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 Sep 29 awarded Popular Question Jul 4 accepted Programming for matrix manipulation Apr 12 accepted Writing a circular matrix Apr 12 asked Writing a circular matrix Mar 19 comment Optimizing matrix inequalities over trace This is one test example. Let A={{1,I},{-I,2}}, B1 = {{1/2, 1/2 (I + Sqrt[3])}, {1/2 (-I + Sqrt[3]), -1}}and B2 = {{1, 1/2 (-I - Sqrt[3])}, {1/2 (I - Sqrt[3]), -1}}. We want to get a B with the required properties. ON course, this is a test case. In reality; the matrices will be of much larger dimensions (around 80). Mar 18 awarded Commentator Mar 18 comment Optimizing matrix inequalities over trace There is error. I guess it is due the following things. The matrix newB is not defined as Hermitian matrix. Hence, we are getting all types of complex numbers as outputs of minEig and Tr. Is it possible to restrict our search only on the Hermitian matrices? Mar 18 comment Optimizing matrix inequalities over trace Thank you for your help. I am trying to implement it with simple examples. I guess we can replace Real by Complex. Isn't it? My matrices are not real matrices, they are Hermitian. I am working on the program. I shall keep on informing you as it progresses. I am also concerned that FindMinimum may take a long time to run and give output. Mar 18 revised Optimizing matrix inequalities over trace edited tags; edited title Mar 18 awarded Citizen Patrol Mar 18 asked Optimizing matrix inequalities over trace Feb 4 asked Packages for Semidefinite programming Oct 24 revised Programming for matrix manipulation added 160 characters in body Oct 24 comment Programming for matrix manipulation I used this matrix for checking. X = Table[Subscript[x, i, j], {i, 64}, {j, 64}]; Big[X,m,p,q,r,s] This is because of the program which we have written earlier. This makes a 64 x 64 matrix, which can be seen as a 16 x 16 block matrix, where each block is a diagonal matrix. Of course, my actual program is to write a more complicated operation instead of the simple one. This is just a test cast Oct 24 asked Programming for matrix manipulation Sep 24 awarded Autobiographer Jul 21 awarded Popular Question Jul 2 awarded Curious Jul 1 awarded Yearling Mar 18 comment Manipulating sparse array elements Thanks a lot, especially for the second part. My arrays are very large. I only gave a small example for the question.