The geometric mean of two positive definite matrices A and B is defined as $$A\#B={A}^{1/2}{({A}^{-1/2}B{A}^{-1/2})}^{1/2}{A}^{1/2}.$$ This definition can be extended to positive-semidefinite matrices A, B as \({\mathrm{lim}\,}_{\epsilon \to 0}{A}_{\epsil...
An algorithm for multiplying two square 3×3 matrices with commutative variables is given, requiring 22 multiplications.doi:10.1016/0041-5553(86)90203-XO.M. MakarovElsevier B.V.Ussr Computational Mathematics & Mathematical PhysicsAn algorithm for multiplying 3 × 3 matrices - Makarov - 1987 () ...
Two fuzz matrices B and A, of which A is a constant fuzzy matrix,has been considered.The author has established sufficient condition for B A to be constant in previous paper.The results is improved,and the necessary and sufficient conditions are given for B A to be constant in this paper...
t. Below we will give an algorithm which computes the coefficients of the product of two square matrices A and B of order n from the coefficients of A and ... V Strassen - 《Numerische Mathematik》 被引量: 3187发表: 1969年 Rank and optimal computation of generic tensors The typical rank...
The AFS analysis is a powerful methodology for the exploration of the rotational ambiguity inherent to the multivariate curve resolution problem. Up to now the AFS has been studied for two-, three-, and four-component systems: In this chapter we explain the underlying concepts of the AFS ...
The aim of the matrixMultiplier function is to multiply A * B, and then show the resulting matrix C, for any two square matrices A and B. A and B sizes are limited by 10*10. When the user is asked the size of the matrix they wish to introduce, although A and B are 10*...
Suppose A is a 3 x 3 matrix for which det A = -9. What is the value of det(2A)? Determinant In linear algebra, the determinant is a scalar that is assigned to a square matrix and can be computed from its elements. This number is useful for the solution of ...
百度试题 结果1 题目For the matricesA=(2-3&b=(7-3)c=(3&5-9)&2-1=4b=(_2-1/4) 235)-(90-452142188E=(-(-3-5)/(-2))^2 v=(1/3)find, where possibleC+D 相关知识点: 试题来源: 解析 (3/4-1)1/(12)212
百度试题 结果1 题目For ordinary arithmetic 2 × 3= 3× 2 and in algebra ab= ba.For matrices, is AB = BA always?m-[][say 相关知识点: 试题来源: 解析 AB=|-1;1/7||;-1;7;7|=0;2;3;6. ABBA
objects in the trivial region definitively do not belong to the cluster, and objects in the fringe region maybe or may not belong to the cluster. Obviously, the two-way representation with a single set is a special case of three-way representation with two sets when fringe regions are empty...