doc/eq2.svg

<?xml version='1.0' encoding='UTF-8'?>
<!-- \overrightarrow{a_{n+1}}=\overrightarrow{a_n} + D*\gamma^n\widehat{\nabla\mathrm{SDF}(\overrightarrow{a_n})} -->
<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='171.014166pt' height='19.351691pt' viewBox='-.239051 -.226856 171.014166 19.351691'>
<defs>
<path id='g0-92' d='M13.939726-10.126027L.131507-7.424159C-.083686-7.376339-.131507-7.376339-.131507-7.256787C-.131507-7.232877-.131507-7.041594 .02391-7.041594C.059776-7.041594 .083686-7.041594 .191283-7.065504L13.939726-9.372852L27.700125-7.065504C27.807721-7.041594 27.831631-7.041594 27.855542-7.041594C28.010959-7.041594 28.010959-7.232877 28.010959-7.256787C28.010959-7.376339 27.915318-7.400249 27.783811-7.424159L13.939726-10.126027Z'/>
<path id='g5-40' d='M3.88543 2.905106C3.88543 2.86924 3.88543 2.84533 3.682192 2.642092C2.486675 1.43462 1.817186-.537983 1.817186-2.976837C1.817186-5.296139 2.379078-7.292653 3.765878-8.703362C3.88543-8.810959 3.88543-8.834869 3.88543-8.870735C3.88543-8.942466 3.825654-8.966376 3.777833-8.966376C3.622416-8.966376 2.642092-8.105604 2.056289-6.933998C1.446575-5.726526 1.171606-4.447323 1.171606-2.976837C1.171606-1.912827 1.338979-.490162 1.960648 .789041C2.666002 2.223661 3.646326 3.000747 3.777833 3.000747C3.825654 3.000747 3.88543 2.976837 3.88543 2.905106Z'/>
<path id='g5-41' d='M3.371357-2.976837C3.371357-3.88543 3.251806-5.36787 2.582316-6.75467C1.876961-8.18929 .896638-8.966376 .765131-8.966376C.71731-8.966376 .657534-8.942466 .657534-8.870735C.657534-8.834869 .657534-8.810959 .860772-8.607721C2.056289-7.400249 2.725778-5.427646 2.725778-2.988792C2.725778-.669489 2.163885 1.327024 .777086 2.737733C.657534 2.84533 .657534 2.86924 .657534 2.905106C.657534 2.976837 .71731 3.000747 .765131 3.000747C.920548 3.000747 1.900872 2.139975 2.486675 .968369C3.096389-.251059 3.371357-1.542217 3.371357-2.976837Z'/>
<path id='g5-43' d='M4.770112-2.761644H8.069738C8.237111-2.761644 8.452304-2.761644 8.452304-2.976837C8.452304-3.203985 8.249066-3.203985 8.069738-3.203985H4.770112V-6.503611C4.770112-6.670984 4.770112-6.886177 4.554919-6.886177C4.327771-6.886177 4.327771-6.682939 4.327771-6.503611V-3.203985H1.028144C.860772-3.203985 .645579-3.203985 .645579-2.988792C.645579-2.761644 .848817-2.761644 1.028144-2.761644H4.327771V.537983C4.327771 .705355 4.327771 .920548 4.542964 .920548C4.770112 .920548 4.770112 .71731 4.770112 .537983V-2.761644Z'/>
<path id='g5-61' d='M8.069738-3.873474C8.237111-3.873474 8.452304-3.873474 8.452304-4.088667C8.452304-4.315816 8.249066-4.315816 8.069738-4.315816H1.028144C.860772-4.315816 .645579-4.315816 .645579-4.100623C.645579-3.873474 .848817-3.873474 1.028144-3.873474H8.069738ZM8.069738-1.649813C8.237111-1.649813 8.452304-1.649813 8.452304-1.865006C8.452304-2.092154 8.249066-2.092154 8.069738-2.092154H1.028144C.860772-2.092154 .645579-2.092154 .645579-1.876961C.645579-1.649813 .848817-1.649813 1.028144-1.649813H8.069738Z'/>
