[37] | 1 | function sdpvar_hankel |
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| 2 | |
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| 3 | c = sdpvar(4,1); |
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| 4 | assign(c,[2 4 6 8]'); |
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| 5 | ok = all(all(double(hankel(c,c))-hankel(double(c),double(c)) == 0)); |
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| 6 | mbg_asserttrue(ok) |
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| 7 | |
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| 8 | ok = all(all(double(hankel(c))-hankel(double(c)) == 0)); |
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| 9 | mbg_asserttrue(ok) |
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| 10 | |
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| 11 | r = sdpvar(4,1); |
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| 12 | assign(r,-[2 4 6 8]'); |
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| 13 | ok = all(all(double(hankel(c,r))-hankel(double(c),double(r)) == 0)); |
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| 14 | mbg_asserttrue(ok) |
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| 15 | |
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| 16 | c = sdpvar(4,1); |
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| 17 | assign(c,[2 4 6 8]'); |
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| 18 | r = sdpvar(2,1); |
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| 19 | assign(r,-[2 4]'); |
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| 20 | ok = all(all(double(hankel(c,r))-hankel(double(c),double(r)) == 0)); |
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| 21 | mbg_asserttrue(ok) |
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| 22 | |
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| 23 | ok = all(all(double(hankel(r,c'))-hankel(double(r),double(c')) == 0)); |
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| 24 | mbg_asserttrue(ok) |
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| 25 | |
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| 26 | c = sdpvar(2,3); |
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| 27 | r = sdpvar(4,1); |
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| 28 | assign(c,[1 2 3;4 5 6]); |
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| 29 | assign(r,[1 2 3 4]'); |
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| 30 | ok = all(all(double(hankel(c,r))-hankel(double(c),double(r))==0)); |
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| 31 | mbg_asserttrue(ok) |
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| 32 | |
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| 33 | c = sdpvar(2,3); |
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| 34 | r = sdpvar(4,1); |
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| 35 | assign(c,[1 2 3;4 5 6]); |
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| 36 | assign(r,[1 2 3 4]'); |
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| 37 | ok = all(all(double(hankel(r,c))-hankel(double(r),double(c))==0)); |
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| 38 | mbg_asserttrue(ok) |
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| 39 | |
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| 40 | c = sdpvar(4,1,'full','complex'); |
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| 41 | assign(c,[2 4 6 8]'+sqrt(-1)*[5 4 3 2]'); |
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| 42 | ok = all(all(double(hankel(c,c))-hankel(double(c),double(c)) == 0)); |
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| 43 | mbg_asserttrue(ok) |
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| 44 | |
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| 45 | ok = all(all(double(hankel(c))-hankel(double(c)) == 0)); |
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| 46 | mbg_asserttrue(ok) |
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| 47 | |
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| 48 | c = sdpvar(4,1,'full','complex'); |
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| 49 | assign(c,[2 4 6 8]'+sqrt(-1)*[5 4 3 2]'); |
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| 50 | r = sdpvar(4,1); |
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| 51 | assign(r,-[2 4 6 8]'); |
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| 52 | ok = all(all(double(hankel(c,r))-hankel(double(c),double(r)) == 0)); |
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| 53 | mbg_asserttrue(ok) |
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| 54 | |
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| 55 | r = sdpvar(2,1); |
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| 56 | assign(r,-[2 4]'+sqrt(-1)); |
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| 57 | ok = all(all(double(hankel(c,r))-hankel(double(c),double(r)) == 0)); |
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| 58 | mbg_asserttrue(ok) |
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| 59 | |
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| 60 | ok = all(all(double(hankel(r,c'))-hankel(double(r),double(c')) == 0)); |
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| 61 | mbg_asserttrue(ok) |
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| 62 | |
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| 63 | c = sdpvar(2,3); |
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| 64 | r = sdpvar(4,1); |
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| 65 | assign(c,[1 2 3;4 5 6]); |
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| 66 | assign(r,[1 2 3 4]'*sqrt(-1)); |
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| 67 | ok = all(all(double(hankel(c,r))-hankel(double(c),double(r))==0)); |
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| 68 | mbg_asserttrue(ok) |
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| 69 | |
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| 70 | c = sdpvar(2,3); |
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| 71 | r = sdpvar(4,1); |
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| 72 | assign(c,[1 2 3;4 5 6]*sqrt(-1)); |
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| 73 | assign(r,[1 2 3 4]'); |
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| 74 | ok = all(all(double(hankel(r,c))-hankel(double(r),double(c))==0)); |
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| 75 | mbg_asserttrue(ok) |
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