I have the following problem. A is a sum of independent random matrices and B is some fixed positive (semi-)definite matrix. I'm interested in a bound on the expectation of the operator norm $\lVert BA(I+BA)^{-1}\rVert$. Is there anything easy to say about this ? Alternatively $\lVert (I+BA)^{-1}\rVert$ should do it as well.
2026-03-27 23:14:24.1774653264
on the spectral norm of the inverse of a random matrix
191 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in RANDOM-MATRICES
- Distribution of min/max row sum of matrix with i.i.d. uniform random variables
- The Cauchy transform of Marchenko-Pastur law
- Is scaling (related to matrix size $n$) and eigenvalue calculation exchangeable when discussing eigenvalue distribution of random matrix
- What is an Operator Matrix for the operation which happens in the reverse direction?
- Variance of $\mathrm{Proj}_{\mathcal{R}(A^T)}(z)$ for $z \sim \mathcal{N}(0, I_m)$.
- How to simulate a random unitary matrix with the condition that each entry is a complex number with the absolute value 1 in matlab
- Explaining a model that obtain matrice A and B from M by solving optimization problem
- How to bound the L-2 norm of the product of two non-square matrices
- Expected number of operations until matrix contains no zeros.
- How should I proceed to solve the below mentioned non-convex optimisation problem?
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?