RSG
Reputation
255
Top tag
Next privilege 300 Rep.
Create tags
 Apr12 accepted Writing a circular matrix Apr12 asked Writing a circular matrix Mar19 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). Mar18 awarded Commentator Mar18 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? Mar18 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. Mar18 revised Optimizing matrix inequalities over trace edited tags; edited title Mar18 awarded Citizen Patrol Mar18 asked Optimizing matrix inequalities over trace Feb4 asked Packages for Semidefinite programming Oct24 revised Programming for matrix manipulation added 160 characters in body Oct24 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 Oct24 asked Programming for matrix manipulation Sep24 awarded Autobiographer Jul21 awarded Popular Question Jul2 awarded Curious Jul1 awarded Yearling Mar18 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. Mar18 accepted Manipulating sparse array elements Mar17 asked Manipulating sparse array elements