Relevant bibliographies by topics / Multiplicative Inverses

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Multiplicative Inverses'

Author: Grafiati
Published: 4 June 2021
Last updated: 11 February 2022

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Journal articles on the topic "Multiplicative Inverses"

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Brown, Elizabeth M., and Elizabeth Jones. "Using Clock Arithmetic to Teach Algebra Concepts." Mathematics Teaching in the Middle School 11, no. 2 (2005): 104–9. http://dx.doi.org/10.5951/mtms.11.2.0104.

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Learning algebra concepts can be difficult for middle school students. One reason may be because we work in only one number system, the set of real numbers. Students have only one frame of reference to provide examples of abstract concepts, such as the additive and multiplicative identities, additive and multiplicative inverses, and connections among the operations. These concepts are essential in solving equations. For example, we can think of an equation like 3x + 4 = 7 in the following way: Begin with a number, multiply it by 3, and add 4. If the answer is 7, what number did we start with?
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Alfaro, Ricardo, and Steven C. Althoen. "The Existence of Multiplicative Inverses." College Mathematics Journal 37, no. 3 (2006): 227. http://dx.doi.org/10.2307/27646336.

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BAIER, S. "MULTIPLICATIVE INVERSES IN SHORT INTERVALS." International Journal of Number Theory 09, no. 04 (2013): 877–84. http://dx.doi.org/10.1142/s1793042113500036.

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We give an alternative proof of a recent result by T. D. Browning and A. Haynes (arXiv:1204.6374v1) on multiplicative inverses in sequences of intervals and improve this result under additional conditions on the spacing of these intervals.
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Cherubini, A., and A. Varisco. "Rings satisfying certain conditions either on subsemigroups or on endomorphisms." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 40, no. 2 (1986): 194–202. http://dx.doi.org/10.1017/s1446788700027178.

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AbstractWe characterize rings whose multiplicative subsemigroups containing 0 and the additive inverse of each element are subrings. In addition we consider commutative rings for which every non-constant multiplicative endormorphism that preserves additive inverses is a ring endomorphism, and we show that they belong to one of three easily-described classes of rings.
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Sheibani, Abdolyousefi. "P-Hirano inverses in rings." Filomat 34, no. 13 (2020): 4473–82. http://dx.doi.org/10.2298/fil2013473s.

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We introduce and study a new class of generalized inverses in rings. An element a in a ring R has p-Hirano inverse if there exists b ? R such that bab = b,b ? comm2(a),(a2-ab)k ? J(R) for some k ? N. We prove that a ? R has p-Hirano inverse if and only if there exists p = p2 ? comm2(a) such that (a2-p)k ? J(R) for some k ? N. Multiplicative and additive properties for such generalized inverses are thereby obtained. We then completely determine when a 2 x 2 matrix over local rings has p-Hirano inverse.
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Liu, Huaning. "New pseudorandom sequences constructed using multiplicative inverses." Acta Arithmetica 125, no. 1 (2006): 11–19. http://dx.doi.org/10.4064/aa125-1-2.

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Arazi, Ortal, and Hairong Qi. "On Calculating Multiplicative Inverses Modulo $2^{m}$." IEEE Transactions on Computers 57, no. 10 (2008): 1435–38. http://dx.doi.org/10.1109/tc.2008.54.

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Grošek, Otokar, and Tomáš Fabšič. "Computing multiplicative inverses in finite fields by long division." Journal of Electrical Engineering 69, no. 5 (2018): 400–402. http://dx.doi.org/10.2478/jee-2018-0059.

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Abstract We study a method of computing multiplicative inverses in finite fields using long division. In the case of fields of a prime order p, we construct one fixed integer d(p) with the property that for any nonzero field element a, we can compute its inverse by dividing d(p) by a and by reducing the result modulo p. We show how to construct the smallest d(p) with this property. We demonstrate that a similar approach works in finite fields of a non-prime order, as well. However, we demonstrate that the studied method (in both cases) has worse asymptotic complexity than the extended Euclidea
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Saito, Tatsuhiko. "Naturally ordered regular semigroups with maximum inverses." Proceedings of the Edinburgh Mathematical Society 32, no. 1 (1989): 33–39. http://dx.doi.org/10.1017/s001309150000688x.

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Let S be a regular semigroup. An inverse subsemigroup S° of S is called an inverse transversal if S° contains a unique inverse of each element of S. An inverse transversal S° of S is called multiplicative if x°xyy° is an idempotent of S° for every x, y∈S, where x° denotes the unique inverse of x∈S in S°. In Section 1, we obtain a necessary and sufficient condition in order for inverse transversals to be multiplicative.
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Nikolov-Radenkovic, Jovana. "Some additive and multiplicative results for generalized inverses." Filomat 29, no. 9 (2015): 2049–57. http://dx.doi.org/10.2298/fil1509049n.

