How to convert row-major linear indices to column-major indices?

I have a row-major linear indices [1,8, 14, 9, 4, 11, 18] from a matrix 3 x 6 (row x column). How to convert this to column-major linear indices [1, 5, 6, 8, 10, 14, 18] without for-loops? I want to generalize for any rectangular or square matrices.

Answer 1

[Stephen23]

S = [3,6]; % matrix size
X = [1,8,14,9,4,11,18]; % row-major linear indices
[Y,Z] = ind2sub(flip(S),X);
V = sub2ind(S,Z,Y) % column-major linear indices

V = 1×7

1 5 6 8 10 14 18

[Preetham Manjunatha]

Thanks! Works perfectly.

[Preetham Manjunatha]

Stephen, if column-major linear indices are given, how can I convert to the row-major linear indices?

[Stephen23]

S = [3,6]; % matrix size
X = [1,5,6,8,10,14,18]; % column-major linear indices
[Y,Z] = ind2sub(S,X);
V = sub2ind(flip(S),Z,Y) % row-major linear indices

V = 1×7

1 8 14 9 4 11 18

[Preetham Manjunatha]

Thanks!

Answer 2

[Arif Hoq]

try reshape function:

A=[1 2 3 4 5 6; 7 8 9 10 11 12;13 14 15 16 17 18]  % any matrix

A = 3×6

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

D=reshape(A,[],3)

D = 6×3

1 3 5 7 9 11 13 15 17 2 4 6 8 10 12 14 16 18