Clustering on data matrix

Hi all,

I am developing an application, i need implement clustering technique inmy application i am having distance matrix like below

AME1 AME2 AME3 AMU1
AME1 0.00 1.19 1.48 1.82
AME2 1.19 0.00 0.86 2.13
AME3 1.48 0.86 0.00 2.12
AMU1 1.82 2.13 2.12 0.00


by using this i need to find the closest distance to new value, like below call xyz
AME1 AME2 AME3 AMU1 xyz
xyz 1.22 1.43 2. 00 1.24 0

i am presently having idea to this i.e

finding the minimum value (sinle linkage) in array xyz i.e 1.22(AME1) and its position 0 by using this value i am going find min value in AME1 ie 1.19 (AME2) position 1 and similarly min value in AME2 ie AME3 value .86 position 2 like this

is this is the write way of doing clustering or not . any one having exp in clustering technique please helpme

Thanks and Regards,
Jay