Found 84 Documents (Results 1–84)
On the construction of \(4 \times 4\) lightweight involutory MDS matrices over \(\mathbb{F}_{2^8}\). (English) Zbl 1498.94068
Giri, Debasis (ed.) et al., Proceedings of the seventh international conference on mathematics and computing, ICMC 2021, Shibpur, India, March 2–5, 2021. Singapore: Springer. Adv. Intell. Syst. Comput. 1412, 725-736 (2022).
Construction of MDS matrices combining the Feistel, Misty and Lai-Massey schemes. (English) Zbl 1486.94079
On the construction of involutory MDS matrices over \(\mathbb{F}_{2^m}\). (English) Zbl 1447.15028
MSC:
15B33
Spectral study of \(\{ R, s + 1, k \}\)- and \(\{R, s + 1, k, \ast \}\)-potent matrices. (English) Zbl 1437.15010
On the singular value decomposition of (skew-)involutory and (skew-)coninvolutory matrices. (English) Zbl 1433.15013
The canonical form of involutory matrices over the domain of principal ideals with respect to the similarity transformation. (Ukrainian, English) Zbl 1474.15032
Reviewer: V. I. Zhukovsky (Moscow)
Cryptographically significant MDS matrices over finite fields: a brief survey and some generalized results. (English) Zbl 1419.94038
Direct constructions of (involutory) MDS matrices from block Vandermonde and Cauchy-like matrices. (English) Zbl 1445.94038
Budaghyan, Lilya (ed.) et al., Arithmetic of finite fields. 7th international workshop, WAIFI 2018, Bergen, Norway, June 14–16, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11321, 275-290 (2018).
Algorithms for solving the inverse problem associated with \(KAK=A^{s+1}\). (English) Zbl 1390.15058
On the construction of lightweight circulant involutory MDS matrices. (English) Zbl 1387.94088
Peyrin, Thomas (ed.), Fast software encryption. 23rd international conference, FSE 2016, Bochum, Germany, March 20–23, 2016. Revised selected papers. Berlin: Springer (ISBN 978-3-662-52992-8/pbk; 978-3-662-52993-5/ebook). Lecture Notes in Computer Science 9783, 121-139 (2016).
MSC:
94A60
The finite basis property of a certain semigroup of upper triangular matrices over a field. (English) Zbl 1347.20063
Cryptographically significant MDS matrices based on circulant and circulant-like matrices for lightweight applications. (English) Zbl 1365.94432
A nonfinitely based semigroup of triangular matrices. (English) Zbl 1334.20047
Romeo, P.G. (ed.) et al., Semigroups, algebras and operator theory. Selected papers of the conference, ICSAOT-2014, Kochi, India, February 26–28, 2014. New Delhi: Springer (ISBN 978-81-322-2487-7/hbk; 978-81-322-2488-4/ebook). Springer Proceedings in Mathematics & Statistics 142, 27-38 (2015).
Reviewer: Peter R. Jones (Milwaukee)
On the idempotency, involution and nilpotency of a linear combination of two matrices. (English) Zbl 1391.15113
Several Anzahl theorems of matrices over Galois rings and their applications. (English) Zbl 1310.05037
Linear maps on matrix algebra Jordan derivable at involutory matrices. (English) Zbl 1306.15005
Reviewer: David Ssevviiri (Kampala)
Special elements in a ring related to Drazin inverses. (English) Zbl 1279.15009
Reviewer: Juan Ramon Torregrosa Sanchez (Valencia)
On constructions of involutory MDS matrices. (English) Zbl 1312.94038
Youssef, Amr (ed.) et al., Progress in cryptology – AFRICACRYPT 2013. 6th international conference on cryptology in Africa, Cairo, Egypt, June 22–24, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-38552-0/pbk). Lecture Notes in Computer Science 7918, 43-60 (2013).
MSC:
94A60
Relations between \(\{ K; s+1\} \)-potent matrices and different classes of complex matrices. (English) Zbl 1264.15019
Reviewer: Ludwig Kohaupt (Berlin)
Symmetry and pattern in projective geometry. (English) Zbl 1262.51001
London: Springer (ISBN 978-1-4471-4630-8/pbk; 978-1-4471-4631-5/ebook). xii, 184 p. (2013).
