Taboga, Marco (2021). "Determinant of a block matrix", Lectures on matrix algebra. https://www.statlect.com/matrix-algebra/determinant-of-block-matrix.
From Laplasses theorem can be seen on the determinant calculation, sometimes you can still put the determinant of block processing, and then put the block into the determinant of multiplication, it can solve the determinant value. This method is also called block method. This can also be ...
In this paper some results are reviewed concerning the characterization of inverses of symmetric tridiagonal and block tridiagonal matrices as well as resu... Gérard,Meurant - 《Siam Journal on Matrix Analysis & Applications》 被引量: 318发表: 1992年 The use of the factorization of five-diagonal...
The dspsv function performs the factorization A=UDU’, where U is a unitriangular matrix and D is a block diagonal matrix where the blocks are of dimension 1×1 or 2×2. In addition to the solution for x, the dspsv function also returns the matrices U and D. The matrix D may then...
We try to design two numerical algorithms by a certain type of matrix reordering in matrix partition and another algorithm by using the transformation of a block upper triangular transformation for the cyclic heptadiagonal Toeplitz matrices. The cost of these algorithms is about 11n+O(logn) for ...
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First, due to the existence of the SoV charge operator it is block-diagonal. Second, each block is a triangular matrix for a particular ordering of the states x| and |y . More precisely the left and right SoV states are in one-to-one correspondence as both are labelled by a set of ...
1) triangular determinant 三对角行列式1. We discuss the method for computing the triangular determinants. 给出了三对角行列式的几种算法,利用三对角行列式证明了两类Chebyshev多项式的几种显式。2) diagonally block tridiagonal determinant 块三对角行列式 1. Resolation of the bigdiagonally block tridiagonal...
2) triangular determinant 三对角行列式 1. We discuss the method for computing the triangular determinants. 给出了三对角行列式的几种算法,利用三对角行列式证明了两类Chebyshev多项式的几种显式。3) diagonally block tridiagonal determinant 块三对角行列式 1. Resolation of the bigdiagonally block ...
1. Resolation of the bigdiagonally block tridiagonal determinant; 大型块三对角行列式的分解2) triangular determinant 三对角行列式 1. We discuss the method for computing the triangular determinants. 给出了三对角行列式的几种算法,利用三对角行列式证明了两类Chebyshev多项式的几种显式。3) semi-diagonal...