1,467 research outputs found
Contracts, Quality, and Default: Endogenizing a Buyer's Rejection Rate
Replaced with revised version of paper 08/06/07.Consumer/Household Economics, Demand and Price Analysis,
Advanced superconducting magnets investigation
Mathematical models for steady state behavior of composite superconductors and experimental verification using magnet coi
Solving an open problem about the G-Drazin partial order
[EN] G-Drazin inverses and the G-Drazin partial order for square matrices have been both recently introduced by Wang and Liu. They proved the following implication: If A is below B under the G-Drazin partial order, then any G-Drazin inverse of B is also a G-Drazin inverse of A. However, this necessary condition could not be stated as a characterization and the validity (or not) of the converse implication was posed as an open problem. In this paper, this problem is completely solved. It is obtained that the converse, in general, is false, and a form to construct counterexamples is provided. It is also proved that the converse holds under an additional condition (which is also necessary) as well as for some special cases of matrices.Partially supported by Universidad Nacional de RĂo Cuarto (Grant PPI
18/C472), CONICET (Grant PIP 112-201501-00433CO), and by ANPCyT (Grant PICT 2018-03492)
Partially supported by Universidad Nacional de La Pampa, Facultad de IngenierĂa (Grant
Resol. Nro. 155/14)
Partially supported by Ministerio de EconomĂa, Industria y Competitividad of Spain (Grant Red
de Excelencia MTM2017-90682-REDT), and by Universidad Nacional del Sur of Argentina (Grant 24/L108)Ferreyra, DE.; Lattanzi, M.; Levis, FE.; Thome, N. (2020). Solving an open problem about the G-Drazin partial order. The Electronic Journal of Linear Algebra. 36:55-66. http://hdl.handle.net/10251/161871S55663
Two-Phase Cooling of Targets and Electronics for Particle Physics Experiments
An overview of the LTCM labâs decade of experience with two-phase cooling research for computer chips and power electronics will be described with its possible beneficial application to high-energy physics experiments. Flow boiling in multi-microchannel cooling elements in silicon (or aluminium) have the potential to provide high cooling rates (up to as high as 350 W/cm2), stable and uniform temperatures of targets and electronics, and lightweight construction while also minimizing the fluid inventory. An overview of two-phase flow and boiling research in single microchannels and multi-microchannel test elements will be presented together with video images of these flows. The objective is to stimulate discussion on the use of two-phase cooling in these demanding applications, including the possible use of CO2
The weak core inverse
[EN] In this paper, we introduce a new generalized inverse, called weak core inverse (or, in short, WC inverse) of a complex square matrix. This new inverse extends the notion of the core inverse defined by Baksalary and Trenkler (Linear Multilinear Algebra 58(6):681-697, 2010). We investigate characterizations, representations, and properties for this generalized inverse. In addition, we introduce weak core matrices (or, in short, WC matrices) and we show that these matrices form a more general class than that given by the known weak group matrices, recently investigated by H. Wang and X. Liu.In what follows, we detail the acknowledgements. D.E. Ferreyra, F.E. Levis, A.N. Priori - Partially supported by Universidad Nacional de Rio Cuarto (Grant PPI 18/C559) and CONICET (Grant PIP 112-201501-00433CO). D.E. Ferreyra F.E. Levis - Partially supported by ANPCyT (Grant PICT 201803492). D.E. Ferreyra, N. Thome -Partially supported by Universidad Nacional de La Pampa, Facultad de Ingenieria (Grant Resol. Nro. 135/19). N. Thome -Partially supported by Ministerio de Economia, Industria y Competitividad of Spain (Grant Red de Excelencia MTM2017-90682-REDT) and by Universidad Nacional del Sur of Argentina (Grant 24/L108). We would like to thank the Referees for their valuable comments and suggestions which helped us to considerably improve the presentation of the paperFerreyra, DE.; Levis, FE.; Priori, AN.; Thome, N. (2021). The weak core inverse. Aequationes Mathematicae. 