Zobrazeno 1 - 10
of 563
pro vyhledávání: '"Hadamard's maximal determinant problem"'
Autor:
Petr Lisoněk
Publikováno v:
Theoretical Computer Science. 800:142-145
We introduce a new class of complex Hadamard matrices which have not been studied previously. We use these matrices to construct a new infinite family of parity proofs of the Kochen-Specker theorem. We show that the recently discovered simple parity
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8faef976c0f1084ea16255c3262f8d9f
https://doi.org/10.1016/j.tcs.2019.10.021
https://doi.org/10.1016/j.tcs.2019.10.021
Publikováno v:
Journal of Symbolic Computation. 89:26-40
Hadamard ideals were introduced in 2006 as a set of nonlinear polynomial equations whose zeros are uniquely related to Hadamard matrices with one or two circulant cores of a given order. Based on this idea, the cocyclic Hadamard test enable us to des
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf942ba2f8cc6bf6cfc22c50503ccea2
https://doi.org/10.1016/j.jsc.2017.09.001
https://doi.org/10.1016/j.jsc.2017.09.001
Publikováno v:
Linear Algebra and its Applications. 532:500-511
In 1893 Jacques Hadamard introduced the famous inequality concerning the determinant of the Gram matrix. The generalizations of this inequality are the main subject of considerations presented in this paper. Calculations executed for the gramian of o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d3c40c31ebe46608cc288d46310678ea
https://doi.org/10.1016/j.laa.2017.07.003
https://doi.org/10.1016/j.laa.2017.07.003
Autor:
Howard Skogman, Nathan Reff
Publikováno v:
Linear Algebra and its Applications. 529:115-125
Matrices associated to oriented hypergraphs produce a connection between signed graphs and Hadamard matrices. The existence of a family of signed graphs that are switching equivalent to − K n and whose adjacency matrices sum to the zero matrix is s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5bc4ea9fb18da0a946e696c4ac892449
https://doi.org/10.1016/j.laa.2017.04.012
https://doi.org/10.1016/j.laa.2017.04.012
Publikováno v:
Linear and Multilinear Algebra. 66:1199-1214
Let and be two order m dimension n tensors. The Hadamard product is an order m dimension n tensor with entries . For nonnegative tensors and , we obtain some bounds on spectral radius of in terms o...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4da07f8b1dc03e9259927ae529ea3410
https://doi.org/10.1080/03081087.2017.1346060
https://doi.org/10.1080/03081087.2017.1346060
Autor:
He Jian-Feng
Publikováno v:
JP Journal of Algebra, Number Theory and Applications. 39:369-381
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::79cd7a65b92747d88870c5ff0e5a851d
https://doi.org/10.17654/nt039030369
https://doi.org/10.17654/nt039030369
Autor:
G. Sankara Raju Kosuru
Publikováno v:
The Journal of Analysis. 28:3-8
The Schur theorem provides the global bounds for spectrum of the Hadamard product of two positive semi-definite matrices. In this paper, we obtain lower and upper estimations for each eigenvalue of the Hadamard product of two Hermitian matrices.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::54c016527c7af0496c4b6bc356c604c7
https://doi.org/10.1007/s41478-017-0029-6
https://doi.org/10.1007/s41478-017-0029-6
Autor:
Joseph White, Remus Nicoara
Publikováno v:
Journal of Functional Analysis. 272:3486-3505
Let G be a finite group and denote by CG the commuting square associated to G. The defect of the group G, given by the formula d(G)=∑g∈G|G|order(g), was introduced in [9] as an upper bound for the number of linearly independent directions in whic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b9c702acbba271680eafb978371ccab3
https://doi.org/10.1016/j.jfa.2016.12.014
https://doi.org/10.1016/j.jfa.2016.12.014
Publikováno v:
Acta Mathematicae Applicatae Sinica, English Series. 33:505-514
For the Hadamard product of an M-matrix and its inverse, some new lower bounds on the minimum eigenvalue are given. These bounds can improve considerably some previous results.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b9643b09112b6ba9596652c5acf67ec
https://doi.org/10.1007/s10255-017-0678-x
https://doi.org/10.1007/s10255-017-0678-x
Autor:
Daeshik Choi
Publikováno v:
Linear and Multilinear Algebra. 66:280-284
In this paper, we present inequalities related to partial trace and block Hadamard product for positive semidefinite matrices. Some interesting results involving block matrices will be also derived.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9ff05fd2179c37574d5d978cdf43d4b4
https://doi.org/10.1080/03081087.2017.1295916
https://doi.org/10.1080/03081087.2017.1295916