A method of power production comprising: combusting fuel (112, 312) with an oxidant stream (108, 308) in a combustor (102, 302) in the presence of a recycle COz stream (107, 307) at a pressure of about 100 bar to about 500 bar to form a combustion stream (110, 310); expanding the combustion stream (110, 310) to a lower pressure in a turbine (103, 303) to produce power and form a turbine exhaust stream (109, 309); cooling the turbine exhaust stream (109, 309) in a heat exchanger (100, 300) having a plurality of sections operating at different temperature ranges; purifying the turbine exhaust (113, 313) to form a substantially pure CO 2 stream (122, 322); separating the substantially pure COz stream (122, 322) into a first portion (160, 366) and a second portion (138a, 338); pumping the first portion (160, 366) and the second portion (138a, 338) of the substantially pure COz stream (122, 322) to an increased pressure; independently passing the first portion (160, 366) and the second portion (138a, 338) of the substantially pure COz stream (122, 322) through the heat exchanger (100, 300) to increase a temperature thereof; passing the first portion (160, 366) of the substantially pure COz stream (122, 322) to the combustor (102, 302) as the recycle COz stream (107, 307); and passing the second portion (138a, 338) of the substantially pure COz stream (122, 322) to the combustor (102, 302); wherein the second portion (138a, 338) of the substantially pure COz stream (122, 322) bypasses at least one section of the plurality of sections of the heat exchanger (100, 300) by: withdrawing the second portion (138a, 338) of the substantially pure COz stream (122, 322) upstream from the at least one section of the plurality of sections of the heat exchanger (100, 300); processing the second portion (138a, 338) of the substantially pure COz (122, 322) stream in a compressor (136, 336) so as to increase a pressure and a temperature of the second portion (138a, 338) of the substantially pure COz stream (122, 322) and thus form a bypass portion (137, 337) of the substantially pure COz stream (122, 322); and entering the bypass portion (137, 337) of the substantially pure COz stream (122, 322) into the heat exchanger downstream from the at least one section of the plurality of sections of the heat exchanger (100, 300). combusting fuel (112, 312) with an oxidant stream (108, 308) in a combustor (102, 302) in the presence of a recycle COz stream (107, 307) at a pressure of about 100 bar to about 500 bar to form a combustion stream (110, 310); expanding the combustion stream (110, 310) to a lower pressure in a turbine (103, 303) to produce power and form a turbine exhaust stream (109, 309); cooling the turbine exhaust stream (109, 309) in a heat exchanger (100, 300) having a plurality of sections operating at different temperature ranges; purifying the turbine exhaust (113, 313) to form a substantially pure CO 2 stream (122, 322); separating the substantially pure COz stream (122, 322) into a first portion (160, 366) and a second portion (138a, 338); pumping the first portion (160, 366) and the second portion (138a, 338) of the substantially pure COz stream (122, 322) to an increased pressure; independently passing the first portion (160, 366) and the second portion (138a, 338) of the substantially pure COz stream (122, 322) through the heat exchanger (100, 300) to increase a temperature thereof; passing the first portion (160, 366) of the substantially pure COz stream (122, 322) to the combustor (102, 302) as the recycle COz stream (107, 307); and passing the second portion (138a, 338) of the substantially pure COz stream (122, 322) to the combustor (102, 302); wherein the second portion (138a, 338) of the substantially pure COz stream (122, 322) bypasses at least one section of the plurality of sections of the heat exchanger (100, 300) by: withdrawing the second portion (138a, 338) of the substantially pure COz stream (122, 322) upstream from the at least one section of the plurality of sections of the heat exchanger (100, 300); processing the second portion (138a, 338) of the substantially pure COz (122, 322) stream in a compressor (136, 336) so as to increase a pressure and a temperature of the second portion (138a, 338) of the substantially pure COz stream (122, 322) and thus form a bypass portion (137, 337) of the substantially pure COz stream (122, 322); and entering the bypass portion (137, 337) of the substantially pure COz stream (122, 322) into the heat exchanger downstream from the at least one section of the plurality of sections of the heat exchanger (100, 300). withdrawing the second portion (138a, 338) of the substantially pure COz stream (122, 322) upstream from the at least one section of the plurality of sections of the heat exchanger (100, 300); processing the second portion (138a, 338) of the substantially pure COz (122, 322) stream in a compressor (136, 336) so as to increase a pressure and a temperature of the second portion (138a, 338) of the substantially pure COz stream (122, 322) and thus form a bypass portion (137, 337) of the substantially pure COz stream (122, 322); and entering the bypass portion (137, 337) of the substantially pure COz stream (122, 322) into the heat exchanger downstream from the at least one section of the plurality of sections of the heat exchanger (100, 300).