Reviewer: Rolf Riesinger (Wien)
On a disjoint idempotent decomposition for linear combinations produced from \(n\) commutative tripotent matrices. (English) Zbl 1293.15008
MSC:
15A23
65F30
Group invertibility of combinations of two tripotent matrices. (Chinese. English summary) Zbl 1289.15011
Tripotency of a linear combination of two involutory matrices and a tripotent matrix that mutually commute. (English) Zbl 1247.15013
Linear Algebra Appl. 437, No. 9, 2091-2109 (2012); corrigendum ibid. 477, 211-212 (2015).
Reviewer: A. Arvanitoyeorgos (Patras)
MSC:
15A27
The group involutory matrix of the combinations of two idempotent matrices. (English) Zbl 1250.15005
MSC:
15A09
Characterizations of \(\{K,s+1\}\)-potent matrices and applications. (English) Zbl 1232.15003
Reviewer: Süleyman Güler (Aydin)
Two universal similarity factorization equalities for commutative involutory and idempotent matrices and their applications. (English) Zbl 1256.15007
Reviewer: Witold Więsław (Wrocław)
Procrustes problems and associated approximation problems for matrices with \(k\)-involutory symmetries. (English) Zbl 1213.15014
Reviewer: Qing-Wen Wang (Shanghai)
The centro-invertible matrix: a new type of matrix arising in pseudo-random number generation. (English) Zbl 1201.15016
Linear Algebra Appl. 434, No. 1, 144-151 (2011); corrigendum ibid. 437, No. 6, 1428 (2012).
On involutory functions of matrices over a skew field. (Chinese. English summary) Zbl 1224.15012
Characterization of matrices with nonnegative group-projector. (English) Zbl 1185.15005
Bru, Rafael (ed.) et al., Positive systems. Proceedings of the third multidisciplinary international symposium on positive systems: theory and applications (POSTA 09), Valencia, Spain, September 2–4, 2009. Berlin: Springer (ISBN 978-3-642-02893-9/pbk; 978-3-642-02894-6/ebook). Lecture Notes in Control and Information Sciences 389, 315-320 (2009).
Strongly involutory functors. (English) Zbl 1226.18001
Strong involutory matrix and its nature. (Chinese. English summary) Zbl 1173.15016
MSC:
15B57
Subspaces, angles and pairs of orthogonal projections. (English) Zbl 1151.15005
Reviewer: A. Arvanitoyeorgos (Patras)
Neighborhood hypergraphs of bipartite graphs. (English) Zbl 1167.05041
Reviewer: Benjamin Doerr (Saarbrücken)
Involutions and generalized centrosymmetric and skew-centrosymmetric matrices. (English) Zbl 1151.15021
Reviewer: Alan L. Andrew (Bundoora)
Pseudo-centrosymmetric matrices, with applications to counting perfect matchings. (English) Zbl 1125.05061
Canonical forms for symmetric and skewsymmetric quaternionic matrix pencils. (English) Zbl 1122.15013
Alpay, Daniel (ed.) et al., System theory, the Schur algorithm and multidimensional analysis. Papers written on the occasion of the workshop on operator theory, system theory and scattering theory: multidimensional generalizations and related topics, Beer-Sheva, Israel, June 26–July 1, 2005. Basel: Birkhäuser (ISBN 978-3-7643-8136-3/hbk). Operator Theory: Advances and Applications 176, 199-254 (2007).
When is a linear combination of two idempotent matrices the group involutory matrix? (English) Zbl 1112.15009
Reviewer: Rodica Covaci (Cluj-Napoca)
A method for proving the similarity of involutory matrices and diagonal matrices. (Chinese. English summary) Zbl 1099.15009
Reviewer: Le Maohua (Zhanjiang)
Several equivalent representations for idempotent transformation and involutory transformation in linear space. (Chinese. English summary) Zbl 1097.15501
Oblique projectors and group involutory matrices. (English) Zbl 1030.15023
Reviewer: Václav Burjan (Praha)
Measure of the invertibility of matrix involution. (English) Zbl 1051.15006
Horová, Ivana (ed.), Summer school DATASTAT 01. Proceedings. Brno: Masaryk University (ISBN 80-210-3028-3/pbk). Folia Fac. Sci. Nat. Univ. Masaryk. Brun., Math. 11, 243-246 (2002).
