Given a symmetric Toeplitz matrix $Q$ of size $m$, what is the time complexity of the Kronecker product $I_n \otimes Q$, where $I_n$ is identity matrix of size $n$? Is is $\mathcal{O}(m)$?
2026-03-25 18:14:32.1774462472
Time complexity of Kronecker product $I_n \otimes Q$ where $Q$ is Toeplitz
53 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in MATRICES
- How to prove the following equality with matrix norm?
- I don't understand this $\left(\left[T\right]^B_C\right)^{-1}=\left[T^{-1}\right]^C_B$
- Powers of a simple matrix and Catalan numbers
- Gradient of Cost Function To Find Matrix Factorization
- Particular commutator matrix is strictly lower triangular, or at least annihilates last base vector
- Inverse of a triangular-by-block $3 \times 3$ matrix
- Form square matrix out of a non square matrix to calculate determinant
- Extending a linear action to monomials of higher degree
- Eiegenspectrum on subtracting a diagonal matrix
- For a $G$ a finite subgroup of $\mathbb{GL}_2(\mathbb{R})$ of rank $3$, show that $f^2 = \textrm{Id}$ for all $f \in G$
Related Questions in ASYMPTOTICS
- Justify an approximation of $\sum_{n=1}^\infty G_n/\binom{\frac{n}{2}+\frac{1}{2}}{\frac{n}{2}}$, where $G_n$ denotes the Gregory coefficients
- How to find the asymptotic behaviour of $(y'')^2=y'+y$ as $x$ tends to $\infty$?
- Correct way to prove Big O statement
- Proving big theta notation?
- Asymptotics for partial sum of product of binomial coefficients
- Little oh notation
- Recurrence Relation for Towers of Hanoi
- proving sigma = BigTheta (BigΘ)
- What's wrong with the boundary condition of this $1$st order ODE?
- Every linearly-ordered real-parametrized family of asymptotic classes is nowhere dense?
Related Questions in COMPUTATIONAL-COMPLEXITY
- Product of sums of all subsets mod $k$?
- Proving big theta notation?
- Little oh notation
- proving sigma = BigTheta (BigΘ)
- sources about SVD complexity
- Is all Linear Programming (LP) problems solvable in Polynomial time?
- growth rate of $f(x)= x^{1/7}$
- Unclear Passage in Cook's Proof of SAT NP-Completeness: Why The Machine M Should Be Modified?
- Minimum Matching on the Minimum Triangulation
- How to find the average case complexity of Stable marriage problem(Gale Shapley)?
Related Questions in KRONECKER-PRODUCT
- Kronecker Product of Vectors with "all-ones" Vector
- Simplification for Kronecker product between block matrix and identity matrix (Khatri-Rao product)
- Bounding the determinant of principal sub-matrices of the Kroneker product
- Derivative of the trace of a Kronecker product
- Derivative involving trace and Kronecker product
- central self-products of quaternion and (8)-dihedral groups $\mathbb{Q_8} \otimes \mathbb{Q_8}^{\text{op}} \cong D_8 \otimes D_8$?
- Writing this matrix expression in terms of vec operator
- Derivative of $(Ax) \otimes y$ with respect to $x$
- Computing the Symmetric Kronecker Product
- Computing the derivative of $Axx^TB^T$ with respect to $x$
Related Questions in TOEPLITZ-MATRICES
- The eigenvector of toeplitz matrix
- Unitary transformation to a Toeplitz matrix
- Efficiently computing symmetric Toeplitz matrix such that $Tx=y$
- The largest eigenvalue of AR(1) matrix
- Factorization of a Toeplitz-block Toeplitz matrix $A$ (Toeplitz Matrix with Toeplitz Blocks) as a product $A = Q^H D \, Q$ using a diagonal matrix $D$
- How to build invertible Toeplitz matrices?
- What are practical examples of Toeplitz matrices?
- Inverse of tridiagonal Toeplitz matrix
- Powers of bidiagonal Toeplitz matrix
- Inverse of symmetric tridiagonal block Toeplitz matrix
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?