prod_inv(x) \(\prod_i x_i^{-1}\)when\(x\)is positive;\(+\infty\)otherwise. Convex and nonincreasing. quad_form(x,P) \(x^TPx\)for real\(x\)and symmetric\(P\), and\(x^HPx\)for complex\(x\)and Hermitian\(P\). Convex in\(x\)for\(P\)constant and positive semidefinite...
R_itera=B*log2(1+gama); cvx_begin variable P(2,M) expression S for i=1:1:M gama_inv1(i)=P(1,i).*h_au(i)*N2+P(2,i).*h_ub(i)*N1+N1*N2 .*(prod_inv([P(1,i) P(2,i)]).*h_ub(i).*h_au(i)); end S=(gama.^2 *log2(exp(1)) ./ (2*(gama+1))) .*...
prod_inv(x) \prod_i x_i^{-1}whenxis positive;+\inftyotherwise. Convex and nonincreasing. quad_form(x,P) x^TPxfor realxand symmetricP, andx^HPxfor complexxand HermitianP. Convex inxforPconstant and positive semidefinite; concave inxforPconstant and negative semidefinite. ...
Can’t I just tell CVX somehow that my model is convex? No, you can’t. To understand why, you must understand that theDCP rulesetis not for your benefit. Yes, we want you to be able to prove that your model is convex, and the rules can certainly help. But in fact, the rulesar...
prod_inv(x) 当x为正数时, ;否则 +∞. 凸和非递增. quad_form(x,P) 对于实x和对称P, 对于复x和埃尔米特P, .当P固定和正半定,凸;当P固定和负半定,凹; 注意:二次函数(如quad_form,sum_square通常可以被norm函数替换,而不会牺牲等价性。出于数值原因,此替代公式是首选。有关详细信息,请参阅消除二...