95(2):351-373. https://doi.org/10.1007/s00010-020-00752-zS351373952Ben-Israel, A., Greville, T.N.E.: Generalized Inverses: Theory and Applications, 2nd edn. Springer, New York (2003)Baksalary, O.M., Trenkler, G.: Core inverse of matrices. Linear Multilinear Algebra 58(6), 681â697 (2010)Baksalary, O.M., Trenkler, G.: On a generalized core inverse. Appl. Math. Comput. 236(1), 450â457 (2014)Campbell, S.L., Meyer Jr., C.D.: Generalized Inverses of Linear Transformations. SIAM, Philadelphia (2009)Ceryan, N.: Handbook of Research on Trends and Digital Advances in Engineering Geology, Advances in Civil and Industrial Engineering. IGI Global, Hershey (2018)Chen, J.L., MosiÄ, D., Xu, S.Z.: On a new generalized inverse for Hilbert sapce operators. Quaest. Math. (2019). https://doi.org/10.2989/16073606.2019.1619104CvetkoviÄ-IliÄ, D.S., MosiÄ, D., Wei, Y.: Partial orders on . Linear Algebra Appl. 481, 115â130 (2015)DjikiÄ, M.S.: Lattice properties of the core-partial order. Banach J. Math. Anal. 11(2), 398â415 (2017)Doty, K.L., Melchiorri, C., Bonivento, C.: A theory of generalized inverses applied to robotics. Int. J. Robot. Res. 12(1), 1â19 (1993)Drazin, M.P.: Pseudo inverses in associative rings and semigroups. Am. Math. Mon. 65(7), 506â514 (1958)Ferreyra, D.E., Levis, F.E., Thome, N.: Revisiting of the core EP inverse and its extension to rectangular matrices. Quaest. Math. 41(2), 265â281 (2018)Ferreyra, D.E., Levis, F.E., Thome, N.: Maximal classes of matrices determining generalized inverses. Appl. Math. Comput. 333, 42â52 (2018)Ferreyra, D.E., Levis, F.E., Thome, N.: Characterizations of -commutative equalities for some outer generalized inverses. Linear Multilinear Algebra 68(1), 177â192 (2020)Hartwig, R.E., Spindelböck, K.: Matrices for which and conmmute. Linear Multilinear Algebra 14(3), 241â256 (1984)Liu, X., Cai, N.: High-order iterative methods for the DMP inverse. J. Math. Article ID 8175935, 6 p (2018)Malik, S., Thome, N.: On a new generalized inverse for matrices of an arbitrary index. Appl. Math. Comput. 226(1), 575â580 (2014)Malik, S., Rueda, L., Thome, N.: The class of -EP and -normal matrices. Linear Multilinear Algebra 64(11), 2119â2132 (2016)Manjunatha Prasad, K., Mohana, K.S.: Core EP inverse. Linear Multilinear Algebra 62(6), 792â802 (2014)Mehdipour, M., Salemi, A.: On a new generalized inverse of matrices. Linear Multilinear Algebra 66(5), 1046â1053 (2018)Mitra, S.K., Bhimasankaram, P., Malik, S.: Matrix Partial Orders, Shorted Operators and Applications, Series in Algebra, vol. 10. World Scientific Publishing Co. Pte. Ltd., Singapore (2010)MosiÄ, D., StanimiroviÄ, P.S.: Composite outer inverses for rectangular matrices. Quaest. Math. (2019). https://doi.org/10.2989/16073606.2019.1671526Penrose, R.: A generalized inverse for matrices. Math. Proc. Cambr. Philos. Soc. 51(3), 406â413 (1955)RakiÄ, D.S., DinciÄ, N.C., DjordjeviÄ, D.S.: Core inverse and core partial order of Hilbert space operators. Appl. Math. Comput. 244(1), 283â302 (2014)Soleimani, F., StanimiroviÄ, P.S., Soleymani, F.: Some matrix iterations for computing generalized inverses and balancing chemical equations. Algorithms 8(4), 982â998 (2015)TosiÄ, M., CvetkoviÄ-IliÄ, D.S.: Invertibility of a linear combination of two matrices and partial orderings. Appl. Math. Comput. 218(9), 4651â4657 (2012)Wang, X.: Core-EP decomposition and its applications. Linear Algebra Appl. 508(1), 289â300 (2016)Wang, H., Chen, J.: Weak group inverse. Open Math. 16(1), 1218â1232 (2018)Wang, H., Liu, X.: The weak group matrix. Aequ. Math. 93(6), 1261â1273 (2019)Xiao, G.Z., Shen, B.Z., Wu, C.K., Wong, C.S.: Some spectral techniques in coding theory. Discrete Math. 87(2), 181â186 (1991)Zhou, M., Chen, J., StanimiroviÄ, P., Katsikis, V.N., Ma, H.: Complex varying-parameter Zhang neural networks for computing core and core-EP inverse. Neural Process. Lett. 51, 1299â1329 (2020)Zhu, H.: On DMP inverses and -EP elements in rings. 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Extending EP matrices by means of recent generalized inverses
