Witryna称为斜Hermitian型Toeplitz矩阵,显然此矩阵可 表示为 A = a0I + As 。 1.2 Toeplitz矩阵的性质 (1) Toeplitz矩阵的线性组合仍然为Toeplitz矩阵 (2)若Toeplitz矩阵A的 … Witryna对于Hermitian Toeplitz矩阵,根据其具有的全对称结构,可通过酉相似变换,将该问题转化为含参数的实对称矩阵特征值反问题。 对于含参数的矩阵特征值反问题,用Cayley变换 …
Hermitian Toeplitz线性方程组的新预处理方法
Witryna1 什么是hermitian矩阵? 2 【题目】能够进行LDLT或者Cholesky分解的复数矩阵要满足什么条件?是不是只要这个复数矩阵对称 (A=A∼T) 就能进行LDLT或者Cholesky分解呢 … Witryna您当前正在查看的论文是: 论文编号:XW1001691 点此查看论文目录 论文题目:Hermitian Toeplitz矩阵向量积的计算 论文分类:数理科学和化学论文→计算数学论 … mark rober theme song on piano
Toeplitz矩阵_百度文库
Witryna15 lip 2024 · 7、Toeplitz矩阵. 他由两个向量定义,一个行向量和一个列向量。对称的Toeplitz矩阵由单一向量来定义。 toeplizt(k,r):用于生成非对称Toeplitz矩阵, … Witryna然后研究了利用酉变换把hermitian Toeplitz矩阵变换成Toeplitz+Hankel矩阵,再利用DFT把Toeplitz+Hankel矩阵变换成实对称Cauchy矩阵。 第四章给出了基于实对 … In linear algebra, a Toeplitz matrix or diagonal-constant matrix, named after Otto Toeplitz, is a matrix in which each descending diagonal from left to right is constant. For instance, the following matrix is a Toeplitz matrix: Zobacz więcej A matrix equation of the form $${\displaystyle Ax=b}$$ is called a Toeplitz system if A is a Toeplitz matrix. If A is an n × n Toeplitz matrix, then the system has only 2n − 1 unique values, … Zobacz więcej • Bareiss, E. H. (1969), "Numerical solution of linear equations with Toeplitz and vector Toeplitz matrices", Numerische Mathematik, 13 (5): 404–424, Zobacz więcej The convolution operation can be constructed as a matrix multiplication, where one of the inputs is converted into a Toeplitz matrix. For example, the convolution of Zobacz więcej • Circulant matrix, a square Toeplitz matrix with the additional property that $${\displaystyle a_{i}=a_{i+n}}$$ • Hankel matrix, an "upside down" (i.e., row-reversed) Toeplitz matrix • Szegő limit theorems Zobacz więcej navy hash marks years