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Dekking, What is the long range order in the Kolakoski sequence?, The Mathe- matics of Long-Range Aperiodic Order , NATO Adv. Kolakoski, Problem 5304: Self Generating
In this paper, necessary and sufficient conditions are given for the existence of the group inverse of the block matrix A A..
In this paper, some necessary and sufficient con- ditions for the existence of the group inverse for square matrix over R are given, the conditions for the existence of the
purpose of this paper is to give some necessary and sufficient conditions for the existence and the representations of the group inverse of the block matrix A C..
Necessary and sufficient conditions for the equivalence and congruence of matrices under the action of standard parabolic subgroups are discussed..
Using Theorem 3.4, we have established a necessary and sufficient condition for the existence and the expression of the reflexive re-nonnegative definite solution to matrix
Therefore, using the criterion in Proposition 2.1, we induce the following necessary and sufficient conditions.... In this section we will first obtain a result on the CS property
Indeed, using estimates for the so-called tan points of the simple random walk, introduced in [1] and subse- quently used in [7, 8], it is possible to prove that, when d ≥ 2, the
