当然这这个复杂度是按照矩阵乘法的定义来的,也即naive algorithm,实际计算中,可以用到某些更加高级的算法,比如“The Solvay Strassen Algorithm”,此法能将时间复杂度降低到 O(n2.8074) ,更多细节,可参考链接Matrix Multiplication Algorithm Time Complexity | Baeldung on Computer Science。根据wikipedia,目前已知的最...
Most computational problems for matrix semigroups and groups are inherently difficult to solve and even undecidable starting from dimension three. The questions about the decidability and complexity of problems for two-dimensional matrix semigroups remain open and are directly linked with other ...
computational complexity offers outstanding research at the junction of mathematics and theoretical computer science. Covers models of computation, ...
This paper deals with the computational complexity of the Schein rank of fuzzy matrices. At first, given a A-decomposable fuzzy relation R, the A-decomposable solution set of A and B with A A B = R is obtained. Then the relationship between the A-decomposition problem and the general ...
The applied techniques include modified advancing front management, and a localization device in the form of a regular grid (stored as a hypermatrix). The other subtask (access to mesh control function) could not be made of linear computational complexity for all modes of mesh control (ad hoc...
Three algorithms to compute covariance matrices: Comparison of their computational complexityThree algorithms to compute covariance matrices: Comparison of their computational complexityTheoretical or Mathematical/ computational complexitydifferential equationsmatrix algebra/ covariance matricescomputational...
While the use of the LMM improves the deconvolution accuracy, it introduces a much higher level of computational complexity than the models used in CPM and other cell-type deconvolution methods. We improved the computational efficiency of MeDuSA through coding the core algorithm with C++ and applying...
despite calculation complexity of MLMD is much higher than that of CMD. As schematically shown in Fig.4, the proposed NVNMD simultaneously achieves both the CMD-level high efficiency and the MLMD/AIMD-level high accuracy. It’s worth noting that the same high efficiency is kept, no matter ...
Geometry, Complexity, and Combinatorics of Permutation Polytopes computational complexitygeometrymatrix algebraoptimisation/ combinatoricspermutation polytopescomplexitypermutation matricesYoung polytopescombinatorial optimization... S Onn - 《Journal of Combinatorial Theory》 被引量: 84发表: 1993年 Network Quotients:...
BIG 4. Matching in Polynomial Time. (Edmonds 1965, Canadian Journal of Mathematics) Poly time seen as important. BIG. 5. Matrix Multiplication in O(n2.87) time (less than n3 !!) (Strassen 1969). 6. The Speed Up Theorem–There are decidable sets that cannot be assigned a complexity int...