<path id='g5-68' d='M.502117-8.16538V-7.81868H.74122C1.601993-7.81868 1.637858-7.699128 1.637858-7.256787V-.908593C1.637858-.466252 1.601993-.3467 .74122-.3467H.502117V0H4.686426C6.682939 0 8.284932-1.793275 8.284932-4.004981C8.284932-6.312329 6.670984-8.16538 4.686426-8.16538H.502117ZM3.132254-.3467C2.606227-.3467 2.582316-.430386 2.582316-.824907V-7.340473C2.582316-7.734994 2.606227-7.81868 3.132254-7.81868H4.387547C5.379826-7.81868 6.168867-7.340473 6.659029-6.551432C7.197011-5.702615 7.197011-4.495143 7.197011-4.016936C7.197011-3.347447 7.185056-2.223661 6.503611-1.338979C6.109091-.836862 5.391781-.3467 4.387547-.3467H3.132254Z'/>
<path id='g5-70' d='M6.826401-8.141469H.490162V-7.79477H.729265C1.590037-7.79477 1.625903-7.675218 1.625903-7.232877V-.908593C1.625903-.466252 1.590037-.3467 .729265-.3467H.490162V0C.777086-.02391 1.841096-.02391 2.199751-.02391C2.618182-.02391 3.670237-.02391 4.016936 0V-.3467H3.658281C2.618182-.3467 2.594271-.490162 2.594271-.920548V-3.897385H3.646326C4.770112-3.897385 4.889664-3.502864 4.889664-2.49863H5.152677V-5.642839H4.889664C4.889664-4.638605 4.770112-4.244085 3.646326-4.244085H2.594271V-7.316563C2.594271-7.711083 2.618182-7.79477 3.144209-7.79477H4.638605C6.360149-7.79477 6.706849-7.161146 6.874222-5.475467H7.137235L6.826401-8.141469Z'/>
<path id='g5-83' d='M2.486675-4.985305C1.876961-5.140722 1.338979-5.738481 1.338979-6.503611C1.338979-7.340473 2.008468-8.093649 2.940971-8.093649C4.901619-8.093649 5.164633-6.156912 5.236364-5.642839C5.260274-5.499377 5.260274-5.451557 5.379826-5.451557C5.511333-5.451557 5.511333-5.511333 5.511333-5.726526V-8.141469C5.511333-8.356663 5.511333-8.416438 5.391781-8.416438C5.355915-8.416438 5.308095-8.416438 5.224408-8.261021L4.829888-7.531756C4.25604-8.272976 3.466999-8.416438 2.940971-8.416438C1.613948-8.416438 .645579-7.352428 .645579-6.133001C.645579-5.559153 .848817-5.033126 1.291158-4.554919C1.709589-4.088667 2.12802-3.981071 2.976837-3.765878C3.395268-3.670237 4.052802-3.502864 4.220174-3.431133C4.782067-3.156164 5.152677-2.510585 5.152677-1.841096C5.152677-.944458 4.519054-.095641 3.526775-.095641C2.988792-.095641 2.247572-.227148 1.661768-.74122C.968369-1.362889 .920548-2.223661 .908593-2.618182C.896638-2.713823 .800996-2.713823 .777086-2.713823C.645579-2.713823 .645579-2.654047 .645579-2.438854V-.02391C.645579 .191283 .645579 .251059 .765131 .251059C.836862 .251059 .848817 .227148 .932503 .083686C.980324-.011955 1.231382-.454296 1.327024-.633624C1.75741-.155417 2.510585 .251059 3.53873 .251059C4.877709 .251059 5.846077-.884682 5.846077-2.199751C5.846077-2.929016 5.571108-3.466999 5.248319-3.861519C4.805978-4.399502 4.267995-4.531009 3.801743-4.65056L2.486675-4.985305Z'/>
<path id='g1-0' d='M7.878456-2.749689C8.081694-2.749689 8.296887-2.749689 8.296887-2.988792S8.081694-3.227895 7.878456-3.227895H1.41071C1.207472-3.227895 .992279-3.227895 .992279-2.988792S1.207472-2.749689 1.41071-2.749689H7.878456Z'/>