MSC:
15A09
Linear maps preserving involutory matrices over principal ideal domains. (Chinese. English summary) Zbl 0994.15002
Rank equalities for idempotent and involutory matrices. (English) Zbl 0988.15002
Reviewer: G.E.Wall (Sydney)
How to establish universal block-matrix factorizations. (English) Zbl 0979.15012
Reviewer: Václav Burjan (Praha)
Group periodic matrices. (English) Zbl 1041.15020
Mastorakis, Nikos E. (ed.), Recent advances in applied and theoretical mathematics. Athens: World Scientific Engineering Society Press (ISBN 960-8052-21-1/hbk). Mathematics and Computers in Science and Engineering. A Series of Reference Books and Textbooks, 13-16 (2000).
On products of symmetric, skew-symmetric, Hermitian, and involutory matrices. (English. Russian original) Zbl 0963.15028
Mosc. Univ. Comput. Math. Cybern. 1998, No. 1, 10-15 (1998); translation from Vestn. Mosk. Univ., Ser. XV 1998, No. 1, 8-11 (1998).
Reviewer: Sergei Georgievich Zhuravlev (Moskva)
Group inverse and group involutory matrices. (English) Zbl 0949.15008
Reviewer: R.Covaci (Cluj-Napoca)
Products of involutory matrices with determinant 1 over rings. (English) Zbl 0929.15017
Reviewer: R.Covaci (Cluj-Napoca)
MSC:
15B33
Generalized reflexive matrices: Special properties and applications. (English) Zbl 0910.15005
Reviewer: E.Ellers (Toronto)
Products of symmetries in unitary groups. (English) Zbl 0878.20032
Reviewer: E.Ellers (Toronto)
Bireflectionality of the orthogonal group over a principal ideal domain. (English) Zbl 0859.20043
Reviewer: E.Ellers (Toronto)
Yangians and classical Lie algebras. (English. Russian original) Zbl 0876.17014
Russ. Math. Surv. 51, No. 2, 205-282 (1996); translation from Usp. Mat. Nauk 51, No. 2, 27-104 (1996).
Reviewer: Helmut Boseck (Greifswald)
Similarity of involutory matrices over a local ring of characteristic \(2^ k\). (English. Russian original) Zbl 0866.15002
Discrete Math. Appl. 5, No. 6, 587-601 (1995); translation from Diskretn. Mat. 7, No. 4, 145-156 (1995).
Reviewer: P.M.Gibson (Huntsville)
Reflectors on vector spaces. (English) Zbl 0772.15013
Reviewer: G.P.Barker (Kansas City)
Generalized inverses of matrices over a ring. (Chinese) Zbl 0669.15002
Reviewer: Chen Zhijie
Involutory functions and generalized inverses of matrices over an arbitrary skew field. (Chinese. English summary) Zbl 0669.15003
Reviewer: Chen Zhijie
Spectra of some graphs. (English) Zbl 0533.05042
Reviewer: A.Torgašev
MSC:
05C50
Extensions of the Levine-Nahikian method for constructing involutory matrices. (English) Zbl 0526.15001
Involutory *-antiautomorphisms in a direct limit of matrix algebras. (English) Zbl 0525.46028
MSC:
46K05
Involutory functions and Moore-Penrose inverses of matrices in an arbitrary field. (English) Zbl 0505.15003
Decomposition of matrices into involutory matrices and symmetric matrices. (Chinese) Zbl 0488.15008
MSC:
15A23
On the decomposition of matrices into symmetric matrices. (Chinese. English summary) Zbl 0566.15010
Involutory commutants with some applications to algebraic cryptography. II. (English) Zbl 0178.03401
Reviewer: John H. Hodges (Boulder)
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