I know that I can upper bound the term $E^TF+F^TE \preceq \alpha^2E^TE+\alpha^{-2} F^TF$ where $\alpha\neq 0$. I want to find a tighter bound but again with some positive semidefinite terms! thanks!
2026-03-31 11:51:42.1774957902
Tight bounds on $E^TF+F^TE$
34 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in INEQUALITY
- Confirmation of Proof: $\forall n \in \mathbb{N}, \ \pi (n) \geqslant \frac{\log n}{2\log 2}$
- Prove or disprove the following inequality
- Proving that: $||x|^{s/2}-|y|^{s/2}|\le 2|x-y|^{s/2}$
- Show that $x\longmapsto \int_{\mathbb R^n}\frac{f(y)}{|x-y|^{n-\alpha }}dy$ is integrable.
- Solution to a hard inequality
- Is every finite descending sequence in [0,1] in convex hull of certain points?
- Bound for difference between arithmetic and geometric mean
- multiplying the integrands in an inequality of integrals with same limits
- How to prove that $\pi^{e^{\pi^e}}<e^{\pi^{e^{\pi}}}$
- Proving a small inequality
Related Questions in POSITIVE-DEFINITE
- Show that this matrix is positive definite
- A minimal eigenvalue inequality for Positive Definite Matrix
- Show that this function is concave?
- $A^2$ is a positive definite matrix.
- Condition for symmetric part of $A$ for $\|x(t)\|$ monotonically decreasing ($\dot{x} = Ax(t)$)
- The determinant of the sum of a positive definite matrix with a symmetric singular matrix
- Using complete the square to determine positive definite matrices
- How the principal submatrix of a PSD matrix could be positive definite?
- Aribtrary large ratio for eigenvalues of positive definite matrices
- Positive-definiteness of the Schur Complement
Related Questions in POSITIVE-SEMIDEFINITE
- Minimization of a convex quadratic form
- set of positive definite matrices are the interior of set of positive semidefinite matrices
- How to solve for $L$ in $X = LL^T$?
- How the principal submatrix of a PSD matrix could be positive definite?
- Hadamard product of a positive semidefinite matrix with a negative definite matrix
- The square root of a positive semidefinite matrix
- Optimization of the sum of a convex and a non-convex function?
- Proving that a particular set is full dimensional.
- Finding bounds for a subset of the positive semidefinite cone
- Showing a matrix is positive (semi) definite
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?