It is well known that a square complex matrix is called EP if it commutes
with its Moore-Penrose inverse. In this paper, new classes of matrices which
extend this concept are characterized. For that, we consider commutative
equalities given by matrices of arbitrary index and generalized inverses
recently investigated in the literature. More specifically, these classes are
characterized by expressions of type , where is an outer inverse
of a given complex square matrix and is an arbitrary positive integer.
The relationships between the different classes of matrices are also analyzed.
Finally, a picture presents an overview of the overall studied classes
ZNF804A genotype modulates neural activity during working memory for faces
Copyright © 2013 S. Karger AG, Basel.Peer reviewedPublisher PD
Uncertainties on Central Exclusive Scalar Luminosities from the unintegrated gluon distributions
In a previous report we used the Linked Dipole Chain model unintegrated gluon
densities to investigate the uncertainties in the predictions for central
exclusive production of scalars at hadron colliders. Here we expand this
investigation by also looking at other parameterizations of the unintegrated
gluon density, and look in more detail on the behavior of these at small k_T.
We confirm our conclusions that the luminosity function for central exclusive
production is very sensitive to this behavior. However, we also conclude that
the available densities based on the CCFM and LDC evolutions are not
constrained enough to give reliable predictions even for inclusive Higgs
production at the LHC
Understanding Difference-in-differences methods to evaluate policy effects with staggered adoption: an application to Medicaid and HIV
While a randomized control trial is considered the gold standard for
estimating causal treatment effects, there are many research settings in which
randomization is infeasible or unethical. In such cases, researchers rely on
analytical methods for observational data to explore causal relationships.
Difference-in-differences (DID) is one such method that, most commonly,
estimates a difference in some mean outcome in a group before and after the
implementation of an intervention or policy and compares this with a control
group followed over the same time (i.e., a group that did not implement the
intervention or policy). Although DID modeling approaches have been gaining
popularity in public health research, the majority of these approaches and
their extensions are developed and shared within the economics literature.
While extensions of DID modeling approaches may be straightforward to apply to
observational data in any field, the complexities and assumptions involved in
newer approaches are often misunderstood. In this paper, we focus on recent
extensions of the DID method and their relationships to linear models in the
setting of staggered treatment adoption over multiple years. We detail the
identification and estimation of the average treatment effect among the treated
using potential outcomes notation, highlighting the assumptions necessary to
produce valid estimates. These concepts are described within the context of
Medicaid expansion and retention in care among people living with HIV (PWH) in
the United States. While each DID approach is potentially valid, understanding
their different assumptions and choosing an appropriate method can have
important implications for policy-makers, funders, and public health as a
whole
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