<path id='g1-3' d='M3.287671-5.104857C3.299626-5.272229 3.299626-5.559153 2.988792-5.559153C2.797509-5.559153 2.642092-5.403736 2.677958-5.248319V-5.092902L2.84533-3.239851L1.315068-4.351681C1.207472-4.411457 1.183562-4.435367 1.099875-4.435367C.932503-4.435367 .777086-4.267995 .777086-4.100623C.777086-3.90934 .896638-3.861519 1.016189-3.801743L2.713823-2.988792L1.06401-2.187796C.872727-2.092154 .777086-2.044334 .777086-1.865006S.932503-1.530262 1.099875-1.530262C1.183562-1.530262 1.207472-1.530262 1.506351-1.75741L2.84533-2.725778L2.666002-.71731C2.666002-.466252 2.881196-.406476 2.976837-.406476C3.120299-.406476 3.299626-.490162 3.299626-.71731L3.120299-2.725778L4.65056-1.613948C4.758157-1.554172 4.782067-1.530262 4.865753-1.530262C5.033126-1.530262 5.188543-1.697634 5.188543-1.865006C5.188543-2.044334 5.080946-2.10411 4.937484-2.175841C4.220174-2.534496 4.196264-2.534496 3.251806-2.976837L4.901619-3.777833C5.092902-3.873474 5.188543-3.921295 5.188543-4.100623S5.033126-4.435367 4.865753-4.435367C4.782067-4.435367 4.758157-4.435367 4.459278-4.208219L3.120299-3.239851L3.287671-5.104857Z'/>
<path id='g1-33' d='M9.97061-2.749689C9.313076-2.247572 8.990286-1.75741 8.894645-1.601993C8.356663-.777086 8.261021-.02391 8.261021-.011955C8.261021 .131507 8.404483 .131507 8.500125 .131507C8.703362 .131507 8.715318 .107597 8.763138-.107597C9.038107-1.279203 9.743462-2.283437 11.094396-2.833375C11.237858-2.881196 11.273724-2.905106 11.273724-2.988792S11.201993-3.108344 11.178082-3.120299C10.652055-3.323537 9.205479-3.921295 8.751183-5.929763C8.715318-6.073225 8.703362-6.109091 8.500125-6.109091C8.404483-6.109091 8.261021-6.109091 8.261021-5.965629C8.261021-5.941719 8.368618-5.188543 8.870735-4.387547C9.109838-4.028892 9.456538-3.610461 9.97061-3.227895H1.08792C.872727-3.227895 .657534-3.227895 .657534-2.988792S.872727-2.749689 1.08792-2.749689H9.97061Z'/>
<path id='g1-114' d='M9.325031-7.902366C9.348941-7.938232 9.384807-8.021918 9.384807-8.069738C9.384807-8.153425 9.372852-8.16538 9.097883-8.16538H.848817C.573848-8.16538 .561893-8.153425 .561893-8.069738C.561893-8.021918 .597758-7.938232 .621669-7.902366L4.65056 .167372C4.734247 .32279 4.770112 .394521 4.97335 .394521S5.212453 .32279 5.296139 .167372L9.325031-7.902366ZM2.044334-7.304608H8.607721L5.332005-.729265L2.044334-7.304608Z'/>
<path id='g3-13' d='M4.519054-1.458531C4.495143-2.044334 4.471233-2.964882 4.016936-4.040847C3.777833-4.638605 3.371357-5.272229 2.49863-5.272229C1.028144-5.272229 .227148-3.395268 .227148-3.084433C.227148-2.976837 .310834-2.976837 .3467-2.976837C.454296-2.976837 .454296-3.000747 .514072-3.156164C.765131-3.897385 1.530262-4.483188 2.355168-4.483188C4.016936-4.483188 4.25604-2.630137 4.25604-1.446575C4.25604-.6934 4.172354-.442341 4.100623-.203238C3.873474 .537983 3.478954 2.020423 3.478954 2.355168C3.478954 2.450809 3.514819 2.558406 3.610461 2.558406C3.789788 2.558406 3.897385 2.163885 4.028892 1.685679C4.315816 .633624 4.387547 .107597 4.447323-.37061C4.483188-.657534 5.164633-2.630137 6.109091-4.507098C6.192777-4.698381 6.360149-5.021171 6.360149-5.057036C6.360149-5.068991 6.348194-5.152677 6.240598-5.152677C6.216687-5.152677 6.156912-5.152677 6.133001-5.104857C6.109091-5.080946 5.69066-4.267995 5.332005-3.455044C5.152677-3.048568 4.913574-2.510585 4.519054-1.458531Z'/>
