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[PDF] Top 20 Schur Complement of con s k EP Matrices

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Schur Complement of con s k EP Matrices

Schur Complement of con s k EP Matrices

... square matrices. If a parti- tioned matrix M of the form 2.1 is con-s-k-EP, then in general, the schur complement of C in M, that is (M/C) is not ...be ... See full document

11

Schur complements pivotal transformation on con s k ep matrices

Schur complements pivotal transformation on con s k ep matrices

... is con-s-k-EP. Moreover A is said to be con A is con-s-k-EP and of rank ...of con k-EP matrices one may refer ...a schur ... See full document

5

Africans, Cherokees, and the ABCFM Missionaries in the Nineteenth Century: An Unusual Story of Redemption

Africans, Cherokees, and the ABCFM Missionaries in the Nineteenth Century: An Unusual Story of Redemption

... of matrices occurred in Lagrange’s work on bilinear forms in the late 1700’s in his method now known as Lagrange’s ...Issai Schur in ...the Schur decomposition, which is presented later in ... See full document

49

On block diagonal Schur complements of the block strictly doubly diagonally dominant matrices

On block diagonal Schur complements of the block strictly doubly diagonally dominant matrices

... the Schur complement of I-(generalized) block diagonally dominant matrix is I-(generalized) block diagonally dominant, the same is true for II-(generalized) block diagonally dominant ... See full document

18

Dynamic Effective Resistances and Approximate Schur Complement on Separable Graphs

Dynamic Effective Resistances and Approximate Schur Complement on Separable Graphs

... approximate Schur complement of a separable graphs by maintaining a separator tree of such graphs, rather than their r-divisions as used in ...maintaining s − t max-flow in planar graphs by Italiano ... See full document

16

An Efficient Algorithm for Power Load Flow Solutions by Schur Complement and Threshold Technique

An Efficient Algorithm for Power Load Flow Solutions by Schur Complement and Threshold Technique

... calculations. Schur complement method can be reduce memory required by divided Jacobian matrix into two separated matrices with reasonable computation ... See full document

8

Product of k-EP Block Matrices in Minkowski Space

Product of k-EP Block Matrices in Minkowski Space

... of k-EP matrices in Minkowski space as an extension of EP matrix in m ...two k-EP matrices in m of rank r to be k-EP in m and k-EP block ... See full document

10

The estimates of diagonally dominant degree and eigenvalues distributions for the Schur complements of matrices

The estimates of diagonally dominant degree and eigenvalues distributions for the Schur complements of matrices

... The paper is organized as follows. In Section , we give several new estimates of the diagonally dominant degree, the α-diagonally dominant degree and product α-diagonally dominant degree on the Schur ... See full document

10

The improved disc theorems for the Schur complements of diagonally dominant matrices

The improved disc theorems for the Schur complements of diagonally dominant matrices

... numerical analysis and for deriving matrix inequalities in matrix analysis (see [, , ]). More importantly, the distribution for the eigenvalues of the Schur complement is of great significance, as shown ... See full document

16

k Kernel Symmetric Matrices

k Kernel Symmetric Matrices

... on k-hermitian and EP matrices are obtained for the k- EP ...of k-Kernel symmetric matrices for fuzzy matrices and characterizations of a k-Kernel symmetric ... See full document

8

Binary phase elements: optical and statistical properties 

Binary phase elements: optical and statistical properties 

... collinear matrices (region IV) may be considered as the result of Hadamard- Schur multiplication (69),(70) of the quasi- orthogonal matrices (region IV) produced from the canonical Hadamard ...( ... See full document

20

Properties for the Perron complement of three known subclasses of H matrices

Properties for the Perron complement of three known subclasses of H matrices

... Perron complement upon several diagonally dominant cases by using the entries and spectral radius of the original ...Perron complement of several diagonally dominant ... See full document

10

An efficient iterative scheme for the highly constrained augmented Stokes problem for the numerical simulation of flows in porous media

An efficient iterative scheme for the highly constrained augmented Stokes problem for the numerical simulation of flows in porous media

... exact Schur complement method with the fundamental ...exact Schur complement can be justified by the fact that the Lagrangian multipliers are defined in the space one order lower than those of ... See full document

30

The maximal and minimal ranks of matrix expression with applications

The maximal and minimal ranks of matrix expression with applications

... generalized Schur complement and partial matrix As direct applications of the results in Section 2, we determine in this section the max- imal and minimal ranks of the generalized Schur ... See full document

15

Power System Dynamic Simulations Using a Parallel Two-Level Schur-Complement Decomposition

Power System Dynamic Simulations Using a Parallel Two-Level Schur-Complement Decomposition

... Both the proposed and the benchmark algorithms were implemented in the academic simulation software RAMSES, developed at the University of Liège. This software is currently being integrated into the operation planning ... See full document

13

Dynamic simulation of large-scale power systems using a parallel schur-complement-based decomposition method

Dynamic simulation of large-scale power systems using a parallel schur-complement-based decomposition method

... Each sub-domain problem is then solved exactly or approximately before exchanging information with other sub-domains. The frequency at which information is ex- changed with other sub-domains leads to a compromise between ... See full document

8

The Estimates of Diagonally Dominant Degree and Eigenvalue Inclusion Regions for the Schur Complement of Matrices

The Estimates of Diagonally Dominant Degree and Eigenvalue Inclusion Regions for the Schur Complement of Matrices

... The Schur complement of matrix is an important part of matrix theory, which has been proved to be useful tools in many fields such as control theory, statistics and computational ...the Schur ... See full document

10

The disc separation and the eigenvalue distribution of the Schur complement of nonstrictly diagonally dominant matrices

The disc separation and the eigenvalue distribution of the Schur complement of nonstrictly diagonally dominant matrices

... dominant matrices are given in Section ...dominant matrices and their Schur ...the Schur complements is discussed in Section  for nonstrictly diagonally dominant matrices to derive ... See full document

12

The New Estimations of Diagonally Dominant Degree and Eigenvalues Distributions for the Schur Complements of Block Diagonally Dominant Matrices and Determinantal Bounds

The New Estimations of Diagonally Dominant Degree and Eigenvalues Distributions for the Schur Complements of Block Diagonally Dominant Matrices and Determinantal Bounds

... the Schur complement of matrices are established in Section ...the Schur complement and the new bounds for the determinant of I(II)-block diagonally dominant matrices are ... See full document

12

Schur-Complement in Block Matrices Over an Incline

Schur-Complement in Block Matrices Over an Incline

... Abstract. Inclines are additively idempotent semirings in which product is always less than or equal to each factor. For a pair of regular elements in an incline, we have constructed a regular 2×2 order matrix over that ... See full document

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