable comments which allowed us to improve ...[+]
Type: Artículo

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