Results 51 to 60 of about 2,333 (139)

Simple Polynomial Reissner–Mindlin Shell Model and Its Application in Efficient Analysis of Complex Underground Structures

Advances in Civil Engineering, Volume 2024, Issue 1, 2024.
The isogeometric (IG) Reissner–Mindlin (R–M) shell model solves the problem of shear and membrane locking that besets the finite element (FE) R–M shell model of nonthick underground structures, but still faces complicated modeling and computation, especially for the multijoint structures.
Jingxu Chen, Jihui Huang, Yifeng Peng, Nicola Buratti   +3 more
wiley   +1 more source

∗‐π‐Reversible ∗‐Semirings and Their Applications to Generalized Inverses

Journal of Mathematics, Volume 2024, Issue 1, 2024.
We introduce and study a new class of ∗‐semirings which is called ∗‐π‐reversible ∗‐semirings. A ∗‐semiring R is said to be ∗‐π‐reversible if for any a, b ∈ R, ab = 0 implies there exist two positive integers m and n such that bman∗=0. Some characterizations and examples of this class of semirings are given. As applications, generalized inverses related
Yuanfan Zhuo, Qinqin Gu, Huadong Su
wiley   +1 more source

Every simple compact semiring is finite

, 2015
A Hausdorff topological semiring is called simple if every non-zero continuous homomorphism into another Hausdorff topological semiring is injective. Classical work by Anzai and Kaplansky implies that any simple compact ring is finite. We generalize this
Schneider, Friedrich Martin, Zumbrägel, Jens   +1 more
core   +1 more source

Transitive Closure Preservers for Matrices over a Class of Semirings

Mathematics
We introduce the transitive closure operator Γ on the set of square matrices over a class of semirings, and then define the transitive closure of a matrix. We characterize the surjective linear transformations of matrices preserving (strongly preserving)
Weina Deng, Baomin Yu
doaj   +1 more source

Rational semimodules over the max-plus semiring and geometric approach of discrete event systems [PDF]

, 2002
We introduce rational semimodules over semirings whose addition is idempotent, like the max-plus semiring, in order to extend the geometric approach of linear control to discrete event systems.
Gaubert, Stephane, Katz, Ricardo
core   +4 more sources

Quadratic and Symmetric Bilinear Forms on Modules with Unique Base Over a Semiring [PDF]

, 2015
We study quadratic forms on free modules with unique base, the situation that arises in tropical algebra, and prove the analog of Witt's Cancellation Theorem.
Izhakian, Zur, Knebusch, Manfred, Rowen, Louis   +2 more
core   +1 more source

Bounds for the Completely Positive Rank of a Symmetric Matrix over a Tropical Semiring [PDF]

The Electronic Journal of Linear Algebra, 2018
In this paper, an upper bound for the CP-rank of a matrix over a tropical semiring is obtained, according to the vertex clique cover of the graph prescribed by the positions of zero entries in the matrix. The graphs that beget the matrices with the lowest possible CP-ranks are studied, and it is proved that any such graph must have its diameter equal ...
Dolžan, David, Oblak, Polona
openaire   +3 more sources

INVERTIBLE MATRICES IN CERTAIN COMMUTATIVE SUBSEMIRINGS OF FULL MATRIX SEMIRINGS [PDF]

International Journal of Pure and Apllied Mathematics, 2016
où Mn(S) est la matrice complète n×n semiring sur S. Alors Dn(S) est une sous-semiring commutative maximale du semiring Mn(S). Si S est un champ, on sait que A ∈ Dn(S) est inversible si et seulement si detA 6= 0. Dans cet article, des matrices inversibles dans Dn(S) où S est un demi-champ qui n'est pas un champ sont caractérisées.
Nissara Sirasuntorn, R.I. Sararnrakskul
openaire   +1 more source

Z-matrix equations in max-algebra, nonnegative linear algebra and other semirings [PDF]

Linear and Multilinear Algebra, 2012
We study the max-algebraic analogue of equations involving Z-matrices and M-matrices, with an outlook to a more general algebraic setting. We show that these equations can be solved using the Frobenius trace down method in a way similar to that in non-negative linear algebra, characterizing the solvability in terms of supports and access relations.
Butkovic, Peter, Schneider, Hans, Sergeev, Sergei   +2 more
openaire   +2 more sources

Interval Semirings

, 2011
This book has seven chapters. In chapter one we give the basics needed to make this book a self contained one. Chapter two introduces the notion of interval semigroups and interval semifields and are algebraically analysed.
Kandasamy, W. B. Vasantha, Smarandache, Florentin   +1 more
core