Maths Lecturer at Massey University. Working on high performance computing and modelling.

Professional Interests: numerical analysis, modelling, computer vision, mathematical biology

Submitted

fitellipse.m

Fit ellipses to 2D points using linear or nonlinear least squares

3 years ago | 42 downloads |

Submitted

nearestneighbour.m

Computes nearest neighbour(s) by Euclidean distance

3 years ago | 71 downloads |

Answered

How to create a sparse matrix with such specifications?

*edit* This version is wrong, but leaving so comment below makes sense density = 0.01; % For example m = 10000; n = 1000...

How to create a sparse matrix with such specifications?

*edit* This version is wrong, but leaving so comment below makes sense density = 0.01; % For example m = 10000; n = 1000...

6 years ago | 0

Answered

count groups of elements and distances between them

A = [6 6 6 4 4 4 4 4 6 5 5 7 7 7 8 9 8 7 0 0 0 0]; x = diff([find(diff([0 ismember(A, [0 6]) 0]))]); L = x(1:2:end); ...

count groups of elements and distances between them

A = [6 6 6 4 4 4 4 4 6 5 5 7 7 7 8 9 8 7 0 0 0 0]; x = diff([find(diff([0 ismember(A, [0 6]) 0]))]); L = x(1:2:end); ...

6 years ago | 2

Answered

Positive Semi-definite Matrix Problem

You're just going to have to live with it. Your matrix is PSD to double precision. If you look at the magnitude of the "zero" ei...

Positive Semi-definite Matrix Problem

You're just going to have to live with it. Your matrix is PSD to double precision. If you look at the magnitude of the "zero" ei...

6 years ago | 1

Answered

vectorizing calculation of eigen values of a large multi-dimensional array

You'll get a bit of a performance boost simply by looping over linear indices rather than nesting (this is more than twice as fa...

vectorizing calculation of eigen values of a large multi-dimensional array

You'll get a bit of a performance boost simply by looping over linear indices rather than nesting (this is more than twice as fa...

6 years ago | 0

Answered

Reduced row echelon form technique

It'll be a difference between yours and MATLAB's choice of tolerance. Your matrix should be rank 2, however I notice that MATLAB...

Reduced row echelon form technique

It'll be a difference between yours and MATLAB's choice of tolerance. Your matrix should be rank 2, however I notice that MATLAB...

6 years ago | 0

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Answered

Evaluation of matrix element of a linear differential matrix equation by constrained least square fitting

Assuming you have multiple |X| and |X'| vectors that you're trying to fit your matrix to, your problem can be posed as a constra...

Evaluation of matrix element of a linear differential matrix equation by constrained least square fitting

Assuming you have multiple |X| and |X'| vectors that you're trying to fit your matrix to, your problem can be posed as a constra...

6 years ago | 0

| accepted

Answered

displaying indexed values correctly

Similar to what you asked before, I think what you want is to find the |Vb| element that is closest to half of |Vb_ev|, and then...

displaying indexed values correctly

Similar to what you asked before, I think what you want is to find the |Vb| element that is closest to half of |Vb_ev|, and then...

6 years ago | 0

| accepted

Answered

finding closest values in array

If I understand correctly, you want to find the |pH| value in your array closest to 4.756, and pull this value out, together wit...

finding closest values in array

If I understand correctly, you want to find the |pH| value in your array closest to 4.756, and pull this value out, together wit...

6 years ago | 5

| accepted

Answered

How can I create sparse symmetric positive definite linear system?

|sprandsym| is what you want. m = 50; density = 2/m; % for example rc = 0.1; % Reciprocal condition number A = spr...

How can I create sparse symmetric positive definite linear system?

|sprandsym| is what you want. m = 50; density = 2/m; % for example rc = 0.1; % Reciprocal condition number A = spr...

6 years ago | 1

| accepted

Answered

Sign differences in QR decomposition

It's only unique up to the signs of the rows of |R|. If you want to enforce positive diagonals of |R|, and thereby get a unique ...

Sign differences in QR decomposition

It's only unique up to the signs of the rows of |R|. If you want to enforce positive diagonals of |R|, and thereby get a unique ...

6 years ago | 1

| accepted

Answered

Output argument "Clus_Area" (and maybe others) not assigned during call to

Check that the line if AR > 0 is doing what you intend. This will only evaluate if all entries of |AR| are positive. T...

Output argument "Clus_Area" (and maybe others) not assigned during call to

Check that the line if AR > 0 is doing what you intend. This will only evaluate if all entries of |AR| are positive. T...

6 years ago | 0

Answered

How to use variable value as an input to the function?

You can very probably get away with just passing |template1| and |template2| themselves (not trying to create references to them...

How to use variable value as an input to the function?

You can very probably get away with just passing |template1| and |template2| themselves (not trying to create references to them...

6 years ago | 0

Answered

Why I'm keep getting these errors? Please help!

The error message says it all. You're only computing one derivative in |my_function|. You need to define |ys(1)| and |ys(2)|...

Why I'm keep getting these errors? Please help!

The error message says it all. You're only computing one derivative in |my_function|. You need to define |ys(1)| and |ys(2)|...

