Fortran IV subroutines for the in-core solution of linear algebraic systems with a sparse, symmetrically skylined-stored nonsymmetric coefficient matrix are presented. Such systems arise in various computations, among which are the finite element discretization in conjunction with incremental continuum ...
Extreme ranks of (skew-)Hermitian solutions to a quaternion matrix equation 2010, Electronic Journal of Linear Algebra The reflexive re-nonnegative definite solution to a quaternion matrix equation 2008, Electronic Journal of Linear Algebra The Constrained Solutions of Two Matrix Equations 2002, Acta ...
A MPSMatrixBinaryKernel that solves a linear system of equations via a triangular coefficient matrix. C# 複製 [Foundation.Register("MPSMatrixSolveTriangular", true)] [ObjCRuntime.Introduced(ObjCRuntime.PlatformName.TvOS, 11, 0, ObjCRuntime.PlatformArchitecture.All, null)] [ObjCRunti...
The Matrix, $\mx{M}$: In Section 6.10, we will connect back to this introductory example. Now, let us start with a definition of the matrix, and then see how they can be used. 6.2 Definition As we saw in Chapter 5, a typical linear system of equations can look like \begin{equat...
system of homogeneous linear equations 齐次线性方程组 solution set 解集 singular 奇异 行列式等于0 nonsingular 非奇异 interchanging 交换 sign of the determinant 行列式的符号 strictly triangular form 严格三角形式 back substitution 回代 Cross Product 交叉乘积、向量积 ...
L-structured matrices and linear matrix equations Conditions for the existence of solutions, and the general solution of linear matrix equations are given, when it is known a priori that the solution matri... JR Magnus - 《Linear & Multilinear Algebra》 被引量: 105发表: 1983年 Large-scale ma...
Use an inverse matrix to solve each system of linear equations.(a) x_1+2x_2+x_3=-2x_1+2x_2-x_3=-4x_1-2x_2+x_3=2(x_1,x_2,x_3)= (▱)(b) x_1+2x_2+x_3=-1x_1+2x_2-x_3=-1x_1-2x_2+x_3=3(x_1,x_2,x_3)= (▱) ...
正Necessary and sufficient conditions are given for the existence of the general solution, the centrosymmetric solution, and the centroskewsymmetric soluti... QIN Jian-guo SONG,Guang-ai - 《数学季刊(英文版)》 被引量: 13发表: 2006年 THE NEAREST BISYMMETRIC SOLUTIONS OF LINEAR MATRIX EQUATIONS ...
系统标签: matrix equations iterative solution norm squares Iterativealgorithmsfortheminimum-normsolutionandtheleast-squaressolutionofthelinearmatrixequationsA1XB1þC1XTD1¼M1;A2XB2þC2XTD2¼M2qKaifuLiang,JianzhouLiu⇑SchoolofMathematicsandComputationalScience,XiangtanUniversity,Xiangtan,Hunan410005,Chinaar...
A common solution to a pair of linear matrix equations over a principle domain Linear Algebra Appl., 144 (1991), pp. 85-99 Google Scholar [7] A. Navarra, P.L. Odell, D.M. Young A representation of the general common solution to the matrix equations A1XB1=C1 and A2XB2=C2 with ap...