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- Boundary data smoothness (1)
- Contractions (1)
- Contractive matrices (1)
- Generalized inverses (1)
- Hua matrix (1)
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- Hua-Marcus inequalities (1)
- Hua’s determinantal inequality (1)
- Hua’s matrix equality (1)
- Hua’s matrix inequality (1)
- Inertia additivity (1)
- Matrix inequalities (1)
- Nonlinear boundary value problem (1)
- Nonlocal boundary condition (1)
- Ordinary differential equation (1)
- Rank additivity (1)
- Schur complement (1)
- Sylvester’s law of inertia (1)
Articles 1 - 3 of 3
Full-Text Articles in Physical Sciences and Mathematics
Boundary Data Smoothness For Solutions Of Nonlocal Boundary Value Problems For Nth Order Differential Equations, Johnny Henderson, Britney Hopkins, Eugenie Kim, Jeffrey W. Lyons
Boundary Data Smoothness For Solutions Of Nonlocal Boundary Value Problems For Nth Order Differential Equations, Johnny Henderson, Britney Hopkins, Eugenie Kim, Jeffrey W. Lyons
Mathematics Faculty Articles
Under certain conditions, solutions of the boundary value problem y(n)=f(x,y,y′,…,y(n−1)), y(n)=f(x,y,y′,…,y(n−1)), y(i−1)(x1)=yiy(i−1)(x1)=yi for 1≤i≤n−11≤i≤n−1, and y(x2)−∑mi=1riy(ηi)=yny(x2)−∑i=1mriy(ηi)=yn, are differentiated with respect to boundary conditions, where a
Hua's Matrix Equality And Schur Complements, Chris Paige, George P. H. Styan, Bo-Ying Wang, Fuzhen Zhang
Hua's Matrix Equality And Schur Complements, Chris Paige, George P. H. Styan, Bo-Ying Wang, Fuzhen Zhang
Mathematics Faculty Articles
The purpose of this paper is to revisit Hua's matrix equality (and inequality) through the Schur complement. We present Hua's original proof and two new proofs with some extensions of Hua's matrix equality and inequalities. The new proofs use a result concerning Shur complements and a generalization of Sylvester's law of inertia, each of which is useful in its own right.
Mirror Principle For Flag Manifolds, Vehbi Emrah Paksoy
Mirror Principle For Flag Manifolds, Vehbi Emrah Paksoy
Mathematics Faculty Articles
In this paper, using mirror principle developped by Lian, Liu and Yau [8, 9, 10, 11, 12, 13] we obtained the A and B series for the equivariant tangent bundles over homogenous spaces using Chern polynomial. This is necessary to obtain related cohomology valued series for given arbitrary vector bundle and multiplicative characteristic class. Moreover, this can be used as a valuable testing ground for the theories which associates quantum cohomologies and J functions of non-abelian quotient to abelian quotients via quantization