[试用] Copy to clipboard. BlockUpperTriangularMatrix[umat] 将块上三角矩阵umat表示为结构化数组. 更多信息和选项 范例 打开所有单元 基本范例(2) 构造块上三角矩阵: In[1]:= Out[1]= 显示元素: In[2]:= Normal可以将BlockUpperTriangularMatrix转换为其普通表示: ...
block triangular matrix 分块三角矩阵 triangular matrix 三角矩阵,三角形矩阵 almost triangular matrix 准三角形矩阵 strictly upper triangular matrix 严格上三角矩阵 strictly triangular matrix 严格三角矩阵 upper triangular matrix 上三角矩阵 lower triangular matrix 下三角形矩阵 almost triangular matrix ...
A necessary and sufficient condition is given for a block upper triangular matrix A to be the sum of block upper rectangular matrices satisfying certain rank constraints. The condition is formulated in terms of the ranks of certain submatrices of A. The proof goes by reduction to an integer ...
参见 DiagonalMatrix SparseArray BlockLowerTriangularMatrix BlockUpperTriangularMatrix PermutationMatrix相关指南结构化数组 历史 2022版本中引入 (13.1) | 2023版本中被更新 (13.3) 按以下格式引用: Wolfram Research (2022),BlockDiagonalMatrix,Wolfram 语言函数,https://reference.wolfram.com/language/ref/BlockDiagonal...
Block-tridiagonalmatrices：块三对角矩阵
Graded isomorphisms on upper block triangular matrix algebrasGraded isomorphisms on upper block triangular matrix algebrasMathematics - Rings and Algebras16W50We describe the graded isomorphisms of rings of endomorphisms of graded flags over graded division algebras. As a consequence we describe the isom...
matrix; the matrix is banded if off-diagonal blocks are upper or lower triangular. Such matrices are of great importance in numerical analysis and physics, and to obtain general properties is of great utility. The blocks of the inverse matrix of a block tridiagonal matrix can be factored in...
Based on an iterative method,we construct a block upper triangular preconditioner. The convergence of the presentedmethod is studied in details. Finally, some numerical experiments are given to demonstratethe superiority of the proposed preconditioner over some existing ones.Keywords: three-by-three ...
theconverseforthelasttwostatements,namely:ifmatricesEandFfrom(0.5)aresimilar,thenequation(0.1)hasasolution.Moreover,itwasprovedin[1]thattheequivalenceofmatricesEandFimpliesthesolvabilityof(0.2).TheseresultsimplythatifmatricesEandFfrom(0.5)aresimilarthenthesimilaritymatrixcanbechosentobeoftheupperblocktriangular...
D is a block diagonal matrix, A is a unit, or non-unit, upper or lower triangular matrix represented in variable block sparse row format and op( A ) is one of op( A ) = inv(A) or op( A ) = inv(A') or op( A ) =inv(conjg( A' )) ...