<path id='g3-68' d='M1.876961-.884682C1.769365-.466252 1.745455-.3467 .908593-.3467C.681445-.3467 .561893-.3467 .561893-.131507C.561893 0 .633624 0 .872727 0H4.662516C7.07746 0 9.432628-2.49863 9.432628-5.164633C9.432628-6.886177 8.404483-8.16538 6.694894-8.16538H2.857285C2.630137-8.16538 2.52254-8.16538 2.52254-7.938232C2.52254-7.81868 2.630137-7.81868 2.809465-7.81868C3.53873-7.81868 3.53873-7.723039 3.53873-7.591532C3.53873-7.567621 3.53873-7.49589 3.490909-7.316563L1.876961-.884682ZM4.399502-7.352428C4.507098-7.79477 4.554919-7.81868 5.021171-7.81868H6.336239C7.460025-7.81868 8.488169-7.208966 8.488169-5.559153C8.488169-4.961395 8.249066-2.881196 7.089415-1.566127C6.75467-1.171606 5.846077-.3467 4.471233-.3467H3.108344C2.940971-.3467 2.917061-.3467 2.84533-.358655C2.713823-.37061 2.701868-.394521 2.701868-.490162C2.701868-.573848 2.725778-.645579 2.749689-.753176L4.399502-7.352428Z'/>
<path id='g3-97' d='M3.598506-1.422665C3.53873-1.219427 3.53873-1.195517 3.371357-.968369C3.108344-.633624 2.582316-.119552 2.020423-.119552C1.530262-.119552 1.255293-.561893 1.255293-1.267248C1.255293-1.924782 1.625903-3.263761 1.853051-3.765878C2.259527-4.60274 2.82142-5.033126 3.287671-5.033126C4.076712-5.033126 4.23213-4.052802 4.23213-3.957161C4.23213-3.945205 4.196264-3.789788 4.184309-3.765878L3.598506-1.422665ZM4.363636-4.483188C4.23213-4.794022 3.90934-5.272229 3.287671-5.272229C1.936737-5.272229 .478207-3.526775 .478207-1.75741C.478207-.573848 1.171606 .119552 1.984558 .119552C2.642092 .119552 3.203985-.394521 3.53873-.789041C3.658281-.083686 4.220174 .119552 4.578829 .119552S5.224408-.095641 5.439601-.526027C5.630884-.932503 5.798257-1.661768 5.798257-1.709589C5.798257-1.769365 5.750436-1.817186 5.678705-1.817186C5.571108-1.817186 5.559153-1.75741 5.511333-1.578082C5.332005-.872727 5.104857-.119552 4.614695-.119552C4.267995-.119552 4.244085-.430386 4.244085-.669489C4.244085-.944458 4.27995-1.075965 4.387547-1.542217C4.471233-1.841096 4.531009-2.10411 4.62665-2.450809C5.068991-4.244085 5.176588-4.674471 5.176588-4.746202C5.176588-4.913574 5.045081-5.045081 4.865753-5.045081C4.483188-5.045081 4.387547-4.62665 4.363636-4.483188Z'/>
<path id='g2-110' d='M1.594022-1.307098C1.617933-1.42665 1.697634-1.729514 1.721544-1.849066C1.833126-2.279452 1.833126-2.287422 2.016438-2.550436C2.279452-2.940971 2.654047-3.291656 3.188045-3.291656C3.474969-3.291656 3.642341-3.124284 3.642341-2.749689C3.642341-2.311333 3.307597-1.40274 3.156164-1.012204C3.052553-.749191 3.052553-.70137 3.052553-.597758C3.052553-.143462 3.427148 .079701 3.769863 .079701C4.550934 .079701 4.877709-1.036115 4.877709-1.139726C4.877709-1.219427 4.813948-1.243337 4.758157-1.243337C4.662516-1.243337 4.646575-1.187547 4.622665-1.107846C4.431382-.454296 4.096638-.143462 3.793773-.143462C3.666252-.143462 3.602491-.223163 3.602491-.406476S3.666252-.765131 3.745953-.964384C3.865504-1.267248 4.216189-2.183811 4.216189-2.630137C4.216189-3.227895 3.801743-3.514819 3.227895-3.514819C2.582316-3.514819 2.16787-3.124284 1.936737-2.82142C1.880946-3.259776 1.530262-3.514819 1.123786-3.514819C.836862-3.514819 .637609-3.331507 .510087-3.084433C.318804-2.709838 .239103-2.311333 .239103-2.295392C.239103-2.223661 .294894-2.191781 .358655-2.191781C.462267-2.191781 .470237-2.223661 .526027-2.430884C.621669-2.82142 .765131-3.291656 1.099875-3.291656C1.307098-3.291656 1.354919-3.092403 1.354919-2.917061C1.354919-2.773599 1.315068-2.622167 1.251308-2.359153C1.235367-2.295392 1.115816-1.825156 1.083935-1.713574L.789041-.518057C.757161-.398506 .70934-.199253 .70934-.167372C.70934 .01594 .860772 .079701 .964384 .079701C1.107846 .079701 1.227397-.01594 1.283188-.111582C1.307098-.159402 1.370859-.430386 1.41071-.597758L1.594022-1.307098Z'/>
<path id='g4-43' d='M3.474969-1.809215H5.818182C5.929763-1.809215 6.105106-1.809215 6.105106-1.992528S5.929763-2.175841 5.818182-2.175841H3.474969V-4.527024C3.474969-4.638605 3.474969-4.813948 3.291656-4.813948S3.108344-4.638605 3.108344-4.527024V-2.175841H.757161C.645579-2.175841 .470237-2.175841 .470237-1.992528S.645579-1.809215 .757161-1.809215H3.108344V.541968C3.108344 .653549 3.108344 .828892 3.291656 .828892S3.474969 .653549 3.474969 .541968V-1.809215Z'/>
<path id='g4-49' d='M2.502615-5.076961C2.502615-5.292154 2.486675-5.300125 2.271482-5.300125C1.944707-4.98132 1.522291-4.790037 .765131-4.790037V-4.527024C.980324-4.527024 1.41071-4.527024 1.872976-4.742217V-.653549C1.872976-.358655 1.849066-.263014 1.091905-.263014H.812951V0C1.139726-.02391 1.825156-.02391 2.183811-.02391S3.235866-.02391 3.56264 0V-.263014H3.283686C2.526526-.263014 2.502615-.358655 2.502615-.653549V-5.076961Z'/>
</defs>
<g id='page1' transform='matrix(1.13 0 0 1.13 -63.986043 -60.721742)'>
<use x='56.413267' y='62.512572' xlink:href='#g1-0'/>
<use x='61.736719' y='62.512572' xlink:href='#g1-0'/>
<use x='67.060033' y='62.512572' xlink:href='#g1-33'/>
<use x='56.413267' y='67.659941' xlink:href='#g3-97'/>
<use x='62.558211' y='69.453204' xlink:href='#g2-110'/>
<use x='67.696414' y='69.453204' xlink:href='#g4-43'/>
<use x='74.282921' y='69.453204' xlink:href='#g4-49'/>
<use x='82.336061' y='67.659941' xlink:href='#g5-61'/>
<use x='94.761542' y='62.512572' xlink:href='#g1-0'/>
<use x='94.761709' y='62.512572' xlink:href='#g1-33'/>
<use x='94.848587' y='67.659941' xlink:href='#g3-97'/>
<use x='100.993531' y='69.453204' xlink:href='#g2-110'/>
<use x='109.373571' y='67.659941' xlink:href='#g5-43'/>
<use x='121.134886' y='67.659941' xlink:href='#g3-68'/>
<use x='133.836025' y='67.659941' xlink:href='#g1-3'/>
<use x='142.470295' y='67.659941' xlink:href='#g3-13'/>
<use x='149.192523' y='62.723755' xlink:href='#g2-110'/>
<use x='167.933797' y='63.661325' xlink:href='#g0-92'/>
<use x='154.828858' y='67.659941' xlink:href='#g1-114'/>
<use x='164.791528' y='67.659941' xlink:href='#g5-83'/>
<use x='171.294851' y='67.659941' xlink:href='#g5-68'/>
<use x='180.234855' y='67.659941' xlink:href='#g5-70'/>
<use x='187.874188' y='67.659941' xlink:href='#g5-40'/>
<use x='192.426514' y='62.512572' xlink:href='#g1-0'/>
<use x='192.426681' y='62.512572' xlink:href='#g1-33'/>
<use x='192.513559' y='67.659941' xlink:href='#g3-97'/>
<use x='198.658504' y='69.453204' xlink:href='#g2-110'/>
<use x='204.38188' y='67.659941' xlink:href='#g5-41'/>
</g>
</svg>