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Displaying 41 – 60 of 140

Clean matrices over commutative rings

Huanyin Chen (2009)

Czechoslovak Mathematical Journal

A matrix $A \in M_{n} (R)$ is $e$ -clean provided there exists an idempotent $E \in M_{n} (R)$ such that $A - E \in {GL}_{n} (R)$ and $det E = e$ . We get a general criterion of $e$ -cleanness for the matrix $[[a_{1}, a_{2}, \dots, a_{n + 1}]]$ . Under the $n$ -stable range condition, it is shown that $[[a_{1}, a_{2}, \dots, a_{n + 1}]]$ is $0$ -clean iff $(a_{1}, a_{2}, \dots, a_{n + 1}) = 1$ . As an application, we prove that the $0$ -cleanness and unit-regularity for such $n \times n$ matrix over a Dedekind domain coincide for all $n \geq 3$ . The analogous for $(s, 2)$ property is also obtained.

Clifford algebras and possible kinematics.

McRae, Alan S. (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Clifford algebras, Fourier transforms and singular convolution operators on Lipschitz surfaces.

Chun Li, Alan McIntosh, Tao Qian (1994)

Revista Matemática Iberoamericana

In the Fourier theory of functions of one variable, it is common to extend a function and its Fourier transform holomorphically to domains in the complex plane C, and to use the power of complex function theory. This depends on first extending the exponential function eixξ of the real variables x and ξ to a function eizζ which depends holomorphically on both the complex variables z and ζ .Our thesis is this. The natural analog in higher dimensions is to extend a function of m real variables monogenically...

Clifford algebras, matrix algebras and classical groups

Wene, G. P. (1985)

Proceedings of the Winter School "Geometry and Physics"

Clifford algebras, Möbius transformations, Vahlen matrices, and $B$ -loops

Jimmie Lawson (2010)

Commentationes Mathematicae Universitatis Carolinae

In this paper we show that well-known relationships connecting the Clifford algebra on negative euclidean space, Vahlen matrices, and Möbius transformations extend to connections with the Möbius loop or gyrogroup on the open unit ball $B$ in $n$ -dimensional euclidean space $ℝ^{n}$ . One notable achievement is a compact, convenient formula for the Möbius loop operation $a * b = (a + b) {(1 - a b)}^{- 1}$ , where the operations on the right are those arising from the Clifford algebra (a formula comparable to $(w + z) {(1 + \bar{w} z)}^{- 1}$ for the Möbius loop multiplication...

Clifford and Grassmann like algebra

Kwaśniewski, A. K. (1985)

Proceedings of the Winter School "Geometry and Physics"

Clifford fibrations and possible kinematics.

McRae, Alan S. (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Clifford k-algebras and k*-groups.

Luzius Grunenfelder (1984)

Mathematische Zeitschrift

Cliffordalgebren und neue isoparametrische Hyperflächen.

H. Karcher, D. Ferus, H.-F. Münzner (1981)

Mathematische Zeitschrift

Closed form solutions of coupled algebraic and differential matrix equations

Jódar, Lucas (1990)

Portugaliae mathematica

Closures of Conjugacy Classes of Matrices are Normal.

Hanspeter Kraft, Claudio Procesi (1979)

Inventiones mathematicae

Coalescing Fiedler and core vertices

Didar A. Ali, John Baptist Gauci, Irene Sciriha, Khidir R. Sharaf (2016)

Czechoslovak Mathematical Journal

The nullity of a graph $G$ is the multiplicity of zero as an eigenvalue in the spectrum of its adjacency matrix. From the interlacing theorem, derived from Cauchy’s inequalities for matrices, a vertex of a graph can be a core vertex if, on deleting the vertex, the nullity decreases, or a Fiedler vertex, otherwise. We adopt a graph theoretical approach to determine conditions required for the identification of a pair of prescribed types of root vertices of two graphs to form a cut-vertex of unique...

Coefficients of ergodicity generated by non-symmetrical vector norms

Antonín Lešanovský (1990)

Czechoslovak Mathematical Journal

Cohomologie de la grassmannienne à valeurs dans les puissances extérieures et symétriques du fibré universel.

J. le Potier (1977)

Mathematische Annalen

Collars in PSL $(2, 𝐇)$ .

Kellerhals, Ruth (2001)

Annales Academiae Scientiarum Fennicae. Mathematica

Colorings and orientations of matrices and graphs.

Schauz, Uwe (2006)

The Electronic Journal of Combinatorics [electronic only]

Combinatorial aspects of generalized complementary basic matrices

Miroslav Fiedler, Frank Hall (2013)

Open Mathematics

This paper extends some properties of the generalized complementary basic matrices, in particular, in a combinatorial direction. These include inheritance (such as for Alternating Sign Matrices), spectral, and sign pattern matrix (including sign nonsingularity) properties.

Currently displaying 41 – 60 of 140

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Displaying 41 – 60 of 140

Clean matrices over commutative rings

Clifford algebras and possible kinematics.

Clifford algebras, Fourier transforms and singular convolution operators on Lipschitz surfaces.

Clifford algebras, matrix algebras and classical groups

Clifford algebras, Möbius transformations, Vahlen matrices, and $B$ -loops

Clifford and Grassmann like algebra

Clifford fibrations and possible kinematics.

Clifford k-algebras and k*-groups.

Cliffordalgebren und neue isoparametrische Hyperflächen.

Closed form solutions of coupled algebraic and differential matrix equations

Closures of Conjugacy Classes of Matrices are Normal.

Coalescing Fiedler and core vertices

Coefficients of ergodicity generated by non-symmetrical vector norms

Cohomologie de la grassmannienne à valeurs dans les puissances extérieures et symétriques du fibré universel.

Collars in PSL $(2, 𝐇)$ .

Colorings and orientations of matrices and graphs.

Combinatorial aspects of generalized complementary basic matrices

Combinatorial identities deriving from the $n$ th power of a $2 \times 2$ matrix.

Combinatorial properties of Fourier-Motzkin elimination.

Combined preorder and postorder traversal algorithm for the analysis of singular systems by Haar wavelets.

Currently displaying 41 – 60 of 140