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How is the best way to prove that a SPD problem is a dual of other SDP problem?

learningmath

By learningmath
in Applied Mathematics

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learningmath

learningmath

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How is the best way to prove that a SPD problem is a dual of other SDP problem? I have a SDP problem primal and its dual. I know that they are dual and primal. But how I can prove it mathematically?

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