An algorithm that allows solving the problem of non-commutativity in matrix multiplication has been utilized in this paper. The solutions to this problem are not direct, however, this work...
Define commutativity. commutativity synonyms, commutativity pronunciation, commutativity translation, English dictionary definition of commutativity. adj. 1. Relating to, involving, or characterized by substitution, interchange, or exchange. 2. Independe
The set Mn may be viewed as an algebra via the usual matrix multiplication. Occasionally, we will also view it as a Jordan algebra via the “multiplication” AB+BA. Observe that a linear subspace of Mn is its Jordan subalgebra if and only if it is closed under squares. Our main result...
Any computation of Boolean matrix product by an acyclic networkusing only the operations of binary conjunction and disjunctionrequires at least IJK conjunc... MS Paterson - 《Theoretical Computer Science》 被引量: 78发表: 1975年 On the Complexity of Reasoning in Kleene Algebra We study the comple...
http://tutorial.math.lamar.edu/Classes/LinAlg/PropsOfMatrixArith.aspx" 01234 12340 23401 34012 40123 Where the entry in the position i,j is i + j (mod 5). This table is symmetric about the main diagonal, which verifies that it is commutative. It is also associative, however there is...
matrix multiplicationpolynomial algorithmscomputing powerbilinear formsbilinear chainsnoncommutative ringscommutativity/ C4240 Programming and algorithm theoryOne of the major open questions in algorithm analysis is the computational complexity of matrix multiplication, i.e. the number of multiplication steps or ...
Define Noncommutativity. Noncommutativity synonyms, Noncommutativity pronunciation, Noncommutativity translation, English dictionary definition of Noncommutativity. adj. 1. Relating to, involving, or characterized by substitution, interchange, or exchang
Magniez and Nayak =-=[MN05]-=- used Szegedy’s result for quantize a classical Markov chain for testing the commutativity of a black box group. Buhrman and ˇ Spalek [BS06] constructed a quantum algorithms for matrix multiplication ...F. Magniez and A. Nayak. Quantum Complexity of ...
izing maps preserving zero Lie products was solved for many classes of rings =-=[4, 5, 8, 11, 14, 21]-=-, in particular prime rings [8, 11] and matrix rings over unital rings [4]. In case is the ordinary multiplication, a similar problem, namely that of describing maps preserving...