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In this paper we give necessary and sufficient conditions for A1{1,3} + A2{1, 3}+ ... + Ak{1,3} ? (A1 + A2 + ... + Ak){1,3} and A1{1,4} + A2{1,4} + ... + Ak{1,4} ? (A1 + A2 + ... + Ak){1,4} for regular operators on Hilbert space. We also consider similar inclusions for {1,2,3}- and {1,2,4}-i inverses. We give some new results concerning the reverse order law for reflexive generalized inverses.
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Dissertations / Theses on the topic "Multiplicative Inverses"

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Hassler, Ryan Scott. "Mathematical comprehension facilitated by situation models: Learning opportunities for inverse relations in elementary school." Diss., Temple University Libraries, 2016. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/410935.

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Math & Science Education<br>Ph.D.<br>The Common Core State Standards call for more rigorous, focused, and coherent curriculum and instruction, has resulted in students being faced with more cognitively high-demanding tasks which involve forming connections within and between fundamental mathematical concepts. Because mathematical comprehension generally relates back to one’s ability to form connections to prior knowledge, this study sought to examine the extent to which current learning environments expose students to connection-making opportunities that may help facilitate mathematical unders
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Hofmann, Bernd. "On multiplication operators occurring in inverse problems of natural sciences and stochastic finance." Universitätsbibliothek Chemnitz, 2005. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200501261.

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We deal with locally ill-posed nonlinear operator equations F(x) = y in L^2(0,1), where the Fréchet derivatives A = F'(x_0) of the nonlinear forward operator F are compact linear integral operators A = M ◦ J with a multiplication operator M with integrable multiplier function m and with the simple integration operator J. In particular, we give examples of nonlinear inverse problems in natural sciences and stochastic finance that can be written in such a form with linearizations that contain multiplication operators. Moreover, we consider the corresponding ill-posed linear operator equations Ax
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Freitag, Melina. "On the Influence of Multiplication Operators on the Ill-posedness of Inverse Problems." Master's thesis, Universitätsbibliothek Chemnitz, 2004. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200401504.

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In this thesis we deal with the degree of ill-posedness of linear operator equations in Hilbert spaces, where the operator may be decomposed into a compact linear integral operator with a well-known decay rate of singular values and a multiplication operator. This case occurs for example for nonlinear operator equations, where the local degree of ill-posedness is investigated via the Frechet derivative. If the multiplier function has got zeroes, the determination of the local degree of ill-posedness is not trivial. We are going to investigate this situation, provide analytical tools as well as
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Fleischer, G., and B. Hofmann. "Ill-Posedness Aspects of Some Nonlinear Inverse Problems and their Linearizations." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801242.

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In this paper we deal with aspects of characterizing the ill-posedn ess of nonlinear inverse problems based on the discussion of specific examples. In particular, a parameter identification problem to a second order differential equation and its ill-posed linear components are under consideration. A new approach to the classification ofill-posedness degrees for multiplication operators completes the paper.
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Mévy, Jean-Philippe. "Régulation, caractérisation de l'activité des invertases et mise en évidence d'une activité myrosinase dans les cellules d'Armoracia rusticana G. , cultivées in vitro." Aix-Marseille 1, 1993. http://www.theses.fr/1993AIX11013.

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Le but de ce travail est d'etudier la regulation, la caracterisation des invertases, et de mettre en evidence une activite myrosinase a partir de cultures cellulaires d'armoracia rusticana. Ces deux marqueurs biologiques sont, respectivement, des enzymes du metabolisme du saccharose et des glucosinolates. Deux types d'invertase acide sont mis en evidence a partir de suspensions cellulaires: l'une intra-cellulaire et l'autre, extra-cellulaire, secretee dans le milieu de culture. Cette derniere, hydrolyse le saccharose exogene, qui ne peut etre utilise directement par nos cellules. La technique
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Sandoval, Solís María Luisa. "Métodos iterativos eficientes para problemas de convección-difusión transitorios." Doctoral thesis, Universitat Politècnica de Catalunya, 2006. http://hdl.handle.net/10803/6717.

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Diversos procesos naturales e industriales de interés medioambiental se modelan a través de la ecuación de convección-difusión-reacción transitoria. Dos aplicaciones tecnológicas que han motivado esta tesis son el funcionamiento de filtros de carbón activo y la dispersión de contaminantes en la atmósfera. Para que la modelización numérica de estos problemas sea eficaz es indispensable contar con un solver lineal eficiente para resolver los sistemas de ecuaciones obtenidos al discretizar la ecuación en derivadas parciales, mediante elementos finitos.<br/>Por ello, el objetivo de esta tesis es r
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Escande, Paul. "Compression et inférence des opérateurs intégraux : applications à la restauration d’images dégradées par des flous variables." Thesis, Toulouse, ISAE, 2016. http://www.theses.fr/2016ESAE0020/document.

