The generalized inverse

Keywords

Inverse, Generalized inverse, Mathematics, Matrix (chemical analysis), Applied mathematics

References

• Calculus of generalized inverses of matrices Part I. General theoryC. Radhakrishna Rao — 1967
• DOMINO: an APL primitive function for matrix inversion -- -- its implementation and applicationsMichael Jenkins — 1972
• Applied Linear AlgebraBenjamin Noble — 1969
• A Course in APL/360 with ApplicationsHenry Mullish, Louis David Grey — 1974
• Linear Statistical Inference and Its ApplicationsNorman L. Johnson — 1966
• Generalized Inverse of Matrices and Its ApplicationsK. S. Banerjee — 1973
• A Note on a Generalized Inverse of a Matrix with Applications to Problems in Mathematical StatisticsC. Radhakrishna Rao — 1962
• Further contributions to the theory of generalized inverse of matrices and its applicationsC. Mallikarjuna Rao, Sujit Kumar Mitra — 1971
• Computers in the Teaching of StatisticsD. A. Evans — 1973
• Linear ModelsS. R. Searle, S. R. Searle — 1971
• Generalized inverse matrices with applications to statisticsPringle, Robert M., Rayner, Arthur A. — 1971

Cited by

• Análisis de la perturbación de la inversa de Drazin de matrices, elementos en anillos y operadores acotados en espacios de BanachJosé Ignacio Velez Cerrada — 2011
• Parameter estimation and modeling of hydrogenated amorphous siliconJi Cheol Kim, R. J. Schwartz — 1996
• A row space method for solving a system of linear equationsMichael F. Zimmer — 2013
• Simulated tomographic reconstruction of ocean features using drifting acoustic receivers and a navigated sourceTimothy F. Duda, Richard Pawlowicz, James F. Lynch — 1995
• Representation and approximation for generalized inverseAT,S(2): RevisitedBing Zheng, Guorongg Wang — 2006
• Chi-Squared Type Test for the AFT-Generalized Inverse Weibull DistributionHafida Goual, Nacira Seddik-Ameur — 2014
• Autonomous broadcast ephemeris improvement for GNSS using inter-satellite ranging measurementsHongliang Xu, Jinling Wang, Xingqun Zhan — 2012
• Ecopath with Ecosim: methods, capabilities and limitationsVilly Christensen, Carl J. Walters — 2004
• Feature detection using the general linear modelMenila James — 1980
• Linking oceanic food webs to coastal production and growth rates of Pacific salmon (Oncorhynchus spp.), using models on three scalesKerim Aydin, Gordon A. McFarlane, Jacquelynne R. King — 2005
• Can overfishing be responsible for the successful establishment of Mnemiopsis leidyi in the Black SeaAli Cemal Gücü — 2002
• A survey of extensions to APLKarl Fritz Ruehr — 1982
• Automated parameter optimization for Ecopath ecosystem modelsP Kavanagh, Nathaniel K. Newlands, Villy Christensen — 2004
• GBR-prawn: modelling ecosystem impacts of changes in fisheries management of the commercial prawn (shrimp) trawl fishery in the far northern Great Barrier ReefNeil Gribble — 2003
• An APL algorithm for finding the generalized inverse of a matrixP. Sarachik, Ümi̇t Özgüner — 1979
• Forward order law for the generalized inverses of multiple matrix productZhiping Xiong, Bing Zheng — 2007
• Integration of subsystems models as a tool toward describing feeding interactions and fisheries impacts in a large marine ecosystem, the Gulf of MexicoLaura Vidal, Daniel Pauly — 2004
• A weak constraint inverse for a zero-dimensional marine ecosystem modelL.-J. Natvik, Mette Eknes, Geir Evensen — 2001
• Condition number of Bott-Duffin inverse and their condition numbersYimin Wei, Wei Xu — 2003
• ECOPATH II − a software for balancing steady-state ecosystem models and calculating network characteristicsVilly Christensen, Daniel Pauly — 1992

Related papers

• New characterizations of the generalized Moore-Penrose inverse of matricesYang Chen, Kezheng Zuo, Zhimei Fu — 2021
• Weighted generalized Moore–Penrose inverseDijana Mosić — 2023
• Extremal definitions of generalized inversesMichael P. Drazin — 1992
• Note on the Generalized Inverse of the Product of MatricesRandall E. Cline — 1964
• Generalization of the Moore–Penrose inverseKatarina Stojanović, Dijana Mosić — 2020
• A unified approach for the recursive determination of generalized inversesFirdaus E. Udwadia, F.E. Kalaba — 1999
• THE GENERALIZED MOORE-PENROSE INVERSE OF MORPHISM IN CATEGORYZhijian Wang — 2002
• Properties of the CMP inverse and its computationDijana Mosić, Predrag S. Stanimirović, Vasilios N. Katsikis — 2022