6 years ago | 1

Answered

How do I efficiently calculate a scalar distance with 3d geometry?

You should use |hypot|. It also has better numerical stability. *edit* sorry, you're in 3D. That obviously won't work. You c...

How do I efficiently calculate a scalar distance with 3d geometry?

You should use |hypot|. It also has better numerical stability. *edit* sorry, you're in 3D. That obviously won't work. You c...

6 years ago | 0

Answered

Generating a particular sequnce of numbers

Also comparable, but not (quite) faster n = 1:(d*(d+1)/2); a = ceil(0.5*(-1 + sqrt(1 + 8*n))); out = a.*(a + 1)/2 - n...

Generating a particular sequnce of numbers

Also comparable, but not (quite) faster n = 1:(d*(d+1)/2); a = ceil(0.5*(-1 + sqrt(1 + 8*n))); out = a.*(a + 1)/2 - n...

6 years ago | 2

Answered

Generating a particular sequnce of numbers

Even faster: k = 1; n = d*(d+1)/2; out = zeros(n, 1); for i = 1:d for j = i:-1:1 out(k) = j;...

Generating a particular sequnce of numbers

Even faster: k = 1; n = d*(d+1)/2; out = zeros(n, 1); for i = 1:d for j = i:-1:1 out(k) = j;...

6 years ago | 2

Answered

please help with logical operators

replace all instances of |lenght| with |length|

please help with logical operators

replace all instances of |lenght| with |length|

6 years ago | 0

Answered

End of function slow - Matlab Profiler

Pretty sure you'll find it's the overhead for the function call

End of function slow - Matlab Profiler

Pretty sure you'll find it's the overhead for the function call

6 years ago | 0

| accepted

Answered

Fit and Plot Gaussian Function

Sure, rather than trying to fit a distribution (which is not what you want), just fit the Gaussian itself. Generate some nois...

Fit and Plot Gaussian Function

Sure, rather than trying to fit a distribution (which is not what you want), just fit the Gaussian itself. Generate some nois...

6 years ago | 0

Answered

Surface area from a z-matrix

OK, well how about splitting each quadrilateral into two triangles, and just summing up the areas? I'm sorry there's no way I ca...

Surface area from a z-matrix

OK, well how about splitting each quadrilateral into two triangles, and just summing up the areas? I'm sorry there's no way I ca...

6 years ago | 0

| accepted

Answered

Argmin with several minimums

It doesn't feel very satisfactory, but this will do the trick I = find(A == min(A))

Argmin with several minimums

It doesn't feel very satisfactory, but this will do the trick I = find(A == min(A))

6 years ago | 0

Answered

Projecting Points to a new Basis

I'm not sure what your question is asking because you're missing a symbol off your question. But I think you mean if n is not eq...

Projecting Points to a new Basis

I'm not sure what your question is asking because you're missing a symbol off your question. But I think you mean if n is not eq...

6 years ago | 0

Answered

How can I use "symbfact" to speed up several consecutive Cholesky factorizations?

You can't (unless something has changed recently). When I had to do this, I ended up working with the C code in CSparse directly...

How can I use "symbfact" to speed up several consecutive Cholesky factorizations?

You can't (unless something has changed recently). When I had to do this, I ended up working with the C code in CSparse directly...

6 years ago | 0

| accepted

Answered

Simple solution to a simple problem

Try 1./(1 + 9*x.^2) i.e. a '.' before the division

Simple solution to a simple problem

Try 1./(1 + 9*x.^2) i.e. a '.' before the division

6 years ago | 0

Answered

Piecewise Cubic Hermite Interpolating Polynomial (PCHIP)

It works perfectly x = [5.8808 6.5137 7.1828 7.8953]; y = [31.2472 33.9977 36.7661 39.3567]; pp = pchip(x...

Piecewise Cubic Hermite Interpolating Polynomial (PCHIP)

It works perfectly x = [5.8808 6.5137 7.1828 7.8953]; y = [31.2472 33.9977 36.7661 39.3567]; pp = pchip(x...

6 years ago | 0

| accepted

Answered

Sparse and nonspare QR

Sorry to take a while, busy week. Neither are wrong. You'll notice that the only difference in the outputs is that the sparse ve...

Sparse and nonspare QR

Sorry to take a while, busy week. Neither are wrong. You'll notice that the only difference in the outputs is that the sparse ve...

6 years ago | 0

| accepted

Answered

Sparse and nonspare QR

On my system they match (up to the signs of the rows, as you'd expect). m = 20; n = 10; X = sprand(m,n,0.3); Rs...

Sparse and nonspare QR

On my system they match (up to the signs of the rows, as you'd expect). m = 20; n = 10; X = sprand(m,n,0.3); Rs...

6 years ago | 0

Answered

How to calculate expm of a badly scaled matrix?

You might this Cleve's corner instructive <http://blogs.mathworks.com/cleve/2012/07/23/a-balancing-act-for-the-matrix-exponenti...

How to calculate expm of a badly scaled matrix?

You might this Cleve's corner instructive <http://blogs.mathworks.com/cleve/2012/07/23/a-balancing-act-for-the-matrix-exponenti...

6 years ago | 0

| accepted