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Le problème de restauration d'images dégradées par des flous variables connaît un attrait croissant et touche plusieurs domaines tels que l'astronomie, la vision par ordinateur et la microscopie à feuille de lumière où les images sont de taille un milliard de pixels. Les flous variables peuvent être modélisés par des opérateurs intégraux qui associent à une image nette u, une image floue Hu. Une fois discrétisé pour être appliqué sur des images de N pixels, l'opérateur H peut être vu comme une matrice de taille N x N. Pour les applications visées, la matrice est stockée en mémoire avec un exao
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Yang, Tzung-li, and 楊宗曆. "Multiplication inverse and Division over GF(2^m)." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/14918455957473083747.

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碩士<br>國立中正大學<br>通訊工程研究所<br>96<br>Most of digital communication systems need cryptosystems. Many of these cryptosystems require computation in Galois (finite) fields. In this thesis, it focuses on Double-Basis, Normal-Basis and Dual-Basis inversion algorithm. To compares the complexity of them is its aim. At the complex aspect, Dual-Basis inversion algorithm is simplest. At the speed aspect, Dual-Basis inversion algorithm is also quickest.
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Wu, Teng-Hwa, and 吳登華. "Systolic Architectures for Multiplication, Exponentiation, Division and Inverse Modulo 2/sup N/-1." Thesis, 2000. http://ndltd.ncl.edu.tw/handle/87175834132544121135.

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碩士<br>長庚大學<br>電機工程研究所<br>88<br>Digital signature is an important technique for processing electronic document. The ElGamal’s signature scheme is one of the most well-known and widely used signature schemes. To sign the message m, the computation for the function of s=(m-xr)/k mod 2/sup N/-1 is necessary if the ElGamal’s scheme is realized with the Galois field GF(2/sup m/). To reduce the system complexity and speed up the signature procedure, a systolic architecture for computing multiplications modulo 2/sup N/-1 is proposed in this thesis. The architecture is very regular and modul
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Kai-JunJiang and 江鎧均. "A Unified Selectable Fixed-Coefficient and Multiplication-Free Architecture Design for Forward and Inverse MDCT/MDST Algorithms." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/99318474902977483986.

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Books on the topic "Multiplicative Inverses"

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Senthil Kumar, B. V., and Hemen Dutta. Multiplicative Inverse Functional Equations. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-45355-8.

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Dutta, Hemen, and B. V. Senthil Kumar. Multiplicative Inverse Functional Equations: Theory and Applications. Springer, 2020.

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Mann, Peter. The (Not So?) Basics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0030.

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This chapter discusses matrices. Matrices appear in many instances across physics, and it is in this chapter that the background necessary for understanding how to use them in calculations is provided. Although matrices can be a little daunting upon first exposure, they are very handy for a lot of classical physics. This chapter reviews the basics of matrices and their operations. It discusses square matrices, adjoint matrices, cofactor matrices and skew-symmetric matrices. The concepts of matrix multiplication, transpose, inverse, diagonal, identity, Pfaffian and determinant are examined. The
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Nunes, Terezinha. Thinking in Action and Beyond. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780190880545.003.0013.

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Before children learn to use language, they learn about the world in action and by imitation. This learning provides the basis for language acquisition. Learning by imitation and thinking in action continue to be significant throughout life. Mathematical concepts are grounded in children’s schemas of action, which are action patterns that represent a logical organization that can be applied to different objects. This chapter describes some of the conditions that allow deaf or hard-of-hearing (DHH) children to learn by imitation and use schemas of action successfully to solve mathematical probl
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Book chapters on the topic "Multiplicative Inverses"

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Yoo, Hyeong Seon, and Dongryeol Lee. "Computation of Multiplicative Inverses in GF(2 n ) Using Palindromic Representation." In Computational Science and Its Applications – ICCSA 2004. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-24707-4_62.

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Zaman, J. K. M. Sadique Uz, Sankhanil Dey, and Ranjan Ghosh. "Dynamic Ciphering-15 Based on Multiplicative Polynomial Inverses Over Galois Field GF(73)." In Advances in Intelligent Systems and Computing. Springer India, 2015. http://dx.doi.org/10.1007/978-81-322-2650-5_3.

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Senthil Kumar, B. V., and Hemen Dutta. "Introduction to Functional Equations and Ulam Stability Theory." In Multiplicative Inverse Functional Equations. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-45355-8_1.

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Senthil Kumar, B. V., and Hemen Dutta. "Stability and Instability of Multiplicative Inverse Type Tredecic and Quottuordecic Functional Equations in Non-archimedean Spaces." In Multiplicative Inverse Functional Equations. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-45355-8_2.

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Senthil Kumar, B. V., and Hemen Dutta. "Estimation of Inexact Multiplicative Inverse Type Quindecic and Sexdecic Functional Equations in Felbin’s Type Fuzzy Normed Spaces." In Multiplicative Inverse Functional Equations. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-45355-8_3.

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Senthil Kumar, B. V., and Hemen Dutta. "Classical Approximations of Multiplicative Inverse Type Septendecic and Octadecic Functional Equations in Quasi-$$\beta $$-normed Spaces." In Multiplicative Inverse Functional Equations. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-45355-8_4.

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Senthil Kumar, B. V., and Hemen Dutta. "Ulam Stabilities of Multiplicative Inverse Type Novemdecic and Vigintic Functional Equations in Intuitionistic Fuzzy Normed Spaces." In Multiplicative Inverse Functional Equations. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-45355-8_5.

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Senthil Kumar, B. V., and Hemen Dutta. "Solution to the Ulam Stability Problem of Multiplicative Inverse Type Unvigintic and Duovigintic Functional Equations in Paranormed Spaces." In Multiplicative Inverse Functional Equations. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-45355-8_6.

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Senthil Kumar, B. V., and Hemen Dutta. "Inexact Solution of Multiplicative Inverse Type Trevigintic and Quottuorvigintic Functional Equations in Matrix Normed Spaces." In Multiplicative Inverse Functional Equations. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-45355-8_7.

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Kim, Hyun-Gyu, and Hyeong-Cheol Oh. "Efficient Hardware Multiplicative Inverters." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/3-540-36552-4_22.

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Conference papers on the topic "Multiplicative Inverses"

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Wei, Shugang. "Computation of modular multiplicative inverses using residue signed-digit additions." In 2016 International SoC Design Conference (ISOCC). IEEE, 2016. http://dx.doi.org/10.1109/isocc.2016.7799745.

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Monfared, Amin, Hayssam El-Razouk, and Arash Reyhani-Masoleh. "A New Multiplicative Inverse Architecture in Normal Basis Using Novel Concurrent Serial Squaring and Multiplication." In 2017 IEEE 24th Symposium on Computer Arithmetic (ARITH). IEEE, 2017. http://dx.doi.org/10.1109/arith.2017.37.

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Aboud, S. J. "Baghdad method for calculating multiplicative inverse." In International Conference on Information Technology: Coding and Computing, 2004. Proceedings. ITCC 2004. IEEE, 2004. http://dx.doi.org/10.1109/itcc.2004.1286759.

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Engelken, Sonke, Alexander Lanzon, Sourav Patra, and George Papageorgiou. "Distance measures for linear systems with multiplicative and inverse multiplicative uncertainty characterisation." In 2010 49th IEEE Conference on Decision and Control (CDC). IEEE, 2010. http://dx.doi.org/10.1109/cdc.2010.5717675.

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Abu-gellban, Hashim, and Long Nguyen. "CDMI: A Clockwise-Displacement Algorithm to Compute Multiplicative Inverse." In 2020 International Conference on Computational Science and Computational Intelligence (CSCI). IEEE, 2020. http://dx.doi.org/10.1109/csci51800.2020.00261.

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Barchuk, O. I., A. A. Goloborodko, V. B. Khimenko, and V. N. Kurashov. "Multiplicative Noise: Simulation of Light Scattering by Atmospheric Perturbations." In 2007 XIIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory. IEEE, 2007. http://dx.doi.org/10.1109/diped.2007.4373576.

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Rahma, Mohammed, Ivan Zholubak, and Valerii Hlukhov. "Devices for multiplicative inverse calculation in the binary Galois fields." In 2018 IEEE 9th International Conference on Dependable Systems, Services and Technologies (DESSERT). IEEE, 2018. http://dx.doi.org/10.1109/dessert.2018.8409141.

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Emami, Tooran, and John M. Watkins. "Robust performance design of PID controllers with inverse multiplicative uncertainty." In 2011 American Control Conference. IEEE, 2011. http://dx.doi.org/10.1109/acc.2011.5991386.

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Sivan, Dmitri D., and Yitshak M. Ram. "On the Inverse Multiplicative Eigenvalue Problem With an Engineering Application." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0688.

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Abstract The problem of determining the masses of a mass-spring system is an inverse multiplicative eigenvalue problem. Generally, the solutions of this problem are not yet fully characterised. Since all known methods of solution follow an iterative approach, the possibility of developing a closed-form algorithm is examined. Although such method is found for the two and three degree-of-freedom systems, it appears to be impractical for higher order systems. Two well known existing algorithms are then examined numerically. Both converge locally at a quadratic rate. However, for practical applica
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Roche, Daniel S. "Error Correction in Fast Matrix Multiplication and Inverse." In ISSAC '18: International Symposium on Symbolic and Algebraic Computation. ACM, 2018. http://dx.doi.org/10.1145/3208976.3209001.

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