最短路径dijkstra算法代码完整代码

根据提供的引用内容，可以看出dijkstra算法是一种求解最短路径的算法。下面是一个完整的dijkstra算法的matlab代码实现：

<<function [dist,path] = dijkstra_algorithm(A,start,dest)
% A为邻接矩阵，start为起点，dest为终点
n = size(A,1);
dist = inf(1,n);
path = zeros(1,n);
visited = zeros(1,n);
dist(start) = 0;
for i = 1:n
min_dist = inf;
for j = 1:n
if ~visited(j) && dist(j) < min_dist
min_dist = dist(j);
u = j;
end
end
visited(u) = 1;
for v = 1:n
if ~visited(v) && A(u,v) ~= inf
if dist(u) + A(u,v) < dist(v)
dist(v) = dist(u) + A(u,v);
path(v) = u;
end
end
end
end
if dist(dest) == inf
path = [];
else
p = dest;
while p ~= start
path = [p path];
p = path(p);
end
path = [start path];
end
end>>

其中，A为邻接矩阵，start为起点，dest为终点。函数返回值为dist和path，分别表示起点到各个节点的最短距离和最短路径。