# Tagged Questions

58 views

### Recurrence - using power series

Could you help me in solving this recursion( a closed form ) using power series $\mu(n)=\mu(n−1)k_0+(n−1)\mu(n−2) k_1 \tag 1$, where $k_0,k_1$ are constants $\mu(0)=3,\mu(1)=5$ HINT: We can think ...
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### Strassens Matrix Multiplication Algorithm to compute product of 2 4X4 Matrices

Im trying to learn starssens matrix multiplication Algorithm.So far i know that it uses 7 multiplications and replaces a multiplication by several additions and subtractions,to achieve better ...
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### The Matrix Inversion Lemma: the General Case

I find it is hard to understand the application senario of the Matrix Inversion Lemma in non-special cases. Suppose I already computed $A^{-1}$ and want to find $\left(A+UCV \right)^{-1}$. The Matrix ...
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### Why can I not generalize O(n^log5) for squaring matrice of size n

I have a question that is bugging me for around a 3 days, I first asked this question in stackoverflow but no one could answer it reasonably though they tried to help, so finally I found here as a ...
154 views

### Find all possible paths in a Matrix

I'm looking for algorithms to find all paths in a 4 x 4 matrix. The rules are as follows You can move in any direction (up, down, left, right, and diagonally) The next square in the path must be a ...
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### How to show this algorithm on positive semidefinite matrices converges to a global maximum determinant

I'm dealing with an algorithm which is supposed to converge to the maximum determinant of certain positive semidefinite matrices. The problem is that we have such a matrix, and we vary certain ...
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### Is there a method to calculate Mahalanobis distance incrementally?

By incrementally (or recursively) I mean to update the pool/group of values/vectors as soon as more vectors are available without having to recompute the entire covariance and inverse matrices. I ...
105 views

### Internet problem solving contest question

I am trying to solve a problem from the IPSC http://ipsc.ksp.sk/2001/real/problems/f.html It basically asks to compute the following recursion. ...
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### Strassen's Matrix Multiplication Example Problem

How to multiply two matrices using strassen's matrix multiplication.I have only learned the theory part but i cannot find any examples on the net. Could some one explain with two 2X2 Matrices.
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### Algorithm for reversion of power series?

Is this an algorithm for power series reversion? As input I give the alternating reciprocals of the factorial numbers: ...
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### How to compute this recursion in linear time?

Can the following iterative update on a $n$-element vector $\mathbf{x}_t$ be computed in $O(n)$ computations? \begin{align*} \mathbf{x}_{t+1} & = a_t\mathbf{y}_t + \mathbf{A}_t \mathbf{x}_